{"text":"Question: Suppose 35*x - 4709 + 929 = 0. Calculate the highest common factor of x and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -88.32, 3, -0.5, 8\/7 in ascending order.\nAnswer: -88.32, -0.5, 8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 313 - -111310100?\nAnswer: 111311013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4612 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: What is 18 + -13 + -2*(-34)\/(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 0 + 0)*(-847 + 2596 + 680 + 2615 + 1393)*(-1 + 2 - 6).\nAnswer: 32185*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -3*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + ((-3)\/(-12) - 13\/4). Suppose 3*m = 2*i + 8567, -m = 4*i - 0*m + 17155. Let j be (-1250)\/(h + 4\/i). Round j to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 14*n + 8. Let r be d(-13). Let m(y) = -5*y - 27. Let a be m(r). Is 1 - (a + 1) - -975 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 2 + 19 = -9*d, d - 9 = -4*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 0.1  (b) 1\/4  (c) 0.1326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.7639427 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 375 + -364. Solve -2*y - u = m, 2*y - 7*y + 5*m - 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3744833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -4*w + 12. Suppose -3*c = -w*l + 26 + 19, 2*c = -10. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fcvsvvvvcgvgcfvcgg. What is prob of sequence ccsv?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5100572 - -3555672. Round q to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-4))\/((-13)\/260). Let r be (-4)\/(-10) - 43\/(-5). Solve -4*d - q = -r*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g + 10*g + 15*g - 28*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1205, 2 in decreasing order.\nAnswer: 1205, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 24, 0.1, -59885?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.24 + 1.34. What is the nearest to 1 in t, 1\/5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, -82, 2\/31, 0.7 in descending order.\nAnswer: 34, 0.7, 2\/31, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.224 - -35.176. Let n = x - 35. Sort -0.3, 40, n in increasing order.\nAnswer: -0.3, n, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11451 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*b**2 - 3*b**2 + 2*b**2)*(3*b**3 - 4*b**3 - b**3).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(11) - (-1 + sqrt(176)))**2.\nAnswer: -400 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -5*y**2 - 2*y + 23. Let v(g) = -10*g**2 - 5*g + 45. Let z(b) = 5*h(b) - 3*v(b). Calculate the lowest common multiple of 16 and z(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3 - 1006*j**2 - 48347*j - 47340.\nAnswer: (j - 1052)*(j + 1)*(j + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 36*i**2 - 36*i + 49. Let u be v(-37). Suppose u*o - 3*j = 17*o - 25, 4*o = j + 20. Solve -o*m + 5 = -5*w, -4*w + 5*m + 2 = 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*w = 124. Suppose -w - 192 = -l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*6)\/((-510)\/3781735) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -27*j - 428. Give g(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2931986747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 70 - 80. Let m(a) = 4*a**3 + a**2 + 5. Let r(s) = s**3 + 1. Suppose -8 - 136 = 4*q. Let o be q\/(-21) - 2\/(-7). What is i*r(u) + o*m(u)?\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -274, 50, 2\/7, -5 in descending order.\nAnswer: 50, 2\/7, -5, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*m - 7*m = 3, -3 = 3*m. Is p equal to 0.6679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*r - 38*r + 69*r - 8.\nAnswer: 19*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 557 and 30588\/55 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 7409107.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-155)\/6 + 60\/24 + 12\/(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = 19*o - 43 + 70 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -6*x + 300. What is the remainder when x is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 AM and 9:20 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92698771 and 219106186.\nAnswer: 2410168046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -28. Let i = -21 - -77. What is the greatest common divisor of i and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 40 = 2*r + 3*r, 45 = 5*r - 3*n. Let l be (9 - r) + 1*3. Round l to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3 - 22*v + 11*v + 5 + 2*v**2. Let y be g(4). Put 4, 0, y, -5 in decreasing order.\nAnswer: 4, 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5148307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3770546, -3770545, -3770544, -3770543, -3770542, -3770541?\nAnswer: -3770540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186*j + 74881 = 248*j + 22371 - 6948 for j.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00034 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 1274650*l**2 + 1378. Let d(n) = -2777*n**2 - 3. Determine 1378*d(f) + 3*r(f).\nAnswer: -2756*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -2\/7, -0.5, 7, -759, 0 in decreasing order.\nAnswer: 7, 3, 0, -2\/7, -0.5, -4, -759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4593.\nAnswer: 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (-1 - (1 - 17))) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 320925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 535107918 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express z**3 - 4*z**3 - 20*z**4 - 3*z**2 - 4*z**3 - 1 - 9*z**4 + 33*z**4 as i*z + s + w*z**2 + d*z**3 + r*z**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 30415510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2321.7694 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 + 39*m**2 - m + 33. Determine g(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47 - 41. Solve 16 = -u*z + 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -54859449*f**3 - 24858917*f**2?\nAnswer: -329156694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + b + 2471 = 0, 1228 = -2*x + 4*x + 2*b. Let u = -11 + x. What are the prime factors of u?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*8.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 - -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -537747, -537749, -537751, -537753, -537755?\nAnswer: -537757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-5)\/75)\/((-28)\/105))\/(19\/(-4))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 549 divide 6491178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 18 - 27 = 3*a, -5*l - 17 = -4*a + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 55785 and 44628.\nAnswer: 223140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 + 34 = -3*v. Suppose -4*b = b - v. Suppose -b*y = 4*w - 60, 3*y + 46 = 4*w - 0*w. Calculate the greatest common factor of w and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29971933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8874 and 4650498?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1.07*4948\nAnswer: 5294.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m\/((m*m*m\/(m**(-2\/33)\/m)*m*m)\/m))\/m))\/m*m*m\/(m*m**4*m*m)*(m**3)**(3\/40) assuming m is positive.\nAnswer: m**(-943\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4087844 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 - 2*l**2 - 2*l**2)*(3*l - 6*l + l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 5 - 13*x - 3*x to the form j + r*x and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 16 = 3*m, 0 = m - 1 - 3. Factor 41*u - 14*u - 15 + 3*u**t + 39.\nAnswer: 3*(u + 1)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 9}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b + 3. Suppose -14*u = 75 - 173. Let s(p) = -p + 4. Determine u*s(q) - 6*z(q).\nAnswer: -q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3460191, -3459921, -3459651?\n\"Answer: 270*x - 3460461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 10*l**3 - 3*l**2 - l. Let v be f(2). What are the prime factors of v*((-39)\/(-18) + 2\/(-4))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.36 + -10. Let m = 1.96 - 2. Let u = m - v. What is the closest to -1 in -4, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 292 + -289. What is the third biggest value in -169, 0.1, t, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.68 + -4.38. Put 1\/3, x, 0.5, -0.5 in decreasing order.\nAnswer: x, 0.5, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*(2\/(-42))\/1. Let s be 1 + -1 + (-2)\/6. Let y = -0.09 - -0.49. Sort a, y, s in descending order.\nAnswer: y, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(9)))**2 + sqrt(5) - (sqrt(180) + (-1*sqrt(180))**2).\nAnswer: -175 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 881\/6856 - 3\/857. What is the nearest to 0 in 0, f, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8\/3*s**2 + 0*s - 2\/9*s**4 + 0 + 14\/9*s**3 = 0. Calculate s.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 60*c.\nAnswer: -3*c*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30843\/3830 - -18\/383. What is the common denominator of a and -71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4236 less than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -2*z**2 + 0*z + 0*z**4 + 0 + 0*z**5 + 1\/120*z**6 - 1\/6*z**3. Differentiate b(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o + 2*j + 24, 5*o + 306*j - 303*j + 23 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-494)\/36 - -4) + 4 and -27\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3184027849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 AM and 4:57 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*b + 2129 - 3426 = -1810 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -206 and -77546.\nAnswer: 15974476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 51675 and 0.8?\nAnswer: 51674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8776, 17553, 26332, 35113, 43896, 52681, 61468?\nAnswer: 70257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - (-27)\/3) + 115\/(-15). What is the second biggest value in 2\/11, -80, -3, 1\/7, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u**3 - 8*u**2 - 58*u + 185. Determine l(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.84 + 0.8. Let m = n - 0.045. What is m rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/32 and -85\/44.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -68.9 * -99269.\nAnswer: 6839634.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**4\/24 - 3*d**2\/2 + 64*d + 125. Let g(y) be the second derivative of x(y). Let n(s) = 379*s. Give n(g(v)).\nAnswer: 379*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21642.\nAnswer: 2, 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 87\/54 - 3\/27\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 13*d - 4. Does 13 divide x(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1180060.\nAnswer: 2, 5, 7, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kwx when three letters picked without replacement from {w: 1, x: 1, k: 1, m: 2, s: 1, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4349963737 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 32.3222 micrometers?\nAnswer: 32322.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 + 5. Suppose -11 = 5*k + c, -3*k - 335 = -5*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 166.35 and -1.27538286?\nAnswer: 167.62538286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*p - 231 = 254*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 167879 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/33*(-24)\/16. Let y(r) = -2*r**2 + 7*r + 7. Let t be y(6). Let h = t + 117\/5. Put f, h, 1\/3 in decreasing order.\nAnswer: h, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 5*y + 25349995, -3*y + 6*y = -3. What is z rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021168 rounded to five dps?\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 82*d**5 - 38*d**5 + 274*d**5 + (-2 + 4 - 1)*(5*d**5 + d**5 - 2*d**5) - 5*d**4 - d**5 + 5*d**4.\nAnswer: 321*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9292 is divided by 1029?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92\/(-322)*-2*7\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 189.70001241 + -189.7. Round g to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - 22*s + 56. What is d(16)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*c + 185 = -118 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*a + 80008 = 0, 7*s + 5*a - 8*a - 280018 = 0. What are the prime factors of s?\nAnswer: 109, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v**3 - 19*v**3 - 87*v**3 + 18*v**3 - 71*v**3.\nAnswer: -168*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*6*(1 + -2). Suppose -2*j + 0 = f. Let h be 1\/(-6)*(-137 - -137). Sort j, h, 6.\nAnswer: j, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -90 + 85. Which is the closest to 3?  (a) -5\/2  (b) 4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3576179?\nAnswer: 3576179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 0.03472836.\nAnswer: 0.1736418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*w - 15 = 69*w, w - 13337 = -4*u. List the prime factors of u.\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -c - 3, 2*c + 3*a + 2*a = -9. Let n be (-2)\/((3 - (-87)\/(-33))\/c). What is the greatest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/264 and 29\/6138440?\nAnswer: 18415320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o + 9*o + 1962 = d, -4*o = 5*d - 2605. Let t = o - 636. Solve -6*g - 5 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 4*y - 4. Let u be (-4)\/8 + 2\/4. Suppose -5*c + 10 + 5 = u. Is k(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9 + 3187.\nAnswer: 3186.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 693 = 4*f - 700, 3*f - 9 = -3*c. Solve z + 5 = -2*q - 2*q, 0 = -3*q + f*z + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 7*c - 14. Let s(z) = -1. Let x(y) = -m(y) + 3*s(y). Let f be x(9). Let o(b) = -b**2 - 7*b + 6. Calculate o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -27, 1.394, 2.1, -2, 1\/5 in increasing order.\nAnswer: -27, -2, -2\/9, 1\/5, 1.394, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(0*w**2 - w**2 - w**2)*(-8 - w**2 + 8).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m*m*m\/m**(-2\/15))\/m*m)\/m)\/m**(-5)*(m**(-1)\/m)**(23\/5) assuming m is positive.\nAnswer: m**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (9 + (-4 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*u**2*y**4 - 18*u**2*y + 217*u**2 wrt y?\nAnswer: -20*u**2*y**3 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 47492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v\/(v*v\/v**(1\/54)*v*v)))\/v**(-10))**(-1\/7))**(-9) assuming v is positive.\nAnswer: v**(755\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 8*k + 111. Let w(n) = 12*n + 114. Calculate -8*c(m) + 6*w(m).\nAnswer: 8*m - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/11  (b) 0.1  (c) -1699\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(14) + (-2*sqrt(140) - sqrt(140) - sqrt(140))\/sqrt(10)))\/(((1*sqrt(14))\/sqrt(2) - sqrt(7)) + (sqrt(7) - (2*sqrt(7)*6 + sqrt(7)))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2897081553 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1197 and 3591?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5932)\/(-13347)*2862\/(-24)*-1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + -35 + -7 - 4) + (5 - 7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -2*w**3\/9 - 2*w**2\/3 - 29. Factor p(v).\nAnswer: -2*v*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/4572570 and 149\/252405864?\nAnswer: 1262029320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44619101*t**4 + 242*t + 6593?\nAnswer: 535429212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -5 - -3 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (-1*sqrt(19))**2)*3 - (sqrt(19)*1 + 1)**2)*-2 - ((sqrt(19) + 1 + sqrt(19)*-3)**2 + 4)*-6.\nAnswer: -26*sqrt(19) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 + -1 + (-5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/3 - 26*i**3 - 96*i**2 - 280*i\/3.\nAnswer: -2*i*(i + 2)**2*(i + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15354?\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 40\/30*(-3)\/(-2). Suppose -y*t - 9 + 23 = 0. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 21743856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (107\/6 - 17) + (-1153)\/(-6). Sort 7, 0, l in decreasing order.\nAnswer: l, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * 0.024.\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1195  (b) 2  (c) -0.047  (d) -0.02  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -13*i**2 - 47*i - 218. Let y(c) = -9*c**2 - 45*c - 216. Let s(q) = 2*g(q) - 3*y(q). Determine s(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 112 - 893\/8. Sort -5, 10, d.\nAnswer: -5, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 226267037 to the nearest integer?\nAnswer: 15042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*x + 0*x + 4*x - 2 + (3*x - 2*x + x)*(0 - 2 + 3) as h*x + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/1163910 and -17\/30.\nAnswer: 1163910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 192, -5, -326.\nAnswer: -326, -5, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 4 = -2*j. Let y(g) = 4*g**3 - 3*g**2 - 3*g + 3. Let b(h) = 3*h**3 - 2*h**2 - 2*h + 2. Let i be 28\/10 + (30\/25)\/6. Determine i*b(d) + j*y(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(35) + sqrt(875)))\/((sqrt(35) - (sqrt(35) - (sqrt(315) - sqrt(35))))\/sqrt(7)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 217660 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10510 divided by -10?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -193\/13530 and 169\/20370?\nAnswer: 9186870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -199336 divided by 199336.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 3*s + 965, 0 = 2*g - 2*s + 111 - 1073. What is the remainder when g is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**3 - 128*y**2 - 402*y - 7. Calculate q(67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**3\/3 - 9*f**2 - 16*f. Let r be j(9). Solve -6 = -3*p - r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 + -34. Suppose 261 - 63 = h*x. Let d = x - -1. Does 36 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -18 + 23 - 33 + 5*d. Let h be i(7). Let z(r) = 3*r - 23. Let x be z(h). Sort x, 0.2, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = -8*q - 6 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-4))\/(92\/16)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 257156849.\nAnswer: 19, 13534571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 minus 0.2634?\nAnswer: -0.2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -584 + 210 = -2*d + 712. List the prime factors of d.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*a = 49 - 231 - 173. Solve 0 = a*z - 2*d - 19, -4*z + 5*d + 13 = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) + (sqrt(119) + (sqrt(119) - -1*sqrt(119)) - sqrt(119)))*-1)*1)\/(sqrt(343)*-2 - sqrt(224)\/sqrt(8)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -14*(0 - 4) - 2. Suppose -4*z + w = 2*x + 3*x, z = 5*x - 49. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 6*b**2 + 5*b. Let r be v(4). Let l(f) be the first derivative of f**4\/4 + 11*f**3\/3 - 4*f**2 + 37. Let q be l(r). Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -48978 (base 15) to base 14.\nAnswer: -605b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -115*i - 377. Determine k(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -185251, -741483, -1668699, -2966899, -4636083, -6676251?\n\"Answer: -185492*o**2 + 244*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((2\/3)\/1). Does 12 divide (-1)\/2*-42 - h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 51 + -47. Let c*d**3 - 8*d**4 + 2*d**5 - 9*d**5 + 8*d**2 + 3*d**5 = 0. What is d?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2 + 2 + sqrt(19) + 5 + 1)**2 + (-3*sqrt(76) - (sqrt(1216) + -2 - sqrt(19)))**2).\nAnswer: -13080 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/11?  (a) 0.4  (b) 1  (c) 0.1  (d) 767  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1584))**2 - (sqrt(11) + (2*sqrt(1100) + sqrt(1100))**2 + sqrt(11)))*4 + -5.\nAnswer: -33269 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of a**4\/12 + a**3\/6 - a**2 + 3*a. What is the units digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21402599497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(-1)*(-84)\/(-252). Let z = -8.4 + 9. What is the third biggest value in -0.5, n, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/(-14))\/(240\/32)*(-460)\/8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, i: 1, s: 2, q: 8, u: 2, v: 3}. What is prob of sequence qvv?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 5*h + 2 = 0. Let r(u) be the third derivative of 1\/108*u**4 - 1\/135*u**5 + 1\/540*u**6 + u**h + 0*u**3 + 0 + 0*u. Let r(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a factor of 712274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (174\/4)\/((-118)\/(-7316)). What is the highest common divisor of 87 and y?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/17, -6283, 0.4, 4\/109?\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1314 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.804 + 1.804. Which is the closest to -2?  (a) -5  (b) 0  (c) -3\/4  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -113818386\nAnswer: 1\/113818386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a = -8*a - 14. Find the common denominator of (30\/4)\/(119\/a) and 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5147 - 51397\/10. Calculate the common denominator of g and 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 3*a - 0*a - 416, 4*b + a = 416. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/396 + 265\/396. Which is the second biggest value?  (a) 1\/2  (b) -1\/3  (c) 2  (d) -1.1  (e) l\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70557 smaller than -70557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -0.07, 9, -0.59?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -332434.69 - -96541?\nAnswer: -235893.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -44 + 72. Let z be 3\/((-2)\/12*-2). Suppose 0 = -2*f + z + 131. What is the greatest common factor of l and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*f + 9*f - 5*f)*((90 - 541 - 81)*(3 + 1 - 1) + (1 - 3 + 4)*(5 - 2 - 2)) to the form r + o*f and give o.\nAnswer: -11158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 7 + 3*f + 6 - f. Let h be s(-11). Suppose 2\/11 + 20\/11*w**3 + 48\/11*w**h - 50\/11*w**4 - 20\/11*w = 0. What is w?\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 6*m - 8. Let y be i(6). Let w = -24 - -16. Is y at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 90 - 22. Let g = 3 + 1. Suppose 4*m = -q + g. Is m less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 9. What is a(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5612 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001647031 rounded to six decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + w - 1 - w - w + 3*w + 0*w + 3*w - 5*w + (-5*w + 3*w + 3*w)*(3 - 2 + 0) - 5*w - 2*w - w + 2*w - w - 3*w as v + k*w and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -10 - (-18 + (-1 - (-5 + -6))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 6  (b) 5  (c) -1\/11  (d) -4  (e) -0.2  (f) -32\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*m*o**2 - 9*m*o*p**2 + 2*m*o*p - m*p**2 - 65*m*p - 29*o**3*p**2 + 378*o**3*p + o*p**2 + o*p wrt o?\nAnswer: -30*m - 174*o*p**2 + 2268*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/(-80)*10\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*(sqrt(252) + -4 + sqrt(7) - sqrt(7) - (sqrt(7) + (sqrt(7) - ((sqrt(700)*1 - sqrt(700)) + sqrt(7)))**2)).\nAnswer: -22 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 59168*z**3\/5 + 19261248*z**2\/5 + 134370*z + 5859\/5 = 0.\nAnswer: -651\/2, -3\/172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 - 0. Let r = 0.3 - x. Let y = -3 - 2. Sort r, -0.3, y in ascending order.\nAnswer: y, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 2*m - 5*m + (-1 - 1 + 0)*(0*m + 0*m + 2*m) - 34*m - 85*m + 1 - 37*m.\nAnswer: -162*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*v + 16*v + 24*v - 50*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 88\/(-12)*3\/2. Let q be x\/((-33)\/(-2)) + -2 + 1. Which is the second smallest value?  (a) q  (b) 1  (c) 2  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*((6\/38)\/((-1218)\/(-1653)))\/((-24)\/14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 18 - 12 = -n, 3*n - 34 = -2*d. Suppose d = 3*r + 2. What is the third biggest value in 0.3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 12:29 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.05593 times 91\nAnswer: -5.08963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 9, b: 8, h: 2}. What is prob of picking 3 k?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13*b**3*z + 12270426*b**3 + 671*b**2*z - 9*b*z + 7*z with respect to z.\nAnswer: -13*b**3 + 671*b**2 - 9*b + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2925121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 917154 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/6)\/((-4)\/78). Suppose 7*s - 6*s = b. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -46 and -46 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*m**2 + 4*m**2 - 2*m**3 + (-2 + 2 - m**2)*(11 - 11 + 10*m) + 4*m**3 + 2*m**3 - 5*m**3 in the form g + l*m + o*m**2 + k*m**3 and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.4 - 10.4. Suppose -j + 2 = 5*m - 0, 0 = -5*m + 4*j + 17. What is the third smallest value in w, m, -1\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90249607.\nAnswer: 7, 12892801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: 0.6 * -0.0882\nAnswer: -0.05292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -235*i - 171*i - 7*i - 33453 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 + 147325?\nAnswer: 147334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m = 70*m + 290. Let q(z) = -6*z**2 - 3 + z + z + 4 + 0. Let s(n) = -n**2 - 2 - 3*n + 1 + 8*n**2. Determine m*q(i) - 4*s(i).\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 105 - 118.6. Let n = x - -16. Let v = n - 2.3. What is the third smallest value in v, 3\/2, 3\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of 547*z**4\/4 - 1103*z**3\/3 + 85. What is the third derivative of c(n) wrt n?\nAnswer: 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 divided by -118682.\nAnswer: 24\/59341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24\/17 + -201\/34. Let q = 3261\/3736 + 1\/467. Find the common denominator of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/((-27)\/60) + 1. Round w to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.31, 8, 21, 0.1, -0.5, 373?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + -7. Let v be ((-6)\/n)\/(3\/2). Are v and 0.11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -34904, -1.\nAnswer: -34904, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 40\/(-140) + (-327)\/56 and -59\/54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25, -77, -163, -283?\n\"Answer: -17*s**2 - s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 5*j + 3*r, r = 3*j - 8*j + 78. Let m be (6\/(-8))\/(4\/(-16)). Suppose 0*l - 495 = -m*l. What is the greatest common factor of l and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 367816724?\nAnswer: 2, 11, 8359471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - s + (-3 + 1 + 1)*(3*s - 6*s + s) + 1 - 4*s - 1)*(16 + 20 + 15).\nAnswer: -153*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.4, 3, -89?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 11 = w. What is the lowest common multiple of 7 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84308 (base 13) in base 12?\nAnswer: b573b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2201201100220 (base 3) in base 2?\nAnswer: 101100010001111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 2:28 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -81*z. Let k(f) = -2889*f**2 + 6*f + 2. Calculate k(o(r)).\nAnswer: -18954729*r**2 - 486*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44595947 and 748.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 9, 1, -5, 0.7.\nAnswer: -14, -5, 0.7, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231 + 447. What is q rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2 + 4*s + 2. Let x(g) = -8*g**2 - 12*g - 5. Let t(b) = 11*c(b) + 4*x(b). What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1607*l - 685*l = -1744*l - 34658 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((3*7\/(-21))\/(-2))\/(1\/71626)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1\/5, 3\/8, 12.31, 0, -24, -5, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 153 + 141 = 0. Suppose -r*j + 5*z + 48780 = -2*j, -73192 = -3*j + 2*z. What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223 is divided by ((-98)\/(-70)*-5)\/((-2)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1162106354*g**2 - 2 + 2 - 1162106347*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 77*r + 788. Let j be f(86). Solve 0 = 20*w - j*w + 13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2 = 4. Let m be 7\/a*12\/7. Solve m*q - 4 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2086*u**2 + 63*u + 400. Let p(q) = -4169*q**2 + 105*q + 800. Let d(z) = 5*k(z) - 3*p(z). What is the first derivative of d(o) wrt o?\nAnswer: 4154*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 116, 238, 374, 530, 712, 926?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-2\/7)*d*d)))**19\/(d**(1\/4)\/(d*d*d**(-2)\/d*d*d)))\/(d**(1\/9)\/d**(-13))**(3\/5) assuming d is positive.\nAnswer: d**(26651\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.242 plus 1.6?\nAnswer: 1.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2966 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -6*x. Let v(a) = -9*a**2. Determine o(v(r)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4*a - 2445, 2*a - 4*a + 4*u = 1228. Let f be (a\/(-75))\/4 - 2. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -400, -641, -894, -1165, -1460, -1785, -2146?\n\"Answer: -d**3 - 234*d - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 37*g**3 + 11*g**2 - 17. Let o(u) = 6*u**3 + 2*u**2 - 3. Suppose -2*z + 24 = -c, 15 = -3*z - 0. What is c*o(k) + 6*l(k)?\nAnswer: 18*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 h, and 1 j when four letters picked without replacement from hhhhcjcttz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*w - 45 = 0, -3*x - 2*w + 3*w = 40. Let c be -4*(-3)\/x*(-20)\/8. Solve -i + c*i + m = 6, -4*i = -2*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -17280, -0.34, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 112 in ascending order.\nAnswer: -5, 2, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19 less than 0.0758?\nAnswer: 0.2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.47?  (a) -4  (b) -0.5  (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 57083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -189 + 193. Let q(c) be the first derivative of -10\/3*c**3 - x - 5*c**4 + 10*c**2 - c**5 + 15*c. Factor q(b).\nAnswer: -5*(b - 1)*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1598942639275683 + 1598942525635987.9999983. Let o = -113639666 - v. Let g = -29 + o. Round g to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3455, -13784, -30987, -55064, -86015, -123840, -168539?\n\"Answer: -3437*n**2 - 18*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*w**2 + 5*w**2 + 8*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + n - 12 = 0. Let s = 81 + -80. Suppose -5*m + 5*t - 2 = 13, 4*m + 28 = -4*t. Sort s, m, n in ascending order.\nAnswer: m, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 11*i + 29. Let y be d(4). What is the greatest common factor of 29 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5787 and 157149843?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -11) + -2 + (-3 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of 0*l + 0 - 1\/945*l**7 - 5\/27*l**4 - 8\/27*l**3 - 1\/15*l**5 + 4*l**2 - 7\/540*l**6. Factor u(p).\nAnswer: -2*(p + 1)*(p + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 - 6)*(3*m**3 + 6*m**3 - m**3 + (4*m + 0*m + 3*m)*(-3*m**2 - 2*m**2 + 4*m**2)) to g + i*m**2 + x*m**3 + o*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from quuwqwqq. What is prob of picking 2 w and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 702 and 33?\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152416*b**2 - 76226*b**2 - 76191*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 70 and 13370.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10941349.8 - -2.38\nAnswer: -10941347.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -8*n - 966. Which is bigger: n or -163?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235586.\nAnswer: 2, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150 is divided by 7670\/55 + (-54)\/(-99)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -78.7?\nAnswer: -82.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4)\/(k**(-10)\/k*k*k))**(-1\/11) assuming k is positive.\nAnswer: k**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 271730003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42 + -77 - 73) + 59.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 7 = -0. Let v = g + 23. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10973, 10974, 10975, 10976, 10977?\nAnswer: 10978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 168 = 2*s, 4*s = -2*g - 3*g + 176. Let v = g + -4. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4 and 29405 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13*-15587.\nAnswer: -2026.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + l - 8 = 2*v, -l - 4*v + 4 = 0. Suppose -4*r - 8 = 0, -9*r - 168 = -4*c - 13*r. What is the highest common divisor of l and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 400 = -5*r - 26, 0 = -4*r - l + 295. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -17 - 1 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-nine thirds of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(1 - 54\/56). Suppose 0 = 4*l - 2*c + 5*c - 33, 3*l = c + q. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 375 - 103. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.64 times -0.03?\nAnswer: -0.6792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in 1\/2, -2, 1\/46, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*d + 11. Let t(k) = 3*k**3 + 11*k**2 - k. Let b(j) = -j**3 - 4*j**2. What is d*t(z) - 11*b(z)?\nAnswer: -z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4 - 4*t**3 - 2*t**4 - 8 + 12*t**2 + 0*t**4 + 5*t - t.\nAnswer: -4*(t - 1)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 12 = 5. What is the remainder when (5\/(75\/108))\/(6\/40) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13314 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*z - 21 = 0, -5*m + 57 = -2*z + 6*z. Let c be ((-6)\/(-3) + -1)*(-2 + 2). Suppose c = m*o - 6*o. Let b(a) = -a**3 + 10. What is b(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -155230 divided by -77615\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 12:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 278798393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*f - 4*f**2 + 6*f - 15*f**2 + 2 - 2 + (0 + 2 - 4)*(-3*f**2 + 5*f**2 + 0*f**2) as y*f**2 + p*f + w and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/801, 3, 4\/3, 2, 1, 0, -3 in increasing order.\nAnswer: -3, 0, 11\/801, 1, 4\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 6 times -2.7\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 50002 or 710?\nAnswer: 50002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 6*h + 4*h - 1 = 0, -3*t - 27 = 4*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2045088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.2 + -43.569.\nAnswer: -32.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20460 and 39680.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 46884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 8*k - 9. Let q be l(-6). Calculate the greatest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.89 - -3.2. Let t = -1161 - -1156.31. Let k = t - y. What is the biggest value in 3, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000901 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of s**6\/360 - s**5\/120 - s**4\/12 - s**3\/6 - 3*s. Let b(p) be the second derivative of c(p). Factor b(i).\nAnswer: (i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9 - 39987*u**5 + u**2 - 7*u + 37259*u**5 - u + 2*u**4 wrt u?\nAnswer: -54560*u**3 + 24*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 79 + -71. Solve -2*q + 0*q = -a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 20*t**2 - 99*t - 3. Let v be l(5). Which is the third smallest value?  (a) v  (b) 3\/5  (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of 4*o**3\/3 - 4*o**2 - 31*o + 32. What is the units digit of k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 17 = 4*p, -1313*b + 1317*b = 5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 2*l - 5*l + 80, -l - 5 = 0. Is -94 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 + 13940\/16)\/(3\/4)?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -6*a + 3. Let t be b(5). Let u be (-1)\/(-3 - 82\/t). Let c = -4 - u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -324, 2 in descending order.\nAnswer: 2, -4, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*j = 3*i, -5*i - 4*j = 0. Let a = -1.9 + 2. What is the nearest to i in -3\/2, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**3 + 175*t**2 - 139*t - 135. Is z(83) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 + 299. What is the highest common divisor of r and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 15, a: 4}. What is prob of sequence aaak?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/5, 6\/13, -4.\nAnswer: -4, 2\/5, 6\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 0) + 12 + (-2 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26438 - 26449. Which is the nearest to 20?  (a) i  (b) -5  (c) 4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 + 96 = 6*b. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g + 0 + g + 3. Let v be d(0). Solve -2*o + 7 = -u - v, -o - 2*u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 12:25 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.4 + 3. Let m = f - -0.4. Let q = -4 + m. What is the smallest value in 5, -2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34772652 is divided by 51745.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/3 - 98*k**3\/3 - 2820*k**2.\nAnswer: 2*k**2*(k - 94)*(k + 45)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20546*o**2 + 20688*o**2 - 40916*o**2.\nAnswer: 318*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -69, -84, -109, -150, -213, -304, -429, -594?\n\"Answer: -a**3 + a**2 - 11*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 40. Let v(c) = 2*c**2 + 2*c - 4. Let h(s) be the third derivative of s**5\/15 + s**4\/8 - 7*s**3\/6 + s**2. Calculate f*v(r) - 3*h(r).\nAnswer: -2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 10*x. Let h be j(-9). Let d = 26 - h. Let s = -771 - -781. Calculate the remainder when d is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 11 - -9) + 10 + 9 + -68 + -5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 2:23 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 702250 less than 80725.8?\nAnswer: -621524.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1092  (b) -2\/5  (c) -2  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (24 + (-8 - 11) - 60) + -2 + 15\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-701)\/(-5) - (-4 + 48\/15). Suppose 171 = 4*o - w. Suppose -4*q = -o + 6. Calculate the remainder when 105 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1541 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - d1c9?\nAnswer: -d1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of 0*n - 22\/3*n**4 + 0 + 24*n**2 - 968\/3*n**3 - 1\/15*n**5. Find j such that k(j) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2079 + -639. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -136000, -272002, -408004, -544006?\n\"Answer: -136002*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**1*o)\/o)**(-30) assuming o is positive.\nAnswer: o**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -650.371 + 650. Which is the second biggest value?  (a) -5  (b) 1\/7  (c) 4  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*r + 8*r + 5*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.429462 + 0.4.\nAnswer: 0.829462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (160\/112 - (-1445)\/(-7))*(-34)\/(-85)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*u - 21, 2*u + 4*j = -2 - 12. Suppose y - 3 = -u. Let b(p) = 10*p - 57. Let c be b(6). Solve 5*m = 5*i - 20, y*m + 10 + 0 = c*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 4*q**2 + 2*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1514832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 22845, -3, 12 in ascending order.\nAnswer: -3, 12, 22845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)\/sqrt(16) - sqrt(4)\/(sqrt(6)\/sqrt(48))) + (1 + (2*sqrt(256) + sqrt(4))\/(5*sqrt(4)\/sqrt(2)))**2.\nAnswer: 24*sqrt(2)\/5 + 603\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 34, 118, 288, 574, 1006, 1614, 2428?\nAnswer: 3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pqq when three letters picked without replacement from qssqp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 307*u**3 - 120*u**3 + 4 - 83*u**3 - 97*u**3 + 2.\nAnswer: 7*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + -356?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(((-20)\/3)\/5). Solve -o*h = -h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of g**8\/672 + g**7\/280 - g**6\/240 - 3*g**2\/2 + 23*g. Let w(s) be the first derivative of a(s). Factor w(u).\nAnswer: u**3*(u + 2)*(2*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4989*r + 4970*r = -72618. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (35 + -24 + (-19 - 1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 615, 2, 1, 4 in decreasing order.\nAnswer: 615, 4, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 336 = 2*w + 4*w. Let u be 7\/(-3)*(-8)\/w*3. Put u, -5, 10, -3 in ascending order.\nAnswer: -5, -3, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 1. Suppose -15 = -k - t. Suppose 0 = 6*z - z - k. Is 3 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of n**6\/660 - n**5\/11 + 26*n**4\/33 - 3*n**2 - 156*n. Factor s(g).\nAnswer: 2*g*(g - 26)*(g - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + c**2 + 5. Let o be a(2). Solve -16 = 4*l + z, -5*z - o = -0*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 242760184 to the nearest integer?\nAnswer: 15581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 4 + 1)*(2 - 1 + 0) + 1 + 2 - 4 + (-4 - 1 + 6)*(60 + 137 + 35))*(2 - 2 - 2*b**4).\nAnswer: -464*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28028080 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1839171484, -1839171485, -1839171486, -1839171487, -1839171488, -1839171489?\n\"Answer: -q - 1839171483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the product of 0.154 and 579?\nAnswer: 89.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 2*z**2 - 2*z - 2. Let x be g(-2). Suppose -4*h - 67 = 3*a - 417, -x*a = -4*h - 220. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -14*i**2. Let w(s) = 39*s + 27. Let f(n) = -3*n - 2. Let m(c) = -27*f(c) - 2*w(c). Calculate m(u(l)).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 1\/6  (c) 0.215  (d) 7  (e) -19\/134  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g - 5*o + 65, 4*g + 266*o + 73 = 129*o + 128*o for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 26 = 3*t + 217, 242 = -3*t + 4*i. Is -83 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30038229.\nAnswer: 3, 13, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27496*k**3 + 7*k - 54987*k**3 + 27487*k**3.\nAnswer: -4*k**3 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*d**3 + 61*d**3 - 178*d**3 + 56*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 6:59 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1\/4))**48)**13)**47 assuming a is positive.\nAnswer: a**(-7332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-2)\/(-6)*(-5 + 10). Let p(f) be the third derivative of -5*f**2 + 0 + 0*f - k*f**3 + 1\/12*f**4. What is p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 + 11 + -1 + 57 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 2 + -5 + (-1 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 29 (base 11) to base 12\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -23*j - 9*j + 30*j**2 - 29*j**2 as c*j + v*j**2 + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 67567 - 2?\nAnswer: 67565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*z**4 + 2*z**4 - 15567*z**3 + 15562*z**3 + z**2 - 6*z**2 - 3*z + 2*z**4 + 1 to the form v*z + o + g*z**2 + x*z**3 + y*z**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 15. Solve 15*l**4 - l - 3*l**5 + 94*l**2 - 5*l - 27*l**3 - 73*l**n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -731664 = -175*c + 1182136. List the prime factors of c.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 18 - 2. Let n = 2 - 3. Suppose -g = g - 4. Sort g, p, n.\nAnswer: n, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42978653 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 309*u + 10. Let b(a) = -36309*a - 1176. Let c(p) = -5*b(p) - 588*r(p). Let g(o) = -6*o**2. Determine g(c(j)).\nAnswer: -129654*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 - ((-3 - -5 - -21 - 13) + -2 + -7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4532)\/2016 - (-20)\/(280\/6) and -37\/178.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zaernyezn. Give prob of sequence ee.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2042 (base 10) in base 15?\nAnswer: -912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 1:09 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 4*f - 6*o = -5*o + 146, 0 = 51*o + 102 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/2  (b) 4  (c) -19\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -298 in -4, 0.08, -3\/4, -2, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 103269 + -16006611\/155. Let p = 8\/31 + r. Which is the second smallest value?  (a) p  (b) 2\/7  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 4*o. Let r(i) = 92*i**2 + 15*i. Give -20*p(m) - 5*r(m).\nAnswer: -440*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x**2 - 11*x**2 - x**2)*(3 + 2 - 1) + 2 - 2*x**2 - 2.\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2 + p. Let t(o) = 13*o**2 - 6*o - 51. Calculate 6*c(d) + t(d).\nAnswer: d**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 6*p + 39 + 87 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27a95 (base 15) to base 8.\nAnswer: 370441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - n + 2*n)*((-4*n + n + 6*n)*(2 - 4 - 1) + 0 + 0 + 2*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 83249 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*k - 12. Put 5, -0.3, 2, k in increasing order.\nAnswer: k, -0.3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.9 + 4.1. Let i = 1.3 - 7.3. Let c = n + i. Are -1 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (10\/2 - -1016) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4206416.\nAnswer: 2, 262901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.05 + 4.95. Let w = u - 4. Let t = 0.7 - w. Round t to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4*t**2 + 49972*t - 38778632 = 0.\nAnswer: -13226, 733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 5*q. Let f(d) be the third derivative of -d**7\/840 - d**4\/6 + d**2. Let b(z) be the second derivative of f(z). Determine a(b(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14214003404 + -110?\nAnswer: -14214004014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22.6872 != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(7) + sqrt(112)*2 + sqrt(112))*-6.\nAnswer: 312*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 464016005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.1 - -2. Let l = 5 + -7. Let a = l - -1.6. What is the second biggest value in 0, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from cccccceecce.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -3220*b - 58. Let t(l) = -6440*l - 97. Determine 5*q(z) - 3*t(z).\nAnswer: 3220*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -21.1 * -0.517\nAnswer: 10.9087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.6 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -214.\nAnswer: -1\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 15, 1 in descending order.\nAnswer: 15, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -5*d**4\/24 - 18*d**2. Let z(h) = h**2. What is z(p(s))?\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-3) + (-656)\/(-6). Let i be (-68)\/x + 10\/(-55). Suppose v = 2*h - 0*v + 2, 0 = -5*h + v - 2. Which is the closest to h?  (a) 3  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-6*(-1 + sqrt(98) - sqrt(20)\/(sqrt(10) + sqrt(30)\/sqrt(3))) - (-1 + sqrt(8) + sqrt(2) + -1*(1 + sqrt(2)))*6))**2.\nAnswer: -1530*sqrt(2) + 5427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 360900 and 128720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**5 + 36033*s**3 - 122*s**2 - 106 wrt s?\nAnswer: 60*s**2 + 216198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -16. Let a be u\/((-1 - -2)*-1). Factor 0*n**2 + 0*n**4 + a*n + 0 + 2\/5*n**3 - 2\/5*n**5.\nAnswer: -2*n**3*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 8\/(-24)*12. Solve j = -u + 3*u - k + 3, 4*u = -3*k - 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1932 + 2015. Solve j = 45*l - 97 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59 + 60. Solve x = -m + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.33 * 1.8.\nAnswer: -0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(117\/(-27)) - 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 124 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - 1101?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -9, 57, -6, 3\/4 in ascending order.\nAnswer: -9, -6, 3\/4, 2, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, p: 9}. Give prob of picking 4 p.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 250*z**2 - 6*z + 15. Let s be b(-4). Suppose 3*q = -x - 4*x + 6700, 3*x - s = 2*q. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -58.199 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 62321473 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of c**5\/60 + c**4\/12 - 2*c**3\/3 + 3024*c**2. Suppose 0 = 2*s + 2*k + 16, -5*k - 1 = -3*s + 7. Calculate r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1570 or 1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36 - 34. Let l = -5.8 + 6. What is the third biggest value in 22, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 2:26 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2322617 is divided by 331802.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*f = -801 + 827 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1151*l**2 - 42174*l**5 - 152*l**6 + 42174*l**5 wrt l?\nAnswer: -18240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -5*h - 10. Suppose -1036 = o - h*o. Let d(j) = -o + 259 - 5*j. Let i(l) = 4*l**2. Determine d(i(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.001094  (b) 0.1  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = -4*s - 7*c + 21 + 36, 2*s - 4 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.1, 17, -3, 214?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4173, 3480, 2789, 2100?\n\"Answer: x**2 - 696*x + 4868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1030\/3 - -178. Let v = 5939\/36 + o. Calculate the common denominator of v and 28\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 + -0.44. Let x = 0.01 + 0.03. Let q = x - -0.46. What is the nearest to 1 in t, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3379692?\nAnswer: 2, 3, 281641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 1\/30*o**6 + 0*o + 0*o**4 + 0 + 1\/6*o**3 - 2*o**2 + 0*o**5. Differentiate j(c) wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -0.2. Let u = 40834\/99 + -6608\/33. Let x = u + -212. Which is the biggest value?  (a) 1  (b) n  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*1612181.\nAnswer: 161218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -j - 0*z + 4, 4*j - 16 = -z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2064 by 688.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/5  (b) 0.4  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.75734kg in grams?\nAnswer: 83757.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -433*i - 47*i + i**2 - 468*i in the form m*i + h + q*i**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1605329?\nAnswer: 11, 19, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -653 divided by 1?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 280924 by 889.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 6*o**2 + 31*o - 229. What is n(5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, 26, 0, 1 in descending order.\nAnswer: 51, 26, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2107282.8 months?\nAnswer: 17560.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -116, -242, -412, -626, -884, -1186, -1532?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 + -66. Let d = m - -13. Suppose 5*n = -2 - 3. Which is the second smallest value?  (a) d  (b) 5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7147, 5, -1 in increasing order.\nAnswer: -7147, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 2*c + 17 = 0, 3*g + 4*c - 36 = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*u + 68*u + 52 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-10))\/(12\/(-9360)*6). What is the greatest common factor of f and 10842?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -349*v**2 + 997?\nAnswer: -698*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23542\/57 + 413. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154, 164, 176, 190, 206?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of a**5\/30 + 5*a**4\/24 - a**3\/3 - 8*a**2. What is the tens digit of r(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 10*i - 113. Determine r(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -871*n + 1846*n = 859*n - 2436 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/48 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o + 92. What are the prime factors of f(0)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -548*h + 546*h - 20, h = 4*m - 22 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m - 3. Let b = -8 + 8. Let f be y(b). Is (-113)\/f - 18\/27 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 5*b**2 + 9*b + 2. Determine i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2664)\/(-1554)*21\/20?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 139610 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 10 = -2*b, 3*o - 41 + 17 = -4*b. Suppose -5*l + 2 = -2*r, 2*r + 3 = o*l - r. Calculate the lowest common multiple of -3 - (l + (-8 - -1)) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 32094, 0.5, -2?\nAnswer: 32094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 14*q**2 - 32*q - 2. Let f be z(16). Let h be (18\/12)\/(33\/12 + f). Let j(i) = i**2 - 2*i + 1. Let m be j(1). Solve h*d = -m*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 213001100 (base 5) to base 13\nAnswer: 259741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -497*x**2 + 502?\nAnswer: -994*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 14) in base 16?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 3*b + 16. Let k be 4 - -186*(-10)\/b. Suppose -5*z + k = -52. Calculate the greatest common divisor of z and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/2 - 1348176*l - 908789263488.\nAnswer: -(l + 1348176)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2 = l. Let v = 3 + -6. Is 626 + v\/l - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 - 3987840*g - 7975664.\nAnswer: -4*(g + 2)*(g + 996958)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 91 in 0.1, 0.09, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a*l**3*p**2*t + 3*a*l**3*p - 19*a*l**3 - 5*a*l**2*p*t + 2*a*l*p*t + 5*a*t - 2*l*p**2*t wrt l?\nAnswer: -6*a*p**2*t + 18*a*p - 114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 0*c**2 + 9*c**2 - 6*c - 7 - c - c**3. Let k be r(8). What is the smallest common multiple of (-1)\/(2*k\/(-6)) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 213.\nAnswer: -19\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 41 - 11. Suppose 4*m - l = 349, 4*m - 247 - 77 = -4*l. Let z(b) = m*b - 3 - 90*b + 10 - b**2. Give z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 9. Suppose 2*j + 1 = d. Let l(c) = -c**3 + 22*c**2 + 2*c - 37. What is the least common multiple of l(22) and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 12:56 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -90*b**2 - 16*b + 547. Let d(n) = -91*n**2 - 12*n + 548. Let a(c) = 4*d(c) - 3*m(c). Differentiate a(j) wrt j.\nAnswer: -188*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/8)\/((-10)\/(-40)) + -19 + 22. What is the greatest common divisor of t and 418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -3*f**2 - 194628*f + 389268 = 0.\nAnswer: -64878, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -4*w - 5 - 3, 5*q + 5 = -4*w. Let p = 7 + w. Suppose 4 = p*i - 78. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of g**7\/2520 - g**6\/180 - g**5\/20 + g**4\/12 + 2*g. Let h(o) be the third derivative of y(o). Is 3 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 265.49 + -205080110.\nAnswer: -205079844.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 12*i**2 + 15*i - 23. Suppose -2*g - j = 4*j - 1, -5*g - 2*j = -34. Calculate the remainder when y(11) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 856 + 5*n**2 - 3908*n + 194 + 3763*n.\nAnswer: 5*(n - 15)*(n - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13285 + 13378 = 37*v + 26515 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b - b + 1 - 2 - 1 + b + 1 + (0 + 0 + 1)*(-3*b + 7*b - 2*b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -298*s**3 + 2*s + 1. Suppose 3*o - 5*v = 27 - 30, -v + 2 = -2*o. Let d be c(o). Calculate the greatest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 + 10 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -711*(-3)\/12*1. Let u = -176 + n. Suppose 1\/2*f**2 + 0*f + u*f**3 + 0 + 3\/2*f**4 = 0. Calculate f.\nAnswer: -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 2*j + 1. Let u(t) = t**2 - 4*t + 2. Let r(z) = -2*c(z) + u(z). Let h(n) = -50*n. Calculate h(r(g)).\nAnswer: -150*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-14))\/((((-1360)\/672)\/17)\/1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6091187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 14*n**2 - 13*n + 6. Let o(c) = -2*c + 40. Let x be o(-8). Suppose -25*q + x = -269. Give k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/3545 and -16\/44667?\nAnswer: 223335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 3:46 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w - 19*w = 4*o - 68, -3*o = -w - 47. Suppose -69*v = -65*v - o. Solve g - v*u - 1 = 7, -2*g + 7 = -5*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by -125360.\nAnswer: 1\/6268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -27*g. Let d(i) = -12*i + 6*i - 11*i + 23*i**2. Let w(u) = 4*u**2 - 3*u. Let z = -420 + 426. Let m(j) = z*d(j) - 34*w(j). Give y(m(b)).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22369 - -22369.4. Which is the biggest value?  (a) -18\/11  (b) 0.02  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u + 2. Let o(i) be the third derivative of 0 + 1\/6*i**3 - i**2 + 0*i. Calculate -l(v) + 3*o(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.48069415943563 and 0.4?\nAnswer: 0.08069415943563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**2 - 895828*h\/7 - 255952\/7 = 0?\nAnswer: -2\/7, 63988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 9:51 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 25, -4\/25, 2\/9 in ascending order.\nAnswer: -4\/25, 0, 2\/9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3715 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ew when two letters picked without replacement from weqeqewwqqeeeeee?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 4*r - 5*y + 4, -2*y = 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24\/5 - 23\/10. What is the biggest value in -1, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mzb when three letters picked without replacement from {l: 1, b: 2, f: 1, m: 1, k: 2, z: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 464 and 13253.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(180) - ((-1*sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180))*-5)**2 - (3 + (-4 + sqrt(180))**2)).\nAnswer: -54597 + 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 85*d - 10. Let s be u(10). Suppose -s = 11*a - 5*a. Let k = a - -345. Is k 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 9353381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 42*j**2 + 82*j - 71. Let d be w(40). What is the fourth biggest value in -1, 4, d, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(2736) + 5*(2 + sqrt(2736))**2)*3 + -2.\nAnswer: 1512*sqrt(19) + 82198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.367490683 to four dps.\nAnswer: -0.3675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1385936860 a multiple of 9266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 12:31 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {d: 2, p: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 15 = 3*u, 10010*s = 10008*s + 5*u - 31 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(630\/(-20)))\/(7\/(-63)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 6*h - 11. Let f be d(-8). Suppose -l + 6*r - 2*r + 54 = 0, -f = r. What is the remainder when 250\/3*(-12)\/(-10) is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -12231?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 6*g)*(185 - 185 + 18*g)*(6 + 1 - 1).\nAnswer: -648*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -494 - -458 - (-57 + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14.8066 + -14.09. What is v rounded to 2 dps?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 5 - (-29 - -20)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8243*l - 8169*l = -1184 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-2\/9))**(1\/52)*(k**(-2\/7)*k)**(-3\/2) assuming k is positive.\nAnswer: k**(-3433\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -h**6\/120 - 13*h**5\/60 - 23*h**4\/24 - 2*h**3 - 2*h**2 + 3*h - 8. Give p(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -4*s + 1900, -4 = 5*s + 21. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -698*m + 5800 + 5061 = 26023 + 26718 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gxfy when four letters picked without replacement from eefglfllgyxe.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) + 413\/(-21) - -5. Let u be (l\/(-2))\/((-23)\/(-276)). Calculate the highest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 356*l**4 + 0*l**3 - 22*l - 360*l**4 - 2*l**3 wrt l?\nAnswer: -48*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 + 6*c**2 + 4*c - 2. Calculate m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**6\/30 - w**5\/20 + w**4\/3 + 2*w**3\/3 - 22*w. Let o(h) = 0. Calculate h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 15 = -4*b - 3*d, 3*b - 5 = 2*d. Let k(f) be the third derivative of 1\/10*f**b + 0*f + 0 + 3*f**2 - 1\/6*f**4 + 0*f**3 - 1\/60*f**6. Factor k(h).\nAnswer: -2*h*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*n**2\/5 + 5331*n\/5 + 1776\/5.\nAnswer: 3*(n + 592)*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 5:09 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3 + 0*b**3 + 3*b**2 + b + 5*b**3 + 0*b**2. Let v(i) = 14*i**3 + 8*i**2 + 2*i + 8. Let p(d) = -3*v(d) + 8*x(d). Let p(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 31*j**3 + 3*j. Suppose -w - 6 = 3*h, -43*w = -45*w - 2*h - 8. Let g(s) = -340*s**3 - 34*s. Give w*g(f) - 34*d(f).\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-140)\/(-60) - 4\/2. Let w(m) be the second derivative of -2*m + 0 + 0*m**2 + b*m**3. Let k(c) = -4*c**2. Calculate k(w(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 68*u + 144*u - 2*u**2 - 75*u in the form w*u**2 + p*u + h and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -10101011000111001000001 (base 2) to base 12\nAnswer: -1a64941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 128513*k - 126225*k + 254748*k.\nAnswer: 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**2 + 2*b**2 + 2*b**2)*((2*b - 5*b + 4*b)*(b - b + b) + 0*b**2 + 2*b**2 - b**2).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bobbonoobbbbb. Give prob of sequence oo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 17*a**2 + 10*a - 11. Is j(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12328176\/5 + 406618393\/165. Let v = t - -7669\/6. Calculate the common denominator of v and 15\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 638 greater than or equal to 639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from qjcqdqcdjq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 189 divided by 3\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.01 + -2.01. Let o = 1.6 + t. Let h be (-3)\/2*(-2)\/(-12). Which is the nearest to -0.1?  (a) h  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(18\/11)*f*f)**39\/(f\/(f\/f**13))**(6\/19))**(-5\/7) assuming f is positive.\nAnswer: f**(-143910\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.13, 0.1, 57, 4, 9, -4\/7.\nAnswer: -4\/7, -0.13, 0.1, 4, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(3 + -2 + -5). Suppose 2*b = -b - 2*l + 4, m*l = -b - 2. Find the second derivative of 5*c + 6*c**b - 15*c**2 + 13*c**2 wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from yclplcn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/8 and (-567)\/280*(0 + -1 + 3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1216549 micrometers to centimeters.\nAnswer: 0.00001216549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -239*c**2 + 2894986*c - 2894986*c + 1026*c**5 wrt c?\nAnswer: 61560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31647239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1573) + 1 + sqrt(1573))*5 - sqrt(1573)) + (-2 + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + sqrt(1573) + -2)))**2)*-4.\nAnswer: -396*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 17*n**3 - 275*n**2 + 76*n + 182. Let d(t) = -120*t**3 + 1925*t**2 - 530*t - 1275. Let c(i) = -2*d(i) - 15*k(i). Determine s, given that c(s) = 0.\nAnswer: -2\/3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/1020 and -23\/14540202.\nAnswer: 145402020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -6*d - 6*d + 24 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rvmk when four letters picked without replacement from bkmvrbvkmmkkvbz?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 180153854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - 2) + (-85)\/(-15). What is the biggest value in d, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)*m)**(-10\/3))**(-15\/7) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 43226956 times -2\nAnswer: -86453912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*v**2 + 7*v**2 - 147*v**3 - 1 + 3399*v - 1 - 3399*v in the form o + w*v + q*v**3 + p*v**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11224*i**4*t**2 + 63*i**2*t**2 - 5*i**2*t - 5*i**2 wrt i.\nAnswer: 269376*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*h - 174*h + 3*h.\nAnswer: -138*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 10:42 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -219, -225, -233, -243, -255, -269, -285?\n\"Answer: -t**2 - 3*t - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 30. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**4\/4 - 6*i**3 - 33*i**2\/2 - 16*i - 21\/4 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 2*i - 15. Let a be (-10 - 2)\/(-3) + 1. Put 2, i, a in descending order.\nAnswer: a, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 230 - 335. Let w = t - -120. Let n be 18\/w - (-2)\/(-10). Let m(g) = 4*g - 3. Let d(k) = k - 1. Calculate n*m(o) - 6*d(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 20*r + 158. Let c be y(6). Determine o so that -4\/3*o**c - 8\/3 + 4*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by 492645\nAnswer: -11\/492645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -10000 (base 2) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 2\/3  (c) 2  (d) 0.0366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - x - 4*o + 35 = 2*x, 0 = x + 7*x + 4*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of -8*b**3\/3 - 3. Let i(c) = -4*c + 1. Let z(p) = -17*p + 4. Let o(r) = -4*i(r) + z(r). Determine o(s(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*r - t, 0 = 2*r - 5*t + 6 - 3. Let y = -2 - r. What is the third derivative of -y*h**5 - 2*h**2 - 5*h**2 + 5*h**2 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3337*l**2*x**2 - l**2 + 4*l*x + 17471470*l + 121*x**3 wrt x?\nAnswer: -6674*l**2*x + 4*l + 363*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((3 - -2) + (1 - 1 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 1129*o**2 - 39542*o + 31. Calculate f(-34).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -6*u - 4. Let v be 48 + (1\/(-1) - u). Suppose 22 = -3*s + 58. What is the greatest common divisor of s and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.19 + 0.09. Sort k, -0.08, 0.5 in descending order.\nAnswer: 0.5, -0.08, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -440, -3478, -11698, -27692, -54052?\n\"Answer: -432*w**3 + w**2 - 17*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12240 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -20094000 to the nearest one hundred thousand.\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vaw when three letters picked without replacement from bqvbwevqbaeqava?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 64 - 36. Suppose w = -3*w + r + d, r = 3*w - 15. Solve 0 = -0*t - t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f**5 - 334*f**4 - 821*f**3 + 1606*f**2 + 3396*f - 1080 = 0 for f.\nAnswer: -45, -3, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand q + 6 - 6 - q + 3*q + 0*q + (-4 + 4 + 1)*(0*q + 0*q + 2*q) + 2*q + 3*q - 4*q + 6*q - q - 4*q - q + 0*q + 2*q + 2 - 2 + q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**3\/6 - p**2. Let w(c) be the second derivative of c**3\/3 - 5*c**2 - 7*c. Let j(x) = -10*f(x) - w(x). Calculate j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + ((sqrt(132) - sqrt(132)*1*-1)\/(sqrt(12) - (sqrt(96)\/sqrt(2) + sqrt(12))))**2 + -5 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 18, -4615, 15 in descending order.\nAnswer: 26, 18, 15, -4615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -21. Factor -5*d - 3*d**2 - l*d + 2*d.\nAnswer: -3*d*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-3 + 8)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 8:38 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooococo. What is prob of sequence co?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27295933 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -9*m + 52. Let c be n(6). Let u be 1620816\/66 - c\/11. Suppose -q = 4*k - u, 0 = -3*q - 1 + 7. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1395627991 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 27941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-11*28\/7084)\/((-5)\/115)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*u - 44*u = -34*u. Let n(p) be the second derivative of -3\/140*p**5 + u + 9\/7*p**2 + 1\/7*p**4 + 29*p + 11\/14*p**3. Factor n(g).\nAnswer: -3*(g - 6)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(264))\/sqrt(11))\/(-2*sqrt(200))*-3.\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -93*j + 106. Let m be n(1). Solve -25 + 38 = m*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrwrwrrrwrrw. What is prob of sequence rww?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 - 5*t - 4. Let r be a(-1). Let s(n) = -57*n**2 + 2*n. Let i be s(1). Let d be (4\/10)\/(693\/i). Is d at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -5*j - 29, 0*a + 37 = 3*a - 5*j. Suppose 0 = -5*t + a*t + 57. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -279137*m**3*z - 8*m*z + 650981*z + 2 wrt m.\nAnswer: -837411*m**2*z - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 52569, -0.42, -41?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2548, -2549, -2550, -2551?\n\"Answer: -d - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -28*g + 30*g. Let c be 1\/((-2)\/g) - -66. Let j be (-1001)\/(-99) - 2\/18. What is the highest common divisor of j and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.047?  (a) 1\/3  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 13) + 3 - (-92 - -90)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -0.02, 0, -2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1304\/11, 26.58, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from {a: 1, e: 9, c: 10}?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 280\/49 + 129\/84.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 866423*a**3*p*z**2 - 252*a**2*p*z**2 + 15*a**2 - 4*p*z**2 - 2*z**2 wrt a?\nAnswer: 5198538*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9577 + -6349. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/1*(26 + -26) + 0. Put -0.08, -4, -3, o in ascending order.\nAnswer: -4, -3, -0.08, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235*j**3 + 293*j**3 + 723*j**3.\nAnswer: 1251*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/38 - (-36316)\/133. Calculate the greatest common divisor of 329 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 81*r**2. Let t(b) = 2*b. Let s(p) = -p**2 + 2*p. Let j(w) = 5*s(w) - 5*t(w). What is q(j(i))?\nAnswer: 2025*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -118875.45567 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 8\/409, 0.5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24903336 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -919 + 936. What is the remainder when 319 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4 + 3 = 0. Let z = o - -8. Put z, -1, 5 in decreasing order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -343 + 191. Suppose 5*z = -3*s - 1134, -5*z + 400 - 1522 = -s. Let j = u - z. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 436822.\nAnswer: 2, 37, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*(y\/(y\/(y*y**5\/y*y)))\/y*(y*(y*y**(-2\/5)*y)\/y)\/y*y)**(-2\/7))**0)**(-3) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/589092 and -58\/63?\nAnswer: 1767276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1076 * 250.457\nAnswer: -269491.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (60\/(-36))\/((35\/(-378))\/(-1)). Let s(u) = -17*u - 318. What is s(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 110785 and 3115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1806?  (a) 449  (b) -1\/3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32524585 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 2664?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 5. Let v = z - -6. Let p be -5*(4 - v)*-1. Calculate the greatest common factor of p and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-3 + (sqrt(153) + 0)**2) + -4.\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*z - 2751 - 441. Suppose -d = -4*o - z, -2*o - 2*o = -3*d + 375. What is the remainder when d is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((-6 - -11) + (7 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 746933 - 11*x**2 - 9*x**2 - 746901 in the form m + u*x**2 + o*x and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 156994170 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1\/10)\/n*n\/(n**(-5)*n))\/(n*n*(n**(-2\/7)\/n)\/n*n**(1\/5)) assuming n is positive.\nAnswer: n**(349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 437 and 5288137.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(4\/5))*s*s*s*s*s)\/s**14 assuming s is positive.\nAnswer: s**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21565 and 5653355.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100398, -200788, -301178, -401568, -501958?\nAnswer: -602348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5 = -2*n + 2*z, -n + 2 = -2*z. Suppose n*b - 3*x - 23 = 0, -3*b + 4*x + 13 = -13. Let -2*p**2 - p**2 + 4*p**2 + 0*p**b = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 7 + 3 = r, 2*r - 2*x = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, -96\/5, -2\/21 in decreasing order.\nAnswer: 4, -2\/21, -4, -96\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 704572.6 centimeters to kilometers.\nAnswer: 7.045726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3892, -3848, -3828, -3832, -3860?\n\"Answer: -12*i**2 + 80*i - 3960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3 = -4*v. Let f be v + -2*3\/2. Suppose -3*p + f + 36 = 0. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 580.6, 59.4, 5?\nAnswer: 580.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22211210 (base 3) in base 9?\nAnswer: 8753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (19 - 11)) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4011 + 2390. Does 37 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 1:58 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/8032 or -1?\nAnswer: -7\/8032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d + 6. Let v be q(-6). Let f(a) = a**2 + 0*a**2 + 1 - 4*a + v*a**2. Let g be f(-5). Calculate the highest common divisor of 69 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-10)\/2)*5\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28ab (base 12) in base 9?\nAnswer: 6445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-9)*(207\/184 - (-2 - -2)). Which is the closest to 2?  (a) 3\/8  (b) -104  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*z - 51 = 0. Suppose 20*b - z*b = 819. Let u = -127 + b. What are the prime factors of u?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2. Let h(s) be the second derivative of 95*s**4\/4 + s**3\/6 - 1766*s. Calculate h(g(o)).\nAnswer: 1140*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2235 - 2257) + 2 + -35.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45091556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-63)\/(-9))\/35*9\/(-3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 966, 946, 946, 978, 1054, 1186, 1386?\n\"Answer: 2*t**3 - 2*t**2 - 28*t + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 7*m**2 + 5*m - 3. Let o be v(-5). Let x be (33\/o)\/((-3)\/(-10)). Let y(k) = x - 4 - 1 - 5*k. Let j(b) = -5*b**2. Determine j(y(q)).\nAnswer: -125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -x**5\/60 + x**4\/4 - 2*x**3\/3 - 250*x**2. Let n be j(7). What is the second biggest value in 4, n, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1442719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 264705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 8*v + 2. Suppose -4*s = -0*s - 20. Suppose 4*j - 5 = s*l + 2, 55 = 5*j + 3*l. Determine p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 39.33?\nAnswer: -39.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 21 = -9. Suppose -c = -5*m - 5. Let x(a) = -5*a**3 + 5*a**2 + a + 10. Let l(d) = -4*d**3 + 5*d**2 + 8. Let n(y) = 4*l(y) - 3*x(y). Give n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 270509 + 253950. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 12*k + 2783 = -11*k, 0 = -2*z - 9*k + 2823. Calculate the remainder when z is divided by 461.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5085651 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -434 (base 12) in base 10?\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 134*l**2 + 3*l - 1. Let i be 39\/13*1\/3. What are the prime factors of w(i)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 127 + -144.9. Let a = 18 + z. Let c = -57 + 284\/5. What is the third smallest value in a, c, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*m**2 + m**4 + m**4 + 76*m**2 - m**3 + 8*m to the form g*m**3 + z*m + s + a*m**2 + y*m**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2082*k + 71*k**3 - 2082*k)*(-1 - 1 + 1)*(-2 - 2*k + 2).\nAnswer: 142*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 15*x**3 - 2*x - 1. Let c be j(-1). List the prime factors of (-141)\/(-21) - 4\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*p**2 + 4*p**2 + p**2)*(2 + 0 - 1)*(-1 + p + 1).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4 + 0*m + 3 - 2*m. Let k be s(-3). Suppose -8 = -g + 3*x, -k*g - 21 + 7 = 3*x. Sort -3, g, -5.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-120 + 233 + 316*v - 117)*(3 + v - 3 + (-v - v + v)*(1 + 0 + 1)) to the form n*v + g*v**2 + c and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 8996433080 to the nearest 1000000.\nAnswer: 8996000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 962?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -f - 2*t, 3*f - t - 2*t = 123. Solve -30 + 2*i**2 - 30 + f + 16*i = 0 for i.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/5313 and 5\/9746066?\nAnswer: 204667386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29684215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqgqqggqqg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -3347, 0, 5, 9 in descending order.\nAnswer: 9, 5, 0, -6, -3347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n**3 + 3045 + 7*n**2 + 2*n**2 - 3043 - 8*n**2 + 747*n in the form s + z*n**3 + t*n + c*n**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -677 (base 9) in base 2?\nAnswer: -1000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 66 = -b. Is (-8210)\/(-22) - (-12)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 4*z + 54 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 t, and 1 z when three letters picked without replacement from uuutyuzyf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 56*w**2 - 460*w + 25. Calculate h(-7).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 3*k - 6, 0 = -2*x - 3640*k + 3636*k + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w*w**1))\/w**(-7))**(-16) assuming w is positive.\nAnswer: w**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -16. Let h = -290 + 290.2. Which is the nearest to h?  (a) 6  (b) 1\/7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(2*8\/(-12)). Suppose -5*w + 3*g = -28, a*w - g - 4*g - 20 = 0. Suppose 4*k = -12, -n - 2*n - w*k + 66 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.7 + -0.3. Let n = -10.32 - i. Let r = n - -0.31. Is r smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3439414?\nAnswer: 2, 11, 127, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + y**2 + (-y + y + 2*y)*(8*y + 0*y - y))*(5*y + 0*y - 4*y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2775714 and 610?\nAnswer: 846592770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12397 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79 - 61. Let u(c) = -c**2 + 29*c - 72. What is the hundreds digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/10 - (-22)\/4 - (-1268)\/(-317)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -k - 36, 4*k + 2 + 12 = 2*h. Let s = 309 + -166. What is the highest common factor of s and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 + -21. What is the remainder when 30 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40974977?\nAnswer: 89, 460393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) + sqrt(112)\/sqrt(4)*-6 + -4*sqrt(252))\/(-5*(sqrt(100) + 2*sqrt(100)) - sqrt(100)))**2.\nAnswer: 2023\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.2038442 rounded to two dps?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnnmsnmmmhnmm. What is prob of sequence nhs?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-45)\/(-10))\/(1\/6) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 9:26 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20\/(-6)*12\/(-10). Suppose -2*r = 4*q + 5 - 3, -4*q - 20 = -g*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 10*u**2 + 11*u + 13. What is s(9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3\/7  (b) 6  (c) -0.2  (d) -1.91  (e) -1  (f) 3.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.7949 + 4.55809. Round c to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 3*z + 3. Let f be x(-3). Let k = f + -3. Let h = 26 + k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -513.043\nAnswer: 514.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10631, -38405, -84701, -149525, -232883, -334781, -455225, -594221?\nAnswer: -751775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.06 + 6.405. Let y = -0.645 + w. What is the nearest to -2 in 2, y, 0, 1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4378, 8768, 13146, 17506, 21842, 26148, 30418, 34646?\n\"Answer: -x**3 + 4397*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3811\/8 - 475. Find the common denominator of 33\/528 - 5\/2 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 39314 = -64222. Let m = o - 7361. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 2*b + 19 = 0, 619*b - 37 = 5*u + 623*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.07606 - -0.57606. Which is the biggest value?  (a) -16  (b) 3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 2*l - 3. Let w be h(1). Let y = w - -8. What is the greatest common divisor of 64 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (3 - 28) + (1 - 0) + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, p: 6}. What is prob of picking 1 p and 1 k?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a factor of 54201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13197)\/(-1007) - (4\/(-7))\/(874\/(-161)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 6 = t, 3*x = -0*t + t - 18. What is the remainder when 8 is divided by (-1 + 2)*(-4 - x) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1422*u**2 + 8*u + 30688.\nAnswer: -2844*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 5:48 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5801483 minus -0.9?\nAnswer: -1.6801483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -804960 divided by -86.\nAnswer: 9360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - ((-6310720)\/(-2964))\/(-82).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(44\/42 + 6 + -7). Suppose 8*q - 4*q = -4. Is d < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 811*t = 940*t - 1466 - 340 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 66\/4 + 11\/(-22). Determine t so that 104*t**3 - 1 + n*t - 52*t**4 - 67*t**4 + 100*t**2 + 139*t**4 + 1 = 0.\nAnswer: -4, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 2 + (84 - 71).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u - 2. Let a be i(-11). Let h(y) = 3*y + 3. List the prime factors of h(a).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.19 - -11.19. Let n = -0.7 + 0.71. Sort n, -1, 3\/4, h.\nAnswer: -1, n, 3\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 6*t**3 + t**2 + 15*t + 1. Let y(c) = -2*c**3 - c. Determine g(f) + 2*y(f).\nAnswer: 2*f**3 + f**2 + 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410654275?\nAnswer: 5, 47, 349493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b + 0*b - 3 + 3. Let a(t) = 3*t + 2*t - 3*t. Give d(a(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100111111011010010101 (base 2) to base 10.\nAnswer: -1308309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 114\/22 - (7 + 525\/(-77)). Let k be i\/80*8 + (-13)\/10. Let n = -3.1 + 3. Is k greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = -2*l, -3*l + 2*i = -2 + 10. Suppose l = 4*o + 181 - 205. What is the highest common factor of 15 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 213411856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.5 - -8. Let s = -24.8 + 25. Let r = 2\/139 - -264\/973. Which is the biggest value?  (a) r  (b) s  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -301*g**2 + 3*g - 1. Let c be q(2). Let r = -15965 - -287495\/18. Calculate the common denominator of (-2)\/7 - c\/(-924) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 3)*-9 - -2. Let c(n) = n**2 + 5*n - 7. Let u be c(l). Let b(y) = -y**3 + 9*y**2 - 8*y - 7. Is b(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 663, 0, 2, -10 in increasing order.\nAnswer: -10, 0, 2, 5, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (-5 - 4 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence asw when three letters picked without replacement from {w: 1, i: 1, l: 1, a: 2, k: 2, s: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9009 + -0.9. Round u to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bwwbmbowbvmbmbbbmwb. Give prob of sequence mvow.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d - 20. Let b be t(-20). Suppose b = -4*k + 4 + 4. Suppose -47700000 = p + k*p. Round p to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus 813134185691?\nAnswer: 813134185687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 + -3 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40347 and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*b + 19*b = -12. Solve 5*r - 3*s = 22, r - b*s - 20 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23647 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*u + 8 = 0, 5*s - 3*u + 1 = 5. Suppose 2*v - 222 = s*i, 3*v - 5*i + 58 = 401. Does 41 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38833, 39665, 41045, 42973, 45449, 48473?\nAnswer: 52045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*p*q**3 + 2*p*q**2 - 123*q**3 - 6*q**2 wrt p?\nAnswer: -15*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**3*g**10)**(-43)*(g\/g**2)**(-23)*(g**(-1\/10)*g)\/g**(-9) assuming g is positive.\nAnswer: g**(-5261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -226*y - 205. Let n be (2 - 1)\/((2 + -8)\/36). What is the hundreds digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -3*m**5\/20 - 5*m**2. Let i(w) = -w. Let b(d) = 3*d. Let f(k) = -2*b(k) - 5*i(k). Determine o(f(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 - (6 + -7 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4*t**2 - 19*t + 299. Let c(m) = m**2 + 5*m - 75. Let d(l) = 9*c(l) + 2*h(l). Let v be d(6). What is the nearest to v in -0.2, 2.9, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 5*t**2 - 2*t - 1. Suppose 0 = -4*n + 3*j - 5*j + 14, 20 = -5*n + 5*j. Suppose 3*u + 16 = v + n, 2*u + 10 = 3*v. Calculate c(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59991 is divided by 451.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 4. Let r be j(3). Suppose o + 4 + 9 = 5*f, -17 = -3*f - 4*o. Find q, given that -49\/4*q**r + 0*q + 6*q**f - q**2 - 21\/4*q**4 + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 12*c - 8*c - 33 + 17 = 0, 3*r + 3*c = 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/2 + (-7)\/(-2). Let q be (11\/(-2))\/(c\/(-24)). Suppose -x = 5*n - 12, -2*x - 5*n = 2*x - q. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0*u**3)\/(u*u**(-3\/5)*u*u*u**3))**16 assuming u is positive.\nAnswer: u**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in micrograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6, 23, 44, 69, 98, 131, 168?\n\"Answer: 2*w**2 + 11*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 31 + 24*d - 37 - 22*d**2 - d**3 + 34 + 29. Determine y(-23).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4066417 * 0.22.\nAnswer: 894611.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -188, -5, -324 in descending order.\nAnswer: -5, -188, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 38 = -z. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -9\/5 - 1\/5*f**4 + 24\/5*f - 22\/5*f**2 + 8\/5*f**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55244053 (base 6) in base 4?\nAnswer: -12103331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4950 a factor of 5122393650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - b + 1. Let r be a(4). Let o(h) = h**3 - 10*h**2 - 23*h - 27. Let g be o(r). Suppose -186*v + 15 = -g*v. Solve 0 = 4*t - t + v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 413 - 404.96. Let v = 8.039646 - n. What is v rounded to 5 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1164837, -2329663, -3494481, -4659291, -5824093, -6988887?\n\"Answer: 4*y**2 - 1164838*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from godggourgrdrodoggo?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -1\/2  (c) 1429395\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 228 - 186. Let v be 2*(-2)\/(-4)*-9. Let s = v + j. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 39 + 9. Suppose -23*v - 8 = -27*v. Let d(m) = -54 - 3*m**2 + m**3 + 25 + 9*m**v + 22 - m. What is d(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3474 a factor of 260078974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7781468?\nAnswer: 2, 107, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 135727222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*c)*(-5*c - 83*c + 48*c)*(-2*c - 9 + 9).\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 + 100000001110011001111001010?\nAnswer: 100000001110011001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2151 = 324. Find the common denominator of 95\/4 and (71\/2)\/((-5)\/(35\/y)).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2354 = t, 2*j = -31 + 33. What is the greatest common divisor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of -j**5\/130 - 401*j**4\/13 - 482403*j**3\/13 + 9454*j. Factor f(p).\nAnswer: -2*p*(p + 1203)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 5  (b) -0.4  (c) -0.173\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 328*o = 291*o. Let p(r) be the third derivative of 1\/8*r**4 + 0*r + o + 7*r**2 + 2\/3*r**3. Determine p(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25349347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4845010634007884207\/214230 + 22615929766903. Let q = 105607\/579 + t. Let f = q + 7\/555. What is the common denominator of f and 10\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -60 - 3*r**2 + 369 + 396*r + 3 + 492.\nAnswer: -3*(r - 134)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.016 in -1, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -11*l - 2. Let c be m(-4). Let v = c - 21. Let f = v - -24. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide ((-62)\/3)\/(6\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*d**4 + d**4 - 3*d**4)*(2 - 6 + 2) to the form j*d**3 + f*d**2 + h*d + k*d**4 + c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-30)\/(-12)*(-228)\/(-10). Suppose 0 = 17*y - 475 - 817. Calculate the greatest common divisor of y and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**5\/20 - w**4\/2 - 11*w**3\/6 + 17*w**2\/2 + w. Is z(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1404, 3747, 6090, 8433, 10776, 13119?\nAnswer: 15462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 244 and 2074?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*l = -2*l - 462. Suppose 0 = -2*y - 3 - 3. What is the units digit of 272\/44 - (y - (-70)\/l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296d (base 14) in base 15?\nAnswer: 229e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -429, -428, -427, -426, -425, -424?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20528954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/20*-1*20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 + 15*j**2 - 12*j - 1. Let i(o) = -4*o + 15. Let w be i(6). Let t be (-5)\/((w\/(-6))\/(-3)). Is k(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -20, -55, -124, -239, -412, -655?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p**2 + 22*p - p - 21*p. Let h(j) = -7*j. Give f(h(c)).\nAnswer: -196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -24067 >= -48133\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 + i**3 - 55299244321*i + 55299244321*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5500570*-23\nAnswer: 126513110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -23, -39, -45, -41, -27, -3, 31?\n\"Answer: 5*v**2 - 31*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4198.205792 to 0 decimal places.\nAnswer: 4198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 55762249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011000011110011100101 - 0?\nAnswer: -11011000011110011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(132) + -2*sqrt(132))*2 - sqrt(132)))\/(sqrt(48)\/sqrt(4)*2 + sqrt(1452)*1).\nAnswer: -12*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 4*m**2 - m - 2. Let n be w(-3). Suppose -5*d - n = -8*b + 3*b, -d + 18 = 4*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/8)\/(132\/3168)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 8*n + 3. Let h be (-22)\/(-2)*(3 - 2). Let v(f) = f**3 - 11*f**2 + f - 16. Let j be v(h). Determine c(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12470 + -12470.01. Which is the closest to 15?  (a) f  (b) 2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**1)**(6\/13)*d**5\/d**(-6))**(15\/8) assuming d is positive.\nAnswer: d**(2415\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5208\/(-96)*28\/(-49).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88361?\nAnswer: 7, 13, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 2:54 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -118*x. Suppose 10*d + 95 = 5*d. Let c = d + 17. What is the units digit of o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - 2*r + 1 - 2*r - 1 + (1 + 2 - 2)*(0*r + 0*r + r) - 10663*r + 5333 - 2144*r - 5333 + 2021*r.\nAnswer: -10789*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21756 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (21\/(-9) + 3)*3. Solve -2*b - i*b + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.4273 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 808726363.\nAnswer: 17, 839, 56701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/((-4)\/1))\/(7*-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/5  (b) 0.5  (c) -65\/7  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3245 is divided by 296.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j**3 + j - j + (4*j + 5*j**3 - 4*j)*(-3 - 12 + 6)*(1 - 5 + 2) + 0*j**3 - 2*j**3 + 0*j**3.\nAnswer: 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/3 or -6038?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 36\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48 + -50. Is y less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 13795 = d - 3086, d + 3381 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 18087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26)\/(-247)*(-3420)\/5940.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 384, 867, 2176, 4725, 8928?\n\"Answer: 69*u**3 - u**2 + 3*u + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = 5*h - 4, 2*h - 2*z + 4*z = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.012 in 0.1, -0.5, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 5:06 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 131  (b) 1\/4  (c) 4\/5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2. Let v = 130 - 110. Suppose 79*h - 75*h = -v. Let d(x) = 7*x**2 + 1. Calculate h*i(l) - d(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1774, -1617, -1188, -349, 1038, 3111?\n\"Answer: 23*t**3 - 2*t**2 + 2*t - 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 - -64. Suppose 2*s = 2*d - 30, 47*d - 5*s = 46*d - 13. Is g less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*m = -22*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9\/100 + -106\/25. Let h = k + 22\/5. Which is smaller: 0.4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 + 11. Let n be (-22)\/55 + (-84)\/i. Which is the third biggest value?  (a) n  (b) -2\/9  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 228598891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/1)\/(8\/16). Solve 0 = 5*y - 4*n + 5, d*y - n + 30 = -3*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2459317476?\nAnswer: 2, 3, 7, 11, 1279, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -8*6*3\/(-24). Let o = -4 + h. Let 2*f + 4 - 4 - 4*f**o + 6*f**2 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 117a + -10b3?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -11*p + 665. Determine n(59).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2373716 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 78*d**2 - 222*d - 227. Let p be w(75). Let t = 0 - -3. Sort -3, p, t, 0 in descending order.\nAnswer: t, 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -39, 6 in decreasing order.\nAnswer: 6, 5, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48\/37 and 47\/411?\nAnswer: 15207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 937324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3633908673 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-468))\/(2175\/725 + 17\/(-4))?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -17*p**3 + 4*p**2 + 8*p - 7. Let z(f) = 35*f**3 - 9*f**2 - 17*f + 15. Let s(c) = -13*y(c) - 6*z(c). Let q = -292 + 293. Calculate s(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(2299) + sqrt(2299) + 1 + -3.\nAnswer: -5 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 93 = -3*v, 4*v - 147 = g + 4*g. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 351.5 - 351. Let h = 0.03 + 0.17. Let p(y) = -3*y - 2. Let q be p(-3). Put q, s, h in decreasing order.\nAnswer: q, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11.31093 + 6936404.\nAnswer: 6936415.31093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*q - 541*q - 32*q.\nAnswer: -528*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*x**5 - 10*x**4 + 8*x**2 + 11363*x.\nAnswer: 140*x**3 - 120*x**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.323 + 0.323. What is the biggest value in 5, -31, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5617196416 to the power of 1\/2, to the nearest integer?\nAnswer: 74948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -w + 4*w. Let g = -1 - w. Let j(o) = g*o**2 - 6*o**2 + 2*o**2 - 8*o**2. Let m(r) = -r**2. Calculate j(m(y)).\nAnswer: -7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6275*n - 1242*n + 309*n.\nAnswer: 5342*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 422118995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 990 and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -6, 0.2, -0.4, 11 in descending order.\nAnswer: 11, 0.2, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 22 + 5*b - 2 + 36 + 3.\nAnswer: 5*b + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 73.90871 years?\nAnswer: 0.7390871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from yjjljllsyjjsj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1498.\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/11  (b) 7.2  (c) 0  (d) -1  (e) 3\/10  (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 4168179 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-1)*-3 - -1. Suppose -3*m + 3*j = -36, 2*j - 5 = -3*m + 6. Solve t = -m*l + 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 853*x + 14 = 857*x + 3*d, -5*x + d - 88 = -23*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 42992\/15 + -2865. Which is smaller: -0.04 or s?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -881822250 to the nearest one million.\nAnswer: -882000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4608)\/63 + (-2)\/(-14). Let w = 104 + v. Suppose 1 = -5*h + w. Solve -y + h = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6785*g + 1013*g - 88920 = 1638*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5 - 44*o**4\/3 + 39*o**3 - 34*o**2\/3 = 0 for o.\nAnswer: -17, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/4, -2531318 in ascending order.\nAnswer: -2531318, -1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 56) + -948 + 968.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -298674.89 + 297375. What is i rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1238*-1.3\nAnswer: 1609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/41622282 and 139\/972.\nAnswer: 749201076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 AM and 2:22 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 618 or -5\/129?\nAnswer: -5\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 382552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1014 + 2033. Let t = h - 2130. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 580483 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, x: 7, r: 1}. Give prob of picking 1 r, 1 x, and 2 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 5*h + 8. Calculate the remainder when 38 is divided by f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 5*d**2\/2 - 8. Let o(u) = -4*u**2. Calculate o(j(v)).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30.325 - 30.3. What is h rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5724 - 578122\/101. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -11*g + 10. Let n(p) = 4*p - 3. Let l(t) = -17*n(t) - 6*z(t). Suppose 30*j - 33*j - 18 = 0. Give l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 685546?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 6 + -9 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, w: 4, k: 3, z: 4, n: 3, p: 1}. What is prob of sequence kw?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - (-22)\/(-2)) + 3. Let m = o - -10. Suppose 5*i + 3*s - 87 = 0, 0 = -s - m*s - 3. What is the remainder when 34 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) + 0 + -4 + -6*(sqrt(175) - (sqrt(175) + -1) - sqrt(175)))*5*1)**2.\nAnswer: -17500*sqrt(7) + 216875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12866*n**3*p + 4610*n**3 - 18*n**2*p - 224*n*p - 11060*n wrt p.\nAnswer: 12866*n**3 - 18*n**2 - 224*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -25*s**2 + s. Calculate a(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**5 + 28*d**4 - 138*d**3 + 285*d**2 - 207*d. Let n(u) = -u**5 - 56*u**4 + 276*u**3 - 571*u**2 + 417*u. Let r(c) = 3*n(c) + 5*x(c). Solve r(k) = 0.\nAnswer: 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 j when three letters picked without replacement from {q: 2, b: 1, j: 4, r: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 242 - 82 + 29*j**2 - 79 - 66 to t*j + o + a*j**2 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t + 35 = -5*x, -8*t + 10*t - 5 + 19 = -2*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 + 2*p. Suppose -l - 15*m - 6 = -16*m, 0 = 4*l - m + 12. Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -7 - -4 - -2*2. Let b be (2\/(-6))\/x - (-14)\/78. What is the third smallest value in 0, b, -0.1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111 (base 2) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 7*r**3 + 150*r**2 - 35*r - 31. Let q be l(-19). What is the greatest common factor of q and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 561 is divided by 88?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2\/2)\/(18\/(-36)))\/(-21)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224*w - 190*w + 154 = -421*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by 100\nAnswer: 9\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3756, -3758, -3760, -3762?\n\"Answer: -2*g - 3754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 + -1 + 4 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -21354*x - 3309874. Calculate w(-155).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 8.7  (b) 55.4  (c) -2  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1bb1 (base 12) in base 11?\nAnswer: -2652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) 1  (c) 0.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 10 = -6*t + 44, 5*t - 3*d - 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/3)\/l)\/l)**(-10)*((l\/(l\/(l\/(l*l\/((l*l\/(l*l\/((l\/l**(1\/2))\/l)))\/l)*l))*l))\/l)**(-9\/7) assuming l is positive.\nAnswer: l**(997\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 312 and 1392.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -202 + 2015. Suppose w = 5*h - 4*h. Let y = h - 29039\/16. Find the common denominator of y and -101\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2140*d - 22592 - 11276 = 95983 - 18571 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 8. Let a(l) = 99*l + 1 - 4 - 100*l. Let z(n) = -8*a(n) + 3*r(n). Let h(q) = 10*q. What is h(z(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1*((sqrt(12)*6*-2 - (4 + sqrt(300))) + 1 + -4)**2.\nAnswer: -3520 - 476*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1))\/u*u**2)\/(((u\/((u*u\/u**2*u)\/u))\/u)\/u**(-1))*u**(-4)\/(((u*u\/(u**(-6)*u)*u)\/u)\/u)*u**(-2)\/u*u*u*u*u**(1\/4)\/u assuming u is positive.\nAnswer: u**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -35*d**2 + 8*d - 7. Let u be s(1). Let l = u - -36. Which is the closest to l?  (a) -0.1  (b) 4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/40 + 14220\/(-58144)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, u: 2, q: 1, p: 1, v: 4}. What is prob of sequence qzu?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8 - -119978?\nAnswer: 119978.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - k - 77 = 0, 3*u - 2*k = -u + 58. Suppose u = f - 8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003814059 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2)*(-1869*v**2 + 4682*v**2 - 1112*v**2) to j*v + o*v**2 + i and give o.\nAnswer: -3402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 6, -3, -112729 in decreasing order.\nAnswer: 6, -3, -12, -112729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 18, 6, -18, -60, -126, -222?\n\"Answer: -a**3 - 5*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of 12*s**5\/5 + 5*s**2 - 2. What is the second derivative of p(w) wrt w?\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -0.5. Let g = 0.3 - -0.1. Let x = -4.5 - -5. Which is the nearest to 2\/3?  (a) d  (b) g  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3293757 is divided by 823439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a + 16. Let f be y(-4). Let x be 2\/(-5) - 2*(-24)\/f. Let u(t) = x - 1 - 1 + 11*t. Let n(r) = -r. Calculate n(u(i)).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79783 is divided by 39888.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 - 4716*f**2 + 23630*f.\nAnswer: -2*f*(f - 5)*(f + 2363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12 + 12 - 6*c + (-1 - 1 + 4)*(94*c + 134*c - 122*c).\nAnswer: 206*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.04, -3\/35, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6912, 13814, 20716, 27618?\n\"Answer: 6902*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -127\/9 - -119\/18. Let d be (-5)\/(-20) + 33\/(-4). Which is bigger: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 4*k + 3, 2*k + 5*y - 18 = y. Differentiate -k + 0*o + 0*o - 6*o**4 + 2 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/2)\/((-1)\/(-3)). Let r be (-3)\/b + -4 + 3. Solve -d = 4*z + 9, r*d + d + 11 = -5*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 42 = -8. Solve -3*t = -2*r + 4*r + x, 0 = -3*r + 3*t + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0247006 rounded to four decimal places?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*z - 38082 = -4*x - 185*z, -4*z + 38076 = 4*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of 5*l - 22*l - l**2 - l**3 + 6*l**2. What is the tens digit of s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 5*q - q - 105, -q = -2*k + 70. What is the highest common divisor of k and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20102 is divided by 102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 10:52 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8333?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, -3, -87, 0.1.\nAnswer: -87, -3, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.709246g in kilograms?\nAnswer: 0.000709246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m - 18. Let d be a(17). Let w be -3 - (-12)\/(-4) - (7 + -11). Sort d, 8, 0, w in descending order.\nAnswer: 8, 0, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.94 + 1.24. Which is the closest to -4?  (a) o  (b) -0.5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0677732271 rounded to 5 decimal places?\nAnswer: -0.06777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -48*s**2 - 4*s - 47. Let f(c) = 52*c**2 + 6*c + 49. Calculate -2*f(v) - 3*p(v).\nAnswer: 40*v**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4917969 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(550) + sqrt(550))\/(sqrt(275)*-1).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 9 - 39 = 0. Calculate the remainder when 59 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from ahhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/8 + (-5115)\/1860. Which is the nearest to -611?  (a) 3\/5  (b) -2\/17  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8\/10)\/((-100)\/(-250)). Solve -2*v + 3*v - m = 3*w, -w - 4*v + 21 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5882525?\nAnswer: 5, 11, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 23*i - 39 = -20*i, -b + 12*i - 33 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/2*294\/3234?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 2 + -3*(1*sqrt(28))\/sqrt(4)*-2)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/550 and -93\/350?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22660.074 months to centuries.\nAnswer: 18.883395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/1758 and 6\/(-7) - (-3267)\/378.\nAnswer: 12306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - w + 5. Let m be v(0). Suppose -3*y + 3 = m*q, 2*q - 3*y + 1 = -2*y. Solve -5 = 5*b, q*a = 4*a - 5*b + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1868.3 * 0.088\nAnswer: -164.4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -32037.71588 rounded to the nearest 100?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 159836530 rounded to the nearest ten thousand?\nAnswer: 159840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 491*z + 8. Let h(r) = -2. Give g(l) + 4*h(l).\nAnswer: 491*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 - 5*m**2 + 28*m + 139. What is the remainder when 371 is divided by w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - r. Let m(p) = 2*p**2 + 2*p + 2. Let q be m(-2). Let y = q + -4. What is the units digit of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118835*f**3 - 237517*f**3 + 118687*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 25 = -9*k - 43, -2*y + 2*k = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w. Let x(c) be the third derivative of 0*c + 0*c**4 - 5*c**2 - 1\/60*c**5 + 0 + 1\/6*c**3. Let d(m) be the first derivative of x(m). Give s(d(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12130 - 2002?\nAnswer: -14132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -11001 (base 2) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.1799711*14\nAnswer: -2.5195954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 104956?\nAnswer: -104958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/44 and -73\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrsssqqqqqssqsqqqq. Give prob of picking 3 s.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3974.3 plus -0.04?\nAnswer: 3974.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -14248, -2 in descending order.\nAnswer: 5, 0, -2, -14248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1494, 1486, 1466, 1428, 1366, 1274, 1146?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 186606908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/30 and (0\/2 - 620\/350)\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 184086539?\nAnswer: -2\/184086539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10175\/(-2750) + 6\/(-20). Sort g, 2, 1\/12, -558 in increasing order.\nAnswer: -558, g, 1\/12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 9. Let w(p) = -15*p + 6. Let s(j) = j - 13. Let k be s(8). Let y be w(k). What is the highest common divisor of d and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 6*v**5 + 16736*v**4 - 501006*v**3 + 2192912*v**2 + 15128520*v - 10915168 = 0.\nAnswer: -2819, -4, 2\/3, 11, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1\/4))**(-31)*s**10\/(s**(-1\/2)*s))**(-40))**31 assuming s is positive.\nAnswer: s**(-21390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1790)\/(-56) - 1 - 2139\/(-59892)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*k + 12*k = -50*k + 836 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6777156 divided by 4.\nAnswer: -1694289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/33, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of y**11\/55440 - y**7\/840 - y**4\/3 + 3*y. Let n(h) be the third derivative of g(h). Find the third derivative of n(v) wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15671 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 w when four letters picked without replacement from wlllwwwlllwlw.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**4*y*y**(1\/3)*y)\/(y**(1\/8)*y**(-2\/29)) assuming y is positive.\nAnswer: y**(4369\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**2 + 814*f - 814*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 2*u + 7 = 0, 5*q - 8*q = -3*u + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1613, 3173, 4745, 6335, 7949, 9593?\n\"Answer: r**3 + 1553*r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.9 + -6. Which is smaller: z or 73?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 19*j**2 + 17*j + 42. What are the prime factors of q(-23)?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17, -42, -105, -224, -417, -702, -1097, -1620?\n\"Answer: -3*u**3 - u**2 - u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2 + 3*i - 9 + 13*i - 34*i wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2219986*z**2 + 1216075.\nAnswer: 4439972*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.26145 nanograms in tonnes?\nAnswer: 0.00000000000003726145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 672 - 694 = 4*c, -5*c = q + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 2\/2433  (c) -12029  (d) 0.3  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 520*p - 353. Is w(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2959983354?\nAnswer: 2, 3, 31, 443, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21869921587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 4. Suppose -1 = -x + 11. Let j(n) = -4 - n - n**2 + 2*n + 21 - x. Determine 2*j(q) + 3*u(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**4\/3 - 8*m**3\/3 - 6*m**2 - 16*m\/3 - 5\/3.\nAnswer: -(m + 1)**3*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.311 + 0.011. Let a = -189 + 1515\/8. Let k = -2.04 + 0.04. What is the nearest to a in 1\/5, b, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 3*m + 2. Let g be w(6). Let j = -13 - g. Let s be j\/(-4) - 1\/(-1). Which is the third biggest value?  (a) 4  (b) 0  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 179263613 divided by -3?\nAnswer: -179263613\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 10*w. Let t(y) = y**2 + 7*y + 2. Let o be t(-6). Let l(b) = -2*b. Let c be (12 - 210\/20)\/((-3)\/44). Calculate c*l(h) + o*z(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -68*f + 34*f + 22*f - 17 + 27*f. Calculate the remainder when u(26) is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - h - 243 = 0. Suppose 4*l + h = 3*b, l + 178 = 5*b - 210. Suppose 2*r - 8 = 12. Calculate the remainder when b is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 8*v**2 - 10*v - 28. Let q be k(9). Let g = 181 + q. Is g greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 + 9*b**2 + b - 2. Let n be q(9). Suppose -38 = -5*l + 4*f, -f - n = 3*l - 4*l. What is the highest common divisor of l and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -198 less than or equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26 - -23.8. Let l = -0.147 - -2.547. Let b = k + l. What is the closest to -0.3 in 1\/2, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39*(-194)\/11349 - (69\/(-9) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2130140381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 156bbb2 (base 12) to base 11\nAnswer: 2519243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 4, d - 3*u = -6 + 14. Suppose 588 - 1142 = -d*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2859743741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 780 divided by -65?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18684202\/907 - -20600. Let m = y + 4539\/1814. Put -75, m, -0.4 in increasing order.\nAnswer: -75, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.145 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -57672 divided by -324?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12552 is divided by 303?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2490800 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -892*k**4 + 192504*k - 426028808?\nAnswer: -3568*k**3 + 192504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -16 and -188884726656?\nAnswer: 188884726640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 59?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 7:23 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 5*s - 43623, 3*f - 339*s + 333*s - 130827 = 0. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/(-7))\/(1*(0 - 2)). Let m = -24.2 - 6.8. Let i = m + 32. Which is the closest to 1?  (a) i  (b) -2\/5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 855\/1999 or -1?\nAnswer: 855\/1999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 6*l + 2*t + 28 = 0, -2668*l + 2673*l + 3*t = -4*t - 89 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v - 3*v + 12*v - v + 4*v - 2*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8100, -16168, -24236?\nAnswer: -32304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101 divided by 7.\nAnswer: 101\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 319 = g, 0 = -c + 3*g + 2*g - 187. Let l be 5415\/19 + (1 - -5). Let q = c + l. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 0*n = n + 9, 3*f - 5 = 5*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16303339386 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 5 - 1 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g - 267*u + 268*u + 9, -2*g = -3*u + 8*u - 14 - 13 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.2138246 centuries?\nAnswer: 21.38246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t + 23 - 1 - 10 - 12.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of 11*k**7\/7 - 2*k**3 + 6. Find the third derivative of y(j) wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34744?\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3540856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 1 - 5\/3*g**3 - 1\/4*g**4 + 2*g - 2*g**2. Determine x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*h**3*i*k**2 - 3*h**3*k + 267*h**3 - 2*h*k**2 - 27*i*k**2 with respect to i.\nAnswer: 24*h**3*k**2 - 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 14. Suppose 2*y + k*r = 252, 0*y + y = r + 116. Let u = y + -77. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 248052, 247707, 246772, 244953, 241956?\n\"Answer: -49*t**3 - t**2 + t + 248101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.03 or -13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + q - 4. Suppose -2*y - 10 = 4*l - 3*l, -2*l = -2*y - 10. What is j(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -3, -317, -6, -1, -53, -4 in ascending order.\nAnswer: -317, -53, -6, -4, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3456231030 to the nearest integer?\nAnswer: 58790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000176985792 rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u**4 - 33*u**3 + 1557*u**2 - 5640*u + 5412 = 0. What is u?\nAnswer: -41\/2, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (8\/14)\/(6\/(-21)) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 928 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97695581 is divided by 2666?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4080 divided by -68\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 5 = 0, -3891*s - 56 = h - 3889*s for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2820.5 + 2820. Sort -2\/5, h, -1, 1\/5, -2.\nAnswer: -2, -1, h, -2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000877 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-14))\/(3*1\/(-42)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 206\/28 + (-98)\/(-196) and -3 + 5 + 172\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 10:00 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -210322234 (base 5) to base 7\nAnswer: -10253242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yncxyxnyc. What is prob of picking 1 c, 2 y, and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*c = 179*c - 358*c + 98 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oh when two letters picked without replacement from ttyaohaoytyooacyoyo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -204*k - 537*k - 888*k + 3 as j*k + x and give j.\nAnswer: -1629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3733133272?\nAnswer: 2, 11, 107, 449, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/6)*u\/(u\/(u*u**(3\/7)))*u assuming u is positive.\nAnswer: u**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 10. Let x = -3 - g. Solve 3 = 3*q - x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 621671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.278574 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 2\/3  (b) -0.4096  (c) -1  (d) 159  (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 8. Let n be p(-9). Let o be n\/(1 + -2) + -2. Is o\/5 - (-106)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -7*z + 7*z + 3*z - 2*z**2. Let y be q(2). Sort -3, y, 5.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 681.0774ng?\nAnswer: 0.0000000000006810774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - v**2. Let q be n(-2). Let i(d) = 4*d - 2*d + d**2 + q - 2. Determine i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 68 - 12. Calculate the smallest common multiple of 9 + (0\/5 - 1) and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -19\/2, -7, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 584815811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + t - 3*t = -6, 0 = 2*i + 3*t - 4. Calculate the remainder when 18 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 1862.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -96 - 1e?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 12*m**2 + 2*m - 1. Let h be (3*(-10)\/(-12) + -1)\/((-309)\/618). Let j(p) = -12*p**2 - 2*p + 1. What is h*o(t) - 4*j(t)?\nAnswer: 12*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136)*-2)\/sqrt(4))\/sqrt(2) + 2*sqrt(68) + 2 + 1.\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 22 = 48. Let x(v) = -v**2 - 15*v - 15. What is the remainder when x(-9) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260202960 and 48370.\nAnswer: 6910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 8*m**2 + 83*m**2 + 3 - 31*m**2.\nAnswer: 44*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of -i**5\/5 - 17*i**4 - 58*i**3\/3 - 41. What is the third derivative of c(v) wrt v?\nAnswer: -24*v - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 7*i**2 + 2*i - 126. Let g(t) = 488*t - 500*t + 570 - 36*t**2 + 60. Let j(n) = -16*a(n) - 3*g(n). What is the first derivative of j(s) wrt s?\nAnswer: -8*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3295*0.07.\nAnswer: -230.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 770 and 16066330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3637 + -0.2?\nAnswer: -3637.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/9 + 1118*o\/9.\nAnswer: -2*o*(o - 559)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -47?\nAnswer: -5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -4*c - 27, 3*h - 4*c - 1 = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 699\/6 + 1\/2. Suppose 22 = -5*y + a. Do y and 19 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9872422 and 7756903?\nAnswer: 108596642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -338\/895 + -4\/179. Which is the third smallest value?  (a) 2\/7  (b) -0.21  (c) 0.3  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6744 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 242203 and 14428207.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/14 - (88\/161 - 0). What is the nearest to 0 in o, -0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 6 = -3*j, 2*j = 5*j - 3*z - 3. Suppose 0 = -0*m - j*m + 156. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -222?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or 0.6024?\nAnswer: 0.6024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2. Let h be (-5 + 3)\/2 - -2. Suppose -2*v = h - 5. Let j(y) = 4*y**2 + 9*y**v + y**2. Determine g(j(z)).\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*i + 12, -7*z = 2*i - 3*z - 20. Suppose 0 = -i*w + 321 - 33. What is the remainder when w is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -v**4\/6 - 112*v**3\/3 - 3136*v**2 - 351232*v\/3 - 162. Factor f(n).\nAnswer: -2*(n + 56)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8022 + 8022.000004811. Round j to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -x - 5*d + 337, -3*d + 317 = x. What is the derivative of 122 + 5*o**4 - x*o**3 + 329*o**3 + 3*o**2 wrt o?\nAnswer: 20*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1be07a (base 16) in base 11?\nAnswer: 1038673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 4. Let m = 13 + -18. Let t be b(m). Does 8 divide 2*-2*(t - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 10*h + 36. Let u be j(-5). Suppose 0 = 5*v - u - 4. Suppose -v*l - 6*l = -882. Calculate the remainder when l is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19\/(1026\/891)*4\/2*-1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 48 = -7*a + 4, 0 = 5*l - 16*a + 14*a - 22 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 351, 356, 361?\n\"Answer: 5*s + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u**3 + 4015*u**2 - 808015*u + 804005 = 0. What is u?\nAnswer: 1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9 - (-1 + 2)\/(3\/(-9)). Suppose 0*b + c = 2*b. Suppose o + 0 = 4. Solve -2*w - v = -4*v, o*w = 3*v - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.4 - -3.1. Let t(y) = -y**2 + y + 3. Let v be t(0). Which is the smallest value?  (a) j  (b) v  (c) -0.5  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2 - 3. Suppose -4*q - 2 = -7*q + 2*a, -3*a = -q + 10. Suppose -1 = 4*t - 9. Let d(z) = 5*z**t + 5*z**2 - 11*z**2 + 1. Give q*c(j) - 6*d(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogh when three letters picked without replacement from {o: 6, h: 3, g: 1, r: 7}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 0 + 1*(-58)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -685508, -1371003, -2056498, -2741993, -3427488?\n\"Answer: -685495*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-1))\/(637\/(-65) - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-3 - -4 - -1). Let l(x) = 6*x**2 + x. Let m be l(o). Solve -m*w = 7 + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x - 80. Let q(a) = a + 15. Suppose 29*v - 16 = 30*v. Let d(b) = v*q(b) - 3*w(b). Let u(t) = -2*t**2 + 24*t. Give d(u(n)).\nAnswer: 8*n**2 - 96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5977\/2 or -2989?\nAnswer: -5977\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*z + 36 = -97 - 3. Solve -22*m - z = -18*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**3 + 36*c**2 + 85*c - 797. What is the remainder when a(15) is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40147 is divided by 125.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (2 - 1*-25). Let q = -4 - g. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -109 + 230. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3315 + 10763. Which is bigger: w or 7447?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) -1  (b) 1\/3  (c) 3  (d) 4.973\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3916 is divided by 1792?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-36)\/10)\/((-102)\/(-10880)*16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.501062l?\nAnswer: 9501.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w + w - 120. Suppose -12 = 4*z + 5*j, 0 = -z + 3*z - 5*j - w. Solve 3*b - i = -4, b - 5*i + 4 = -z*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 310981*s**2 + 10 - 310985*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h - 11. Let x be n(11). Suppose -3*o + 9 = x, -4*c + 5*o - 41 = 30. Let z be c*(-3)\/(-10)*-50. Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -2, -2.89, -4, -5, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 323 divide 550069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 666896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/5*5\/5*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 1\/6, -1, -0.1, 0.5.\nAnswer: -1, -0.1, 1\/6, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 33  (b) -9  (c) -4\/7  (d) 0.2  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from ezexzbzzabbzxzbea.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 125 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l - 15. Give m(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59\/((-6962)\/(-295))*(-3 - 519\/15).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10861630.071648 - 10861222. Let y = d - 387.0716467. Let a = y + -21. Round a to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of 2*h**2 + 0*h + 0 - 1\/6*h**3 - 5\/6*h**4. Calculate the remainder when 36 is divided by i(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 525619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 574737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(7\/28 - 7\/(-4)). Is c less than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 25*a + 462. Let b be n(-18). What is the greatest common divisor of b and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express x**3 - 17*x**3 + 2*x**3 - 3*x**3 - 11*x**2 + x**2 - 2 as g*x**2 + d*x**3 + i + w*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -36*v + 2. Let z(d) = -139*d + 4. Let u(g) = 23*f(g) - 6*z(g). Let n(c) = -5*c - 23. What is 4*n(x) + 3*u(x)?\nAnswer: -2*x - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 540677?\nAnswer: 540677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92677832 is divided by 2574383?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -61121*w**4 - 62*w**2 + 93215738 wrt w?\nAnswer: -244484*w**3 - 124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001637849341 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 31*h + 1195. Let j be q(-39). Does -118\/9 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, c: 4, e: 2}. What is prob of sequence ce?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10120 + 10231. What is the remainder when 544 is divided by t?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12298823.\nAnswer: 647, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11983978*k**3*t - 179149*k**3 - 2*k**2 - 2*k + 3 wrt t.\nAnswer: -11983978*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/110*790\/(-1106).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**(-1\/11))*d**(-9\/5))\/((d\/(d\/(d**(-1\/8)*d)))\/((d\/d**(10\/3))\/d)) assuming d is positive.\nAnswer: d**(-8051\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2.12, -55, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 24 = x, 5*o - 2*x + 18 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 220747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*q + 2*m + 7, -20 = 5*m. Suppose -q*b = -b - 3. What is the highest common factor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 22. Let i = x - 11. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 0.03, 0.4, -13\/5 in decreasing order.\nAnswer: 0.4, 1\/4, 0.03, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 - r**2 - 3*r**2 + (r + r + 0*r)*(-6*r + 3*r + 2*r) + 2*r + r**2 - 2*r - r**2 - 4*r**2 + 3*r**2 - 7*r - r**2 + 7*r)*(-2*r + 2*r + r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 15, w: 3}. What is prob of sequence uuu?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5278 and -432?\nAnswer: -2280096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39361*a**5*p - a**4*p - 20*a*p - p - 2396 wrt a?\nAnswer: -787220*a**3*p - 12*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/30*(50\/(-325)*13 + (-78)\/(-30))?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - z. Suppose z = 5*a - 7*a + 38. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 0*y - 14 = -y, -3 = -3*y. Let a = 12 + c. Sort -11, a, 3 in increasing order.\nAnswer: -11, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 157*(-94)\/(-346813) + 29\/423. Let 2*a**2 - 2\/9*a**4 + 4\/3*a**3 - 3*a - h*a**5 + 0 = 0. What is a?\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 102 - 39. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/36, -1, -5, 0.3 in increasing order.\nAnswer: -5, -1, 7\/36, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/14 + 90\/(-126). Is t at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3 = 5*t, 49*u - 14 = -2*t + 52*u. Which is the nearest to 2\/7?  (a) -8  (b) 19  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -9?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -253*x**2 + 20*x - 37. Let g(j) = -7*j + 9 - 161*j**2 + 2*j + 224*j**2. Let w(c) = -9*g(c) - 2*r(c). What is the second derivative of w(p) wrt p?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 143427.2 days in seconds?\nAnswer: 12392110080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5764920 and 45192.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.413 + 0.0642.\nAnswer: -0.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -3*k + 6*k - 4*k + 2 + 9. Let o be d(8). Suppose 0 = o*v - 201 + 117. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d + 22. Let r be y(-7). Suppose x + 3 = r. Find the third derivative of -4*p**2 - 2*p**4 + 2*p**2 - 4*p**4 - x*p**2 wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*m + 250*m = -1243 - 187. Let f(d) = -5*d**2 - 25*d. Let i(b) = 6*b**2 + 24*b. Determine m*f(q) - 4*i(q).\nAnswer: q**2 + 29*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 96293*m - 96297*m - b + 24, 2*m + 6 = b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1143014144 (base 5) to base 15\nAnswer: -386419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + 29. Let b = z + -40.27. Round b to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 7676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2784 - 528 = -129*a + 1092 - 2835 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 747 is divided by 373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004055 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - f**2 - 10*f + 8. Let t(c) = c**3 + 11*c - 8. Let w(s) = -6*t(s) - 7*u(s). What are the prime factors of w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, x: 1, k: 2, u: 3, z: 6}. What is prob of sequence uz?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*g = 4*j - 10, 25 = 5*j. Let w be 0 - (g + 2 + 0). Let q(c) = -2*c**2 - 103*c - 135. Let n be q(-50). Solve -5*y + w + n = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 71, 357, 833, 1499?\n\"Answer: 95*u**2 + u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 2. What is the lowest common multiple of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 + -24. Suppose -65 = -5*q - 6*c + c, 4*q = v*c + 25. Suppose -i + 16 + q = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-4) + (-29)\/4. Let h(z) be the third derivative of z**6\/10 + z**5\/20 - z**3\/2 + 489*z**2. Let q(a) = -35*a**3 - 8*a**2 + 8. What is j*h(w) - 3*q(w)?\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1299*t + 756*t = 12489 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 73 = 3*w, -f - f - 90 = -5*w. What is the greatest common divisor of w and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-54)\/10)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3770*m**2 + 26999919*m - 26999919*m.\nAnswer: -3770*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 23*k**2 + 10*k + 9. Calculate the remainder when j(-20) is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**3 - 15 - 16 + 31.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 9:31 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -1721*t**2\/2 - 41*t - 898. What is the first derivative of z(o) wrt o?\nAnswer: -1721","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12102 - 12093. Let s(t) = 2*t + 3. Let x(h) = -h**2 + 5*h + 7. Determine f*s(z) - 4*x(z).\nAnswer: 4*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8\/3 + -3)*-21. Let t be 16\/7 - 2\/b. Solve 4*n - 6*n + 5*i = 26, t*n + 2*i = 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3446*c**3*g - 281093*c**3 + 2*c**2*m + 2*c*g*m - 15*c*g + c + 3*m wrt g?\nAnswer: -3446*c**3 + 2*c*m - 15*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34 and 64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 20*v - 26*v. Solve z - 1 = -v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 18065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from povovpppvvsovpv. What is prob of picking 2 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4*j - 12 = 0, 5*f + 9 + 6 = -j. Let s be -5*(f\/(-5))\/(-1). Suppose -27 = -s*i - 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(-2) - 345\/((-3)\/3). Suppose -5*t = -4*r + i, 2*r = -5*t + 3*r - 348. Round t to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**2 - o. Let n be r(1). Suppose 5*m - n*m = 3. Suppose -5*f - 3 = 4*h - 10, 0 = -3*f + m*h + 15. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/10 and 43\/596326.\nAnswer: 2981630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 2. Let v = -19 - o. Let k be ((-1)\/10)\/((-3)\/v). Which is the nearest to 0.1?  (a) -1  (b) k  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*z**2 - 3*z + 17*z**3 - 38*z**3 + 22*z**3 + z**2 to the form c*z + n + x*z**3 + f*z**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that x**4 + 26005*x**3 + 26004*x**2 = 0.\nAnswer: -26004, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 76 in 0.3, -0.081, 3, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0492566 + 2.0121734. Let x = s - 2.06. What is x rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-12)\/36)\/(1\/(-1581)).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80624*l + 40316*l + 40310*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k**2 + 11*k**2 - 4*k**2)*(4 - 5 + 3) to the form v*k + c + z*k**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*n + 14. Suppose -3*k + k = n. Let g = -4 - k. Solve -8*t + 4*t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 7*u**2 + 7*u + 80. Let b(d) = -d. Let i(r) = 6*b(r) + h(r). What is the first derivative of i(k) wrt k?\nAnswer: 14*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 924 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**4\/5 + 355524*c**3\/5 + 3160146170*c**2 + 94793364168*c\/5 + 15798597768 = 0 for c.\nAnswer: -88878, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3987 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-4*(sqrt(3087) + 1*sqrt(3087))**2 - ((-4*(-2 + sqrt(3087)))**2 + -5))*-2.\nAnswer: -493802 - 2688*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -256 - -248. Suppose -3*b - 24 = -2*s - s, 2*b = -4*s - 10. Let o = b - z. Let k(j) = -6*j - 4. Let r(t) = t + 1. Give o*k(m) + 5*r(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from totttvvotttttttot. Give prob of picking 1 t and 1 o.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 128.1 - 128.3846. What is p rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 15, 1, -19, -83.\nAnswer: -83, -19, -15, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 394 + 45. What are the prime factors of g?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58 - -1.712.\nAnswer: -56.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/33 - 10*(-14)\/44. Let c be (-1)\/((-2)\/22) - (j + -5). Calculate the highest common divisor of 104 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 29 = 9. Suppose -5*g = -6*u + 2*u + 3, u - 27 = -b*g. Suppose -2*k + u = -k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 454, 1868, 4234, 7558, 11846, 17104, 23338, 30554?\n\"Answer: y**3 + 470*y**2 - 3*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34552725 (base 8) to base 10.\nAnswer: -7525845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/165*21\/7.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 4:22 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -243, -376, -787, -1614, -2995, -5068, -7971?\n\"Answer: -23*d**3 - d**2 + 31*d - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65 - 61. Find the first derivative of 12 - 26 - 22*j**g + j**4 wrt j.\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -401718*b**2*g + 542*b*g - 115*b wrt b.\nAnswer: -803436*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.54288 + 404200107?\nAnswer: 404200107.54288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 78 - -2. Suppose 4*v = -v - j. Let u = v + 31. What is the greatest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 3. Suppose -m - 6*v = -v + k, -2*m - 2*v + 6 = 0. Calculate the remainder when 4\/((-11)\/(-297)*-12) + 16 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -15601945 and 3.4.\nAnswer: -53046613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + (-10)\/(-2) - 1. Let t(s) = s - s - 3 + w*s. Let d = -9 + 2. Let p(f) = 5*f - 7. Give d*t(b) + 3*p(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 14) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13543454, -27086923, -40630428, -54173987, -67717618, -81261339, -94805168, -108349123?\nAnswer: -121893222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -128764.2 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 817700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -16*m**2 - 230*m - 67. Determine c(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/((40\/(-16145))\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006 (base 7) in base 8?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-13)*((-35)\/42 - 8\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000027781 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9)*k*k)\/k*k**(-1\/2))\/(k*k**(-1\/2)*k)**(-2\/109) assuming k is positive.\nAnswer: k**(-1847\/218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7450, 7446, 7438, 7426, 7410, 7390, 7366?\n\"Answer: -2*p**2 + 2*p + 7450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 71831  (b) 5  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - a**2 + 3*a - 4. Let r(f) = f + 5. Let y be r(-8). Let n be v(y). Solve -n*q - 19 = t, -4*q - 18 = 2*t + q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = q + n - 5*n, 2*q = n - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 542.4933 to 1 dp.\nAnswer: 542.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-3 - -1) - (1956\/(-96) - -21)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -83*a**2 - 2. Let n(f) = -66077*f + 9. Calculate n(g(d)).\nAnswer: 5484391*d**2 + 132163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4 - 35\/12)*4. Which is smaller: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 16, -4, 5, -16.\nAnswer: -16, -8, -4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 306 - -1858?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5960170 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271978589.\nAnswer: 271978589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 1. Let y = g + 1.2. Let i = y + -0.2. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**8\/168 - 2*n**7\/105 + 7*n**6\/60 + 2*n**5\/3 + n**4 + 64*n**2. Find d, given that o(d) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -1. Suppose h*n + 111 = 3*o, -4*o - 3*n + 132 = n. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 0*p**2 + 0*p**2 + (-4 + 4 - 2*p)*(3*p - 5*p + 4*p) - 64*p + 13*p**2 + 64*p + 0 + 0 + 2*p**2)*(-p**2 - 2*p**2 + 5*p**2).\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.116 in -7, -4, 0.14, 4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l**3 + 9*l**2 - 5*l - 1. Let n(g) = -44 + 14*g**2 + 42 - 3*g**3 - 5*g - 3*g. What is 5*n(k) - 8*r(k)?\nAnswer: k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-14))\/((-725)\/(-6300)*-9)?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 289 a factor of 2724383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 309*q + 4059. Determine d(-22).\nAnswer: -2739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3455422 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (q**4 + 3*q**4 + 0*q**4)*(0 + 8 + 4) as h*q**3 + y*q**4 + c + j*q**2 + x*q and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2737599 greater than or equal to -19163195\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 103 - 13. Let g = 235 - f. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 90*n - 4. Let g(k) = 6751*k - 301. Give 4*g(f) - 301*j(f).\nAnswer: -86*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(-52) - 232\/832. Which is the closest to -1\/5?  (a) 1  (b) f  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 divided by -5?\nAnswer: 376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 21*v + 413. Calculate j(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -t**4\/2 + 10*t**2. What is u(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*o**2 - 498*o - 1944 = 0. Calculate o.\nAnswer: -162, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/25*(-33 + 579\/18)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 104 = -2*y + 3*g, 2*g = 2*y - 88. Let s(b) = -2*b + 8. Let c be s(-6). What is the greatest common factor of c and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 9*j. Let g = -10 - -20. Let i(n) = -g - n**2 + 10. Determine i(a(c)).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1035 + -1009. Solve 0 = -5*a + c + w, 2*a - 9 + 0 = -c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from ilfvyav.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from gnyygyo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -5*l**3 + 2*l**2 + 4*l - 1. Suppose 30*p = -110 + 140. Let o(v) = v**3 - v**2 - v - 1. Determine p*h(g) + 2*o(g).\nAnswer: -3*g**3 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**4 + 69*h**3 + 180*h**2 - 12*h - 240.\nAnswer: 3*(h - 1)*(h + 2)**2*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 117*n - 2556. Determine g(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c, 0 = m - 4*c - c + 178. Let l = -173 - m. Solve 0 = l*t - 5 - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29.55 + 3.85. What is k rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -111001001101001101011?\nAnswer: 111001001101001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23393 + 491*y - 23393)*(y**2 + y - y) - 5*y**3 + y**3 + 3*y**3.\nAnswer: 490*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, z: 2, d: 1, e: 8, k: 1}. What is prob of picking 1 z and 3 e?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-201580)\/(-50))\/((-28)\/(-98) - 8\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-5)*(-1 - (-172)\/12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - o**2 - 240*o + 14. What is j(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35.4 - -35.8. What is the biggest value in 6\/7, u, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 2 - 2*v - 4 + v. Let h = -15 - -18. Let k be -3 - 2*1\/1. Let q(i) = -i - 3. Give h*q(w) + k*y(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1586 + 1592. Solve 0 + z = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 0\/3) + 2. Let a be ((-88)\/55)\/(v\/5). What is the units digit of (4 + 6 - 2) + a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*r = 10, -4*f - 11 = -5*r - 4. Let p be 0*3*(8\/9 - 1). Solve p = f*c + 3*n + 17, 4*c = -3*n - n - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-6))\/1 - (-939)\/(-9). Let t be 21\/(-4) + -5 + h\/(-20). What is the common denominator of ((-9)\/t)\/((-8)\/(-15)) and 4\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91658.\nAnswer: 2, 7, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1700) + 5 - sqrt(17))**2 - (-3 + -3 + sqrt(17))) + (sqrt(1088) + -4 + sqrt(1088) + 0 + 2*sqrt(1088)*4)**2 + 0.\nAnswer: -551*sqrt(17) + 110224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 + 11*v**2 - 22*v - 11. Let c be i(8). Suppose -4*y + 13 = c. Solve -j + 1 = -y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -312\/2162393 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 5:46 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 8. Calculate o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -145 - -165.7. Let v = k + -29.7. Let u(x) = 2*x**3 - 2*x**2 - 2*x + 1. Let d be u(2). Which is the smallest value?  (a) v  (b) -0.5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 129.\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1728.04215 - -1728. What is d rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*r**5 - 1)*(-4 + 2 + 1) + 74*r**4 + 17*r**5 - 74*r**4 + 0*r**3 + 0*r**3 - 2*r**5.\nAnswer: 17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 481*p**9\/84 + p**7\/210 - p**5\/30 - 65*p**4\/6 + 37*p**2 + 7. Find the third derivative of r(z) wrt z.\nAnswer: 346320*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6943)\/954)\/131*(-4)\/(-8)*-10*-3\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and 115.2762966067.\nAnswer: 115.4762966067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3*c. Let k(d) be the third derivative of 21*d**5 - 11*d**2 + 66*d. Calculate w(k(i)).\nAnswer: 3780*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ryaiq. Give prob of sequence qi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/7 and 4\/41857.\nAnswer: 292999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(816)*-1)\/(sqrt(27)*-1) + -3)**2.\nAnswer: -8*sqrt(17) + 353\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 4*t = -155 + 21, -50 = -2*d - 2*t. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6733, -11, 33 in descending order.\nAnswer: 6733, 33, -11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -4*w - 10. Let p be u(-6). Let t = p + -14. Solve -3*o = -t*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-54) - 34\/12. Let f(c) = c**2 - c - 1. Calculate the least common multiple of f(o) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 795*x + 4789. Calculate p(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2531740762 and -15.3?\nAnswer: 2531740777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -1904*q**2 - 19036*q + 39. Calculate h(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 262872330\/2287 - 114942. Let c = -304459\/27444 - b. Find the common denominator of 804\/224 + (-6)\/(-21) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28\/19?  (a) 4.96  (b) 0.08  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71137108 - 7564243 = -151*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.9 - -5. Let p = -5 + 4.9. What is the nearest to 1 in n, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z**2 + 866*z - 14*z**2 - 864*z to r*z**2 + x*z + j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 266 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 0.4, -0.3, -3\/5, -4, -0.076559?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + g - 43 - 3, 3*g + 42 = 5*u. Suppose 4*h - u*h = -5. Round h to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven sixths of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 7*h = 90. Let t be (-95)\/((-2)\/4*2). Suppose 8*g - 3*g - t = 0. What is the remainder when g is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32818 or 1632?\nAnswer: -32818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a centimeter in millimeters?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 4*w**2 + 1 - 2*w**2 - 1 + (5 - 3 - 3)*(w**2 + w - w))*(-4 + 4 + 2*w**2).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 - 8. Suppose -4 = -2*s + 3*s. Let u be (-1)\/(s\/(-10)) - -1. Put y, u, 0.1 in decreasing order.\nAnswer: 0.1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 65 = -3*w + 5*d, 0 = -w - 4*d + 110. Let q = 95 - w. Suppose q*x + 7994 = 31359. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 u when three letters picked without replacement from nutgnuyqqggnyg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.4437465 litres?\nAnswer: 443.7465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - 4\/(16\/12). Let b(i) = -21*i. Let d be b(-1). Suppose -3*n - d = -6. Sort w, 4, n in decreasing order.\nAnswer: 4, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 501 divided by -1.\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-2)*c\/c**(-3))\/(c*c*c**(1\/3)*c*c**(-2\/19)) assuming c is positive.\nAnswer: c**(215\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 162589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2358 < 2361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27764 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(11) - (sqrt(704) + -1 - sqrt(704))) + -4 - ((2*sqrt(121))\/sqrt(11) + sqrt(11) - sqrt(495)\/sqrt(5))) + -4)**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1362 - -2989. What is the highest common factor of 38 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -4.97. Let n = -0.0300004 + j. What is n rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 683368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -351, 653, 174 in increasing order.\nAnswer: -351, 174, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.183553 and 453?\nAnswer: -83.149509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96658 is divided by 11215?\nAnswer: 6938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19200\/800 + (-190)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.236 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.4 - -0.3. Let m = v + -0.4. Let w = m - 0.5. What is the smallest value in -0.1, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of 0*g**3 - 4*g + 0*g**2 + 1\/2*g**4 - 4 + 1\/20*g**5. Let p(h) be the first derivative of f(h). Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 1. Let s(j) = j. Let n = 4483 - 4484. Calculate n*s(w) - a(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -58860a + -2?\nAnswer: -58860c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19834 and 19556?\nAnswer: 193936852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -102*o**3 - 2958*o**2 + 40*o + 1029. Determine k(-29).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1491 + 1655. Calculate the greatest common divisor of 5494 and g.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -j - 3. Suppose -3 = -0*s + j*s. Let b be (-19)\/((-4)\/(-8)*s). Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5019652565.\nAnswer: 5, 569, 1764377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728767*b**2 + 19*b**3 - 728767*b**2.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2327736, 2327737, 2327742, 2327751, 2327764, 2327781, 2327802?\n\"Answer: 2*h**2 - 5*h + 2327739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3340 - -3340. Which is the fourth smallest value?  (a) -5  (b) 5  (c) i  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/27)*j)\/(j**(-1\/6)*j*j*j))**(-1\/68) assuming j is positive.\nAnswer: j**(95\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-9)\/6*-6)\/1. Suppose -4*l = -m*l + 25. Let u(g) = 7*g + 4. Let h be u(3). What is the greatest common factor of l and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ngggfwnwfnzg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 4*z + 4 = 3 - 2, -59*t - 177 = 4*z + 2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 5*p**2 - 4*p + 5. Let a be i(4). Suppose -8*y + 3*y = a*g - 135, 5*g - 127 = -3*y. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l**3 + 2*l - 2. Let x(o) = 2*o - 15. Let w be x(10). Let c = 1 + 3. Let b(p) = -3*p**3 - 2*p + 2. Calculate c*d(q) + w*b(q).\nAnswer: q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3126?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3672774396031 take away -0.087?\nAnswer: 1.4542774396031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 22 = 3*b - b, -4*z - 55 = -5*b. Which is smaller: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 4*c - 1608, -8*g + 13*g - 5*c - 4035 = 0. Suppose 1354 = 5*i + 4*d, -2*i - 4*d + g = i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81, 163, 245, 327, 409?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**2\/9 + 3563912*q\/9 + 1587683592968\/9 = 0.\nAnswer: -890978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 + -3.7. Put j, 1, 1\/3 in increasing order.\nAnswer: j, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -4*z + 3*o - 3, -z = o + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2\/5, 3, -2, -2\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 857 - 418. Let x = f + -441. Which is greater: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 33\/7 in 2\/5, 1.8, 2, 4, -2\/65?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (((-147)\/(-7))\/3)\/((-7)\/(-14))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 3b0?\nAnswer: -3ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, o: 6, g: 2, m: 3}. Give prob of picking 1 i and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*j**2 + 2*j**3 - 13*j**2 - 93*j**2 + 0*j**3)*(-3*j**2 - 6*j**2 - 6*j**2).\nAnswer: -30*j**5 + 2055*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22041 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 119\/9 + 6\/(-27). What is the fourth biggest value in 0.3, t, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 802 - 729. Calculate the remainder when 123 is divided by a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1404 + 46?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -89 - -48. Which is bigger: -43 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 14 = 3*u, 14*u - 8 = 17*u + 2*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -12*y. Solve 3*f + 0*f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -18 + -1 + (3 - (4 - -4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 + 15. Solve -9 - 1 = a*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 1:20 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 10b?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10423242 + 1411?\nAnswer: -10421331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 0.3, -0.065, 2, 12, 0.0227?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 11 = -o, -d + 3 = 3*o - 2. Let t be ((-3)\/d)\/((-1)\/18). Calculate the greatest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**3 - 35007*b**2 + 280200*b - 560496 = 0. What is b?\nAnswer: -11677, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109046 is divided by 137?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-4))\/(3\/6) + -1. Let s(j) = 2*j + 7. Let k be s(-6). Let f = 2 + 3. Sort k, f, p in decreasing order.\nAnswer: f, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 6) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 298\/151?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, g: 1, r: 1, x: 1, q: 2, s: 1}. What is prob of picking 2 c, 1 g, and 1 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-70)\/(-25) + -3 - 12\/(-10). Which is the third biggest value?  (a) -58  (b) 1\/7  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*k + 15. Suppose -j + 3 = -d, k = 2*j - 0*d - 5*d. Let t(w) = w**2 + w - 6. Determine t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, i: 1, r: 4, a: 1}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 - 134. Let l be ((-52)\/(-12))\/((-3)\/h). Let z = l + -48. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*l - 3*p = 62*l - 21, 2*p = -5*l + 25. Which is the nearest to 0.1?  (a) 2\/7  (b) 0.16  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -4. Suppose 0 = -8*j + 4*j - 8. What is the remainder when (j\/(-4) - 3)*-2 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 506*b - 188*b = -2544 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - k + 1 + 4 + (20*k - 8*k + 8*k)*(0 - 3 + 5).\nAnswer: 39*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, i: 2, e: 2, m: 2, o: 1, k: 2}. Give prob of picking 2 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -23*b**8\/56 - b**4\/6 + 5*b**3\/2 + 42*b. What is the third derivative of a(p) wrt p?\nAnswer: -2760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c**2. Let o(t) = 7*t**2 + t. Let g be o(-1). Let p(i) = -6 + g - 2*i. Give h(p(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0 = -40. List the prime factors of 15\/2*(-224)\/s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -119, -234, -355, -488, -639, -814, -1019?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.294193 times -1?\nAnswer: 0.294193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1564 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: Which is the nearest to -8\/7?  (a) 2  (b) -222  (c) 340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-6*((sqrt(304) - sqrt(304)*-2) + -3))**2.\nAnswer: -2592*sqrt(19) + 98820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -30012321?\nAnswer: -30012323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - 6*k**2 + k + 1. Let u be d(-6). Suppose -5*z + 20 = 0, 5*q + z - 4*z = -2. Suppose 3 = -q*o - o. Put 3, o, u in decreasing order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*t - 3 = 0. Solve 0 = 4*r - t - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -18, -4, -1, 0 in descending order.\nAnswer: 1, 0, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 81 - 43. Let o = -26 + f. Is 19 a factor of o\/(-42) + (-382)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 3*sqrt(112)*3*4)**2.\nAnswer: 1440*sqrt(7) + 145177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 111222 (base 3) in base 15?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*f**3 + 0*f**3 - 2*f**3 + (-8*f**2 + 34*f + 18*f - 38*f)*(-1 - 36*f - 3*f - 3*f) as t*f**2 + x + v*f**3 + u*f and give t.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + 16. Let z = v + -46.99999916. What is z rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2\/3 - 3688*q\/3 - 1700168\/3 = 0.\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*3*sqrt(1029))\/(sqrt(63)\/(sqrt(18)\/(sqrt(2)*1))).\nAnswer: -42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -532*y = -525*y - 21, s - 24 = -5*s + 4*s - 4*y + 56 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5 = 2*c + 4, -2*u = 3*c - 15. Suppose u*b - 1 = 5. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xcvkvvccvvvkkvvckc. What is prob of picking 2 c, 1 x, and 1 k?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/15, 0.01, 0.1, 4.68542, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -15 - -13 - 60\/(-2). Suppose -m = -i - 3. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/24 and 60\/(-432) + (-8)\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 68870453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -67\/2134 or -1?\nAnswer: -67\/2134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25716 is divided by 8497?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 6 = -v - 0*v, -5*u - 20 = 0. Suppose v*q = -k + 238, -2*k - 702 = -5*k - 3*q. Is 42 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 6370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -101000111100001010110 (base 2) in base 3?\nAnswer: -2112011020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q**2 + 63*q - 225. Calculate t(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11629, 5\/4, -7?\nAnswer: 11629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10356092 is divided by 57.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 74 - 24. Suppose -2*y = 4*h - 306, -4*y - y + 240 = 3*h. Calculate the greatest common factor of h and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2422*m + 555*m = 13200 - 15651 + 118205 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(13\/6)*t*t*t*t*t**(-25) assuming t is positive.\nAnswer: t**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 112, 156, 222, 310?\n\"Answer: 11*g**2 + 11*g + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -75*u**3 - u**2 + 2*u + 2. What are the prime factors of y(-1)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -6806*x - 95454. Determine k(-14).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34 + 19 - 27)*(52 - 20*k - 52 - k - 5 + 5 + (-3*k + k + 4*k)*(0 + 5 - 2) + 0*k + 3*k - k).\nAnswer: 546*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -272 - -278. Suppose 5*z + 2*j = 30, z + 2*z = -4*j + 4. Solve p*u = z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28237 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 6:26 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4278, 4274, 4272, 4272, 4274?\n\"Answer: j**2 - 7*j + 4284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17.832919 + -19.83293. Let x = -2 - c. Round x to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 7*a - 2. Let h be l(6). Suppose h*o + 197 = -307. Let v = o + 245. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -403582*f**6 + 45*f**3 - 6*f**2 + 263951*f + 4 wrt f?\nAnswer: -48429840*f**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 2*z = 0, -p - 18*z + 23*z = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**3*p**3 - b**3*p - 3623450*b**2*p**2 + 39*b**2 + 4*b*p + b + 3190*p wrt p?\nAnswer: 6*b**3*p - 7246900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -572 = -21*g + 22*g - 23*g. Solve -10*b = g*b + 108 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 122206880 and 22?\nAnswer: 1344275680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*k - 10869 - 18581 = 0. What is the greatest common factor of k and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -151*r**4 - 2*r + r**2 + 149*r**4 + 0 - 1 + 2 in the form u*r**3 + d*r**4 + k + l*r**2 + i*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 330314 (base 5) in base 4?\nAnswer: 2301012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -8363.74507 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 8*h**2 + 8*h. Let t be (-1)\/((2\/(-15))\/(24\/(-30))). Let l be 3\/t*22 - -4. Determine c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 3*y - 373, -5*y + 3*w - 5*w = -611. Let t = y - 69. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.680441 kilograms in milligrams?\nAnswer: 2680441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 4 = -4*c + 6, 5*c + 42*n = -0*n + 104 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**5 + 3*t**5 - 5*t**5 - 2*t**5 + 2 - 2 + (-t**2 - 2*t**2 + 2*t**2)*(2*t**3 + 5*t**3 - 5*t**3) + (6*t**2 + 0*t**2 - 4*t**2)*(-t + t**3 + t).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 118.0504 + -118. Let w = -0.05 + v. Let r = -0.01 - w. What is r rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -638 + 638.4. Suppose -2*m = 2*a + 8, 0 = -2*a + a - 2*m - 4. What is the third smallest value in -0.5, a, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 * 6224800\nAnswer: -224092800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 2*r**2 + 27 - 3*r**2 + 3*r**2.\nAnswer: 2*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 17*p**2\/2 + p + 8. What is the units digit of y(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*3\/(-159)*((-210)\/(-120))\/((-21)\/(-6)).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 2\/31, 45, 0.217?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 104811 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26*(-6)\/78)\/(-77))\/(3\/(-22)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -10*b + 2. Let t = -3 + 0. Let k be u(t). Let x(y) = y**2 + 3*y - 6. Let a be x(-5). What is the highest common divisor of a and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**3 + 10*i**3 - 70*i**3 + 15*i**3 - 3 + 3.\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.26 - 0.04. Let y = 0.2 + l. Let x be ((-23)\/(-6))\/(-1) - 4\/24. What is the closest to y in x, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2565845427 to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50172 - -50370. Calculate the smallest common multiple of x and (1 - 13)*11\/(-4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250665 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 + 63. Let w(l) be the first derivative of -2 + 0*l**2 - 1\/2*l**4 + 0*l**3 + d*l. Differentiate w(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -11 - 5. Let c = -25 + 39. Let z = c + -12. Calculate the remainder when j is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -170984 or -170987?\nAnswer: -170987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -10768*q**3 + 22*q**2 - 22*q - 28. Let m(s) = -2154*s**3 + 4*s**2 - 4*s - 5. Calculate 4*h(p) - 22*m(p).\nAnswer: 4316*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1150731 is divided by 139?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o = 9*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of f**3\/6 + 21*f**2\/2 + 223*f - 2. What is g(13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1539 and 5757?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*v, 0*y = 4*y + 5*v - 9. Suppose 4*h = 7*h - y. Are h and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of 7\/2*y**2 - 1\/12*y**4 + 3*y - 2\/3*y**3 + 0. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 0.5, -5, 4\/3377, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2024, -4040, -6056, -8072, -10088?\n\"Answer: -2016*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53555104 divided by -992?\nAnswer: -53987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -25786\/55 at most as big as -469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41932 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23895213 a multiple of 1206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.11 + -8.11. Let d = f + 3. Which is the nearest to 2\/3?  (a) d  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 3*w**2 - w + 4. Calculate j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 2*w**3 + 14*w**2 - 34*w + 18 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -5*o + 27. Suppose 0 = -4*u - v - 26, 0*u + 2*u - 2*v + 18 = 0. List the prime factors of b(u).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 7 - 22. Suppose 0 = z*f - f - 20. Put -5, 3, f in decreasing order.\nAnswer: f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + (-261)\/(-21))\/(12\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 7*o**2 - 39*o - 43. Let n(z) = z**2 - 2*z - 1. Let f(x) = -m(x) + 6*n(x). List the prime factors of f(24).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -587\/7 + 84. Let g = 4\/21 + q. Let v = 0.3 - 0.2. Does g = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -5*w**2 - 315*w - 900 = 0.\nAnswer: -60, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.6. Let r = -0.1 + u. Sort 3, r, 2\/5 in increasing order.\nAnswer: r, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 25. Let y(q) = 29. Let w(m) = -7*t(m) + 6*y(m). Let h be (-2)\/11 - (-65)\/55. Let o(j) = -4*j - 6. Calculate h*o(c) - 6*w(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 2*q + 60. Suppose 0 = -6*b + q*b - 184. Suppose m + 4*m = 5*k + 230, 5*k + b = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35 by 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20881 divided by 1099.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29543 and 155.\nAnswer: 147715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -82*a**2 + 218 + 97*a**3 - 438 + 220 wrt a?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -129163410235?\nAnswer: 129163410231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and 46.955.\nAnswer: 469.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 651 + -43?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 187 - 135. Suppose 0 = -26*l + 156 - u. Solve 0 = l*f - 31 + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y + 96 = 41*y. Suppose d - 17 = -y*j, -3*j + 1 = -d - 3. Solve -5*r - 13 = -j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 782295 and 86.\nAnswer: 67277370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/10  (b) -3  (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000172081 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07 and 0.1022153.\nAnswer: -0.007155071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20214*i**2*s + i**2 - 1427*i*s - 9*s wrt i?\nAnswer: -40428*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 22883, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -961\/44 + 87\/4. Let p(h) = -h**2 + 6*h + 2. Let x be p(6). Let y = -2 - -1. Which is the second biggest value?  (a) j  (b) y  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -105 + 147. Let r be j\/6*(1 - 4). What are the prime factors of r\/(-14) + (-106)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -2*b + 5*a + 31, b = -3*a - 12. Suppose b*f + 64 = 7*f. Suppose -x - 2*n = -f, -3*x - 16 + 80 = 2*n. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2835)*-1*3*-1)\/((-1*sqrt(2000) - sqrt(20))\/(sqrt(40)\/(sqrt(10) + sqrt(40)))).\nAnswer: -9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*v + 43*v = m - 1242, -4*m + 2*v + 4960 = 0. What is the lowest common multiple of 10 and m?\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 + 4*u + 4. Let s(b) = -5*b**2 - 11*b - 11. Let i be ((-60)\/(-50))\/(6\/(-20)). Calculate i*s(a) - 11*g(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 360497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1438 = 91*f + 713 - 1095 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**6\/40 - 129*k**5\/20 + 5547*k**4\/8 - 79507*k**3\/2 - 57*k**2. Solve g(o) = 0 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of p**4\/4 + p**3\/3 - 3*p**2\/2 - p - 3. Let x be h(3). Solve 5*z - 1 = -x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.05 + 3.95. Which is the closest to -3\/4?  (a) -1\/3  (b) g  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-31 - -31) + 0 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.9 times -2292?\nAnswer: -57070.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*g**2 - 5*g + 94*g + 25*g**2 + 48*g**2.\nAnswer: -9*g**2 + 89*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 18*z**2 + z - z - 21*z**2. Let a(h) = 19*h**2. Calculate l(a(u)).\nAnswer: -1083*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -444*z - 551*z - 2 + 1535*z + 2 - 537*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -48. Calculate the lowest common multiple of (10\/4 - 1)*(-16)\/h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -u**8\/20160 - u**5\/60 - u**2. Let s(y) be the third derivative of d(y). Let l(p) = 2*p - 2*p + 0*p + 4*p. Calculate l(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 11) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -1400844.4\nAnswer: -1400844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 107839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -27286, -30095, -32904, -35713, -38522?\n\"Answer: -2809*w - 24477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-83)\/(-58) - 13\/((-26)\/(-3))) + (-66671)\/(-1661816)?\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 1956 - 3906 + 1934 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*a - 135*a**3 + 2 - a**2 + 14*a + 134*a**3 in the form q*a**2 + b*a + r + n*a**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2906 + -1565. Suppose -3*p + i = m - 3*m, 0 = p - m - 446. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -582 + 752. Suppose -182*o + m*o = -2016. What is the smallest common multiple of o and 36?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.03, -2\/135, -1\/8, -5?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 82719\/65 + (-2)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 + 24. Solve -p*z = 3*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/((-88)\/16)*(-357)\/84*4\/1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 258.0335.\nAnswer: 256.0335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -6*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22768500 rounded to the nearest one hundred thousand?\nAnswer: 22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2021 is divided by 665.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 12) to base 8\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33072 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-34)\/(-2) + -4*(-105)\/60. Solve 0 = -i*v + 21*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i - 34*i**2 - 5*i - i. Let h(d) = -258 - 270 + 528 - 2*d**2. Give h(a(u)).\nAnswer: -2312*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - 0)*2 - -6. Let g(y) = 7*y + 127. List the prime factors of g(p).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*z = 21*z + 1003. Suppose 73250 = 54*l - z*l. What is l rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48161765 to the power of 1\/2, to the nearest integer?\nAnswer: 6940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.5 and -0.92656?\nAnswer: -1.38984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) -3\/2  (c) 0.3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.01 - 0.19. Let j = t - -0.2. Let m(h) = h**3 + 6*h**2 + 2*h + 1. Let u be m(-6). Which is the third biggest value?  (a) -0.1  (b) u  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 9, n: 5}. Give prob of picking 4 n.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1130*j + 1736 - 1736.\nAnswer: 1130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-8)\/36 + (-308)\/(-9). Let p = b + -20. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31\/2 - -337\/22. Let o = 0.18 + -0.08. What is the nearest to -11 in -2, d, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/56*(24\/(-9))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 55493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 840 + 0?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -740 = -4*a - 3*k, 467 = -4*a + 3*k + 1207. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**4 - s**3 - s**2 + s - 1. Let d(i) = 61*i**4 - 35*i**3 - 31*i**2 - i - 3. Let w(c) = -d(c) + 3*l(c). Factor w(t).\nAnswer: -4*t*(t - 1)*(4*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + 13*o + 9. What is the units digit of b(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3*a + 105 = 0, -5*j = 5*a + 9 - 214. Let q(p) = -30*p**2 - p - 1. Let n be q(-1). Let l = j + n. Solve -2*x + r = 2*x - l, -x - r = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -53709 by 2.\nAnswer: -53709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-17)*z**(2\/59) assuming z is positive.\nAnswer: z**(-1001\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gpogugbgo. What is prob of picking 1 p and 1 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10436 is divided by 147?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 277 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-516)\/(-946) + (-164)\/(-22). Solve -47*k = -39*k + i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 8 - 3. What is f in 136*f**2 - 3 - d*f**3 + 17*f**3 - 163*f**2 + 18*f = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - c + 15 = 0, 4*d - 9*d = 4*c - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1939 - -1993.36. Let y = 48.985 + 0.915. Let m = y - q. What is m rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - 7*u - 3. Suppose -3*j - 25 = -8*j. Suppose -j*c - 7 = -47. What is the remainder when 14 is divided by z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 731 is divided by 108?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, w: 3, e: 1, b: 5, u: 2, i: 2}. What is prob of sequence uvi?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 787 - 484 - a + 253 + 273 + 674.\nAnswer: -a + 1503","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30469 + 0?\nAnswer: 0.30469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/17)\/((2\/30)\/((-1226)\/9195))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 0*m + 259498 - 259498 - 11*m. Let i(u) = -393*u. Calculate o(i(f)).\nAnswer: 4323*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10065.24 millilitres in litres?\nAnswer: 10.06524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6ed42 (base 16) to base 8\nAnswer: -1566502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 3*a - q - 23, -5*a + 5*q = -80. Let i(k) = k**3 - 10*k**2 - 11*k + 12. Let n be i(a). Calculate the greatest common divisor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 16 = -7*n. Let p = 14 + 1. Suppose 11*v - 8*v - p = 0. Solve 10*c + 27 = v*c - 4*d, -4*c + n*d - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -611 - -615. Solve -k = k - t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -240 + 250 - (-32 + 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/8 at most -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - a = -154. Let u be 11*-3*(-9)\/(27\/2). What is the greatest common factor of u and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 602 divide 6415514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1570\/1920)\/(10\/(-54)). Let w = a - 1\/960. What is the common denominator of -57\/20 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/13 - 3750842*b\/13 + 3750840\/13.\nAnswer: 2*(b - 1875420)*(b - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 0*s = -18. Suppose 4*d - s = -7. Let r(o) be the second derivative of -o**4\/6 - o. Determine r(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -256?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220aa82 (base 13) to base 4.\nAnswer: -213233330002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -712 - -708. Put 3, 5, 57, j in descending order.\nAnswer: 57, 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - z + 8 = 0. Let w(y) = y**3 - 4*y**2 - y + 5. Let j be w(z). Let t be (6\/2 - 1)*j. Solve 0*a + 10 = -t*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 - 3*q**2 + q**2)*(93186 - 161821 + 84490 + 1 - 1 - 2 + (1 + 2 - 2)*(0 + 0 - 2)).\nAnswer: -15851*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131, 279, 443, 623, 819, 1031?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14.7 + -0.7. Let j = 14.000018 - h. Round j to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 113?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -193\/4 + 48. Let l = -7032.8 - -7032. Which is the second biggest value?  (a) p  (b) 2\/17  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -7*g - 5. What is the remainder when f(-7) is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 576419 and 697.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*h - 48 = 4*h, 0 = j + 3*h - 12. Let r be 4 - (j\/(-30) - (-44)\/10). Solve 10 = -2*l - r*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = 5*q - q. What is the remainder when q is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*f - 140*f - 36 = 0. Sort 0, f, 1.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*a**5 - 2*a**4 + 292*a**3 + 394*a**2 - 287*a - 392 = 0. What is a?\nAnswer: -7, -7\/5, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1746611790 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 14 - 56. What is the remainder when m is divided by (1 - 5)*12*(-6)\/24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -29*p. Let t(f) = -57*f. What is t(r(v))?\nAnswer: 1653*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 11:11 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -11978*n + 20281079 - 20281079 as q*n + h and give q.\nAnswer: -11978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 + 58. Suppose -4*a - 2*f - 8553 + 32055 = u, 0 = 5*a + 5*f - 29375. Suppose -g + a - 23576 = 0. Round g to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-4) - 471\/(-12). Let n = k + -28. Calculate the smallest common multiple of n and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.579  (b) 0.1  (c) 2  (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005328 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1240\/485253 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + 9*g + 12. Let z be w(7). What is the units digit of z\/(-10) + 20\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(1\/(-2)*(-7)\/(-1)*6\/30)\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2176221858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 1:42 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.6 + -2.8. Let k = 0.5 + v. Let r = -1 - k. Put r, 2, -1\/2 in increasing order.\nAnswer: -1\/2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i*(i*i**(1\/3)\/i)\/i*i))*i**(-1\/8)\/i)**(15\/7)\/((i\/(i**(-1)\/i))**(2\/5))**(5\/4) assuming i is positive.\nAnswer: i**(-59\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j - 26. Calculate y(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1cd + 26b9?\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -14799 + 14851 + (-11 + 0 - (1 + (-2 - 0)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55671, -111317, -166963, -222609, -278255, -333901?\nAnswer: -389547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7292 minus -2.7?\nAnswer: 1.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 = 3*n + n + 3*t, -5*t + 92 = 3*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*i + 69 - 188 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/7)*g**(-15\/2))\/(g**(-34)\/(g**(-23\/5)\/g)) assuming g is positive.\nAnswer: g**(1493\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -18, 2, 18, 4 in decreasing order.\nAnswer: 18, 4, 2, -18, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 191 - 3*f**2 - 191. Let y(a) = -a**2. Give y(q(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, c: 2, f: 4, q: 1}. What is prob of sequence qbff?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + -1 - -1)*(-36 - -37). Solve 4*t + 20 = 2*y, -2*t = -j*y + 10 + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/8  (b) 2  (c) -5\/3  (d) 241  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -1. Let r(s) = -39*s**3 + 2*s**2 + 4. Let h(k) = -r(k) + 8*z(k). Find the third derivative of h(t) wrt t.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000924889187 to 6 dps.\nAnswer: 0.000925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*o - 1001 + 2038 = -4663. What is the least common multiple of o and (-2 - -57)*(1 - 0)?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 81 and 9.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 99 + -87. Let y(p) = -230*p**2 - 5*p - 231. Let v(l) = -574*l**2 - 12*l - 578. Let r(j) = z*y(j) - 5*v(j). What is the derivative of r(t) wrt t?\nAnswer: 220*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.074*-59.\nAnswer: 4.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - n + 2 = 0. Let a be ((-62)\/4)\/(n\/(-2)). Let k = 43 + a. Solve -3*h - v = -k, -5*h - 3*v + 4*v + 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y - 1. Let b(l) = -4*l + 7. Let d(o) = 11*o + 83. Suppose -12 = 2*c - j - 3, -5*c - 5*j = 60. Let p be d(c). Give p*w(r) + b(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -20, 34, 114, 220?\n\"Answer: 13*d**2 + 15*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((-396)\/121)\/12)\/((-6)\/4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 2*w**4 + 323678*w**3 + 4854576*w**2 - 23305248*w - 419447808 = 0.\nAnswer: -161824, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 41498 > 41491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -98553 or -109038?\nAnswer: -98553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 112*z + 108. Let j be l(-1). Sort j, -5, -541 in increasing order.\nAnswer: -541, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11 + ((-2)\/(-1))\/(-2). Suppose -i*k = -15*k. Let d = -6 - -11. Solve g = 0, -4*u + d*g + 4 = -k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**2 - 121 + 588 - 120 - 94 - 134 - 119.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q*q**3)\/q)\/q*q**(-4)*(((q*q**(-3\/5)*q)\/q)\/q)\/(q\/q**(5\/2)))**(-2\/91) assuming q is positive.\nAnswer: q**(1\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -2*s + 4*o, -13*s - o + 1 = -9*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 148.720159 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19.2 + 19. What is the smallest value in o, -9, 3\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*(t\/t**(-10))\/t*t*t*t**16\/t assuming t is positive.\nAnswer: t**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 1 - 2292*v + 2302*v + 8 + 32*v**2 + 4.\nAnswer: 32*v**2 + 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23.297823 months to decades.\nAnswer: 0.194148525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.053*0.1053\nAnswer: -0.0055809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 3531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c + 8. Let o be p(6). Let d = o - 10. Let i be (3*-1)\/((-60)\/140). Solve -13 = -2*b + i*b + x, 23 = -d*b - 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-2\/11)*v))**(12\/5)\/(v**(-7))**45 assuming v is positive.\nAnswer: v**(17349\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1266*y + 160*y - 617*y + 10338 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13218236 (base 10) to base 16.\nAnswer: c9b1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20740830 + -3?\nAnswer: -20740833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -2\/9  (c) -0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1511 + -955. Let w be (1 + -4)\/((-6)\/t). Suppose 4*g = -3*b + w, 212 = 3*g + 3*b + b. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -5*f + 48. Let q = -85 + 94. Calculate the lowest common multiple of f and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1644533576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/22416 and 47\/27.\nAnswer: 201744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - m + 7 = 6*a, 4*m = a - 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -198, -791, -1780, -3165, -4946, -7123?\n\"Answer: -198*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*n + 4, -4*d - 4*n = -2*d - 10. Let f(a) = -5*a + 17. Let h be f(d). Factor 3\/2*b**h + 0 + 1\/2*b**4 + 1\/2*b + 3\/2*b**3.\nAnswer: b*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 3) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.191 + 16.791. Let i = 16.8 - m. Which is the second smallest value?  (a) i  (b) -3  (c) 5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1427600 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/8*(-784)\/490)\/((-5)\/((-90)\/(-4)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 413*g + 21021 = 420*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2*a = -3*n + 388, -3*a = 4*n - 509. Suppose n*i - 135*i = -996. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295.0668 millilitres in litres?\nAnswer: 0.2950668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12912, -51612, -116104, -206388?\nAnswer: -322464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53830520.\nAnswer: 2, 5, 131, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**7\/c)\/c**(-11\/5)*c\/(c*c**(1\/12))*((c*c\/(c*c**(-1\/5))*c)\/c*c)\/c assuming c is positive.\nAnswer: c**(559\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -865458.219 to the nearest one hundred.\nAnswer: -865500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 - 15. Suppose 1 = -2*l + f. Let j(r) = 40*r**2 - 44*r**2 - r - 5*r + r**3 + 4. Give j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = -2*g - 49, 432*g = 433*g - 3*u + 12 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13062 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 3:05 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2991?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18168868*a**5 + 9355*a**2 + 23*a - 13?\nAnswer: -1090132080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2*f = 2*h - 50, 4*h = -f + 47. Suppose 4*i + h = 0, -9 = -3*x + 2*i + i. Suppose 55 = 4*q - g - 4*g, x = 2*g + 6. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -42*r**5 - 380*r**4 + 1430*r**3 - 760*r**2 - 728*r + 480 = 0?\nAnswer: -12, -5\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -503 + 502.9415. Let d = 2.0585 + s. Which is smaller: d or 42?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9.2 - -0.91\nAnswer: -8.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 + -32. Let h(c) = -c - 5. Let d be h(v). Suppose d = -3*r + 20050 - 550. What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + j + 3. Let i(m) = 3902*m**3 - 4878*m**2 + 6*m + 18. Let r(z) = -i(z) + 6*l(z). What is the third derivative of r(a) wrt a?\nAnswer: -23376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 14560.\nAnswer: 14560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) - (sqrt(11) + 2*sqrt(11))))**2 + -1*sqrt(76) - (3 + (sqrt(19) + 0)*2).\nAnswer: -4*sqrt(19) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/6)\/((-1)\/(-3)). Let w = 1.7 - 1.6. Let s be (0 - 2\/3) + 0. What is the third smallest value in s, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 536686 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513014180.\nAnswer: 2, 5, 7, 1217, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 58611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2625292712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiic when four letters picked without replacement from {t: 1, i: 9, c: 1}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3439063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -178.75 - 1.25. Let k = h + 180. Is 0.6 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2930 + 43952\/15. Put -0.2, i, 0.387 in ascending order.\nAnswer: -0.2, i, 0.387","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 66346 - -3?\nAnswer: 66352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -64280 * -35.8\nAnswer: 2301224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u. Let r(h) be the second derivative of -53*h**3\/6 - 470*h. Determine l(r(b)).\nAnswer: -159*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x - 2. Let k(j) = 18*j - 22. Let p(m) = 12*a(m) - k(m). Does 6 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c + 381 = 17*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 230119397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q - 3. Let c be t(-6). Let x = 13 + c. Solve -5*k + 35 = 2*r, -5*r + 2 + 3 = -x*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*r + 27*r - 264 = -29*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in -14, 0.4, 5997?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0478 - 0.1?\nAnswer: -0.1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.00426 and 0.116.\nAnswer: 0.00049416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -590\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3416358916.1 from 23.8.\nAnswer: 3416358939.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from pppppppppppfp.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 2 + 6 + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77483913.\nAnswer: 3, 13, 103, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/3 and -64\/154004487.\nAnswer: 154004487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 1. Let i(f) = 2 - 2 + 4 + f - 3*f. Suppose -3*x + 4*y - 8 = 0, 0 = x - 4*x - 4*y - 40. Let z = x + 12. Determine z*d(b) + i(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 10011110121101?\nAnswer: 10011110121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 3449 divide 792973386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -634, -3, -126, -4 in descending order.\nAnswer: -3, -4, -5, -126, -634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*y + 15*y = 21*y + 45 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 133.32*-10\nAnswer: -1333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 38214577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(114)*-3 + -1*-2*sqrt(114))\/(4*5*(sqrt(6) + sqrt(24)\/sqrt(4)*-3 + sqrt(6))) + -1.\nAnswer: -17*sqrt(19)\/20 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 39, 536\/3, 4.\nAnswer: 3, 4, 39, 536\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 64304 and 64309 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-2\/5)*n)**(-2\/57)\/(n*n\/(n**(-1\/3)\/n*n))**11)**(-1\/20) assuming n is positive.\nAnswer: n**(7339\/5700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 115\/25 - 2\/(-5). Suppose a + 2 = t - 0*t, -j*t - 5*a + 20 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74505627 is divided by 200.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(65) - (sqrt(65)*2 + sqrt(65)))\/sqrt(5).\nAnswer: -2*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4469 and 27686.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4162766288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 79*j - 9*j - 13 - 8*j - 30*j - 6*j. Determine r(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -40 - -41. Let h = 1675 - 1732. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3597 is divided by 671?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9947 and 5488?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15737155.\nAnswer: 5, 7, 17, 26449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9314262 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1093 a factor of 8372007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2 = 5*q, 4*q - 2*m = 3*q - 4. Suppose q*r - 21 = 5*k + 4*r, -r = 4. Let s(i) = 3*i - 4 + 3 - 4*i. What is s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 511390 to the nearest ten thousand.\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -117782, -235501, -353220, -470939, -588658, -706377?\n\"Answer: -117719*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75799472?\nAnswer: 2, 7, 109, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96399?\nAnswer: 3, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -97066, -97064, -97062, -97060, -97058?\n\"Answer: 2*i - 97068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*a. Let g be (-1)\/(-2)*1*-2. Let q = g + -1. Sort -3, a, q in decreasing order.\nAnswer: a, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= 873\/613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31*q**3 + 309*q - 309*q + 0*q**3 - 2*q**3 + q**3 + (3*q - 2*q**2 - 3*q)*(-6*q + 3*q + 2*q) + 0*q**3 - q**3 - 4*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52196.17ug to milligrams.\nAnswer: 52.19617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 655 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -3*x - 1. Let p(h) = -13 + 18 - 4 + 3*h + 0. Suppose -6 = 3*g - 0. What is g*q(f) - 3*p(f)?\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 91, 188, 291, 400?\n\"Answer: 3*o**2 + 88*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 x when four letters picked without replacement from xyxaxwxxxxaxyxyyxaaw?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, 51, 0, -210 in decreasing order.\nAnswer: 51, 4, 1, 0, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.28, -2\/91, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/348978 and -55\/989958.\nAnswer: 48507942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*c - 7919 + 26*c - 50*c.\nAnswer: 2*c - 7919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-5)*4*1*(-1015)\/(-4060).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 20*h - 734 + 689, 5*n + h = -72 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 61*u**2 + 59*u**2 + 38*u**2.\nAnswer: 36*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1401901147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -6*i + 4. Let y(r) = 5*r - 3. Let w(z) = -3*v(z) - 4*y(z). Calculate w(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12131505 divided by -4?\nAnswer: 12131505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from ssysssyyyresysyyys.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert d339d (base 14) to base 15.\nAnswer: a0962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-7 + 10) - (-13)\/(455\/310).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (29\/(-87))\/(((-50)\/195)\/(-2)). Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -g**7\/72 + 55*g**4\/8 + 6*g**2 + 9. Let m(j) be the second derivative of a(j). Let p(y) = -5*y**2. Give p(m(b)).\nAnswer: -6125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 4*r + 4*r)*(-4*r**2 + r**2 + r**2) + (-281*r - 206*r - 241*r)*(2 - 2*r**2 - 2) - r**2 - 2*r**3 + 4*r**3 + 0*r**3.\nAnswer: 1460*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -5.67, -1, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 134924 - 134923.99999933649. What is o rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from onko.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + s + 6 = 0. Let t(v) = v - 1 + 9*v**2 - 20*v**2 + 7*v**2 + 9*v**2. What is the tens digit of t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 6:14 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3 + 156*z**2 - 68544*z + 3471552.\nAnswer: 2*(z - 84)**2*(z + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 99 - 49 - 51 - 2047*g - 2201*g**3 wrt g?\nAnswer: -13206*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -157*t + 610. Let g be c(-22). What is the greatest common divisor of 24 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 7*h - 16. Let v be k(4). Let q = -297 + 3863\/13. Which is the smallest value?  (a) q  (b) -2  (c) 4  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2572, 2606, 2642, 2680, 2720?\n\"Answer: a**2 + 31*a + 2540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**6\/30 - 441*u**5\/4 - u**4\/3 - 5*u**2 - 79*u. What is the third derivative of g(v) wrt v?\nAnswer: -24*v - 13230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((60\/384)\/(160\/576))\/(1 - 6\/(-3))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 30782\nAnswer: 1\/15391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -122 - -13322?\nAnswer: 13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-44)\/120 + (-4)\/30?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*a + 4, -4*o - 2*a = -24 + 14. Solve 5*w = o*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-10)*y**2)\/(y**(2\/7)*y**(-1\/2)) assuming y is positive.\nAnswer: y**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (71 - 7)\/4 - 1. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4910582.\nAnswer: 2, 127, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + x = -1, 2*f - 26*x = -23*x + 3. Put 5, -1, -2, 67, f in decreasing order.\nAnswer: 67, 5, f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.427547 minutes to nanoseconds.\nAnswer: 265652820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mddd when four letters picked without replacement from {f: 2, m: 5, d: 3}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 divided by -1140.\nAnswer: -73\/1140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/7 - 390*z**3\/7 + 37633*z**2\/7 + 10920*z + 5488.\nAnswer: (z - 196)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h + 0*h**2 + 0*h**2 - 2*h + h**2 - 2. Let o be s(4). Let w = o - -4. Solve -w*v = -7*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/10, 2\/7, 4, 0.3, -4\/569?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/((r*r**(6\/13)*r)\/r*r))*r)\/r)\/(r**(2\/21)*r) assuming r is positive.\nAnswer: r**(646\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 66 = -6*k - 2*f, 3*k + 38 = -2*f. Let s = 8 + k. Let x be (-378)\/405 - (-3)\/5. Put x, 5, 3, s in increasing order.\nAnswer: s, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f + 5. Let j be r(0). Suppose j*o + 61 + 4 = 0. Let n = -5 - o. What is the remainder when 30 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 4*q**2 + 58*q - 6. Let b be d(-6). Solve 0*p + b = -2*o - 4*p, -13 = -o + 2*p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from erver. Give prob of picking 1 v and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1273.586 - -1272. Let x = m + 1.6. What is x rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4542?\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2992273631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 22 = -3*r - 43, -3*k = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(2) + -1)**2 - 4*(sqrt(2) + 4).\nAnswer: -19 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 11:57 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 59 + -57. Suppose -3*i + g*b + 3*b + 689 = 0, b = 2. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.14 and 0.43.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-1088)\/(-1056) - 1\/((-15)\/(-10))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of 0*d**3 - 15\/448*d**8 - 1\/40*d**6 + 0 + 6*d**2 - 1\/8*d**5 + 0*d + 13\/140*d**7 + 3\/32*d**4. Determine f so that v(f) = 0.\nAnswer: -3\/5, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -455, -430, -379, -290, -151, 50, 325, 686?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-33076)\/26*(-133)\/28. Let l = t + -6041. Calculate the common denominator of 79\/20 and l.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -75, -55, -35, -15, 5, 25?\n\"Answer: 20*k - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-2\/5))**38)**(1\/4)\/(((b\/(b*b**(2\/3)))\/b*b)**(-28)\/(b*b*b*b\/b**(2\/3))**(1\/3)) assuming b is positive.\nAnswer: b**(-1067\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518352 is divided by 153?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 4*j. Let s = 6 + -11. Let b(q) = q**3 + 3*q. Let p(i) = s*b(i) + 4*l(i). Suppose p(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102305 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: In base 5, what is 411002122 - 10?\nAnswer: 411002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -1090293?\nAnswer: -1090292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1135124465 - -6?\nAnswer: 1135124504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -9)*117\/(-324)*-3*2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n**3 + 27*n**2 - 90*n + 6. Let c(l) = 6*l**3 + 55*l**2 - 180*l + 13. Let g(m) = 6*c(m) - 13*r(m). Factor g(z).\nAnswer: -3*z*(z - 3)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide (-242)\/(-1) - (0 + -9 - -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -46?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*l = -441*l + 4356 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 39*j**2. Let v(p) = 20*p. Give v(q(y)).\nAnswer: 780*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 2*l**2\/9 - 146*l\/9 - 148\/9 = 0.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 7*a + 107. Calculate n(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.85577 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1115.805 to the nearest ten.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*q**3 - 4*q**3 - 13*q**3 - 6*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.6043763 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - o - 529, 2*o = -j + 87 + 80. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/5 + (3 - 2). Let c = 3 + -3. What is the nearest to c in h, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -862*k**2 - 63616380 + 63616380 as h*k**2 + p*k + r and give h.\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {t: 1, f: 2, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 44289781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.641842kg to micrograms.\nAnswer: 4641842000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239 = 19*k - 2193. Let j be k\/(-48)*6\/(-4). Solve -5*p = -4*d + 11, 0 = -0*p - j*p + 3*d - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1749356 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -148 - -218. Suppose 5*v + k = 2*b, -4*v + 66 = 2*b - 7*v. Let j = -5 - -15. Calculate the greatest common factor of j and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -5*d + 31, -4*p + 3*d + 31 = -3*p. What is the remainder when p is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 531335 is divided by 644?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of 0 + 0*w**3 - 1\/10*w**5 + 0*w**4 - 9*w - 5*w**2. Differentiate a(i) with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6 or -1121?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2565?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 21 = -19. Let w(o) = 3*o + 32. Let v be w(s). Suppose 5*b - v*d = 461, -5*b + 3*d + 231 = -228. What are the prime factors of b?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11057992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7b9 (base 13) in base 10?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -751 + 467. Let p = 284.3 + j. Which is the third smallest value?  (a) p  (b) -0.6  (c) 5  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 35  (b) 0  (c) 8\/525\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -75, 796*k - 800*k + i - 4*i - 87 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 35487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 + (-30)\/24 + -10. Let g(p) = 2*p + 18. Let r be g(-15). Let x be (-1)\/4 - 51\/r. Sort n, 1, x, 3 in increasing order.\nAnswer: n, 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1109b70a - 5?\nAnswer: 1109b705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*s + 4*s**3 + 2*s**2 + 1\/2*s**5 + 5\/2*s**4.\nAnswer: s**2*(s + 1)*(s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28912 plus 3325.3607?\nAnswer: 32237.3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/16, 4, 0.12?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -43*y - 60*y + 20394. Calculate the least common multiple of y and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -378.073+0.2\nAnswer: -377.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 54 + -32. Suppose -2*h + 0*h = -f. Factor 5*o**4 - 3*o**2 + 9*o**3 + h*o**4 - 4*o**4.\nAnswer: 3*o**2*(o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 41\/((-10045)\/(-42))*15\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of -b**4\/4 - 11*b**3\/3 - 5*b**2 + b + 29. Let a be l(-10). Let u(p) = -9*p**3 - p**2 + p - 1. What is u(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 801, 1307, 2151, 3333, 4853, 6711?\n\"Answer: 169*v**2 - v + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4296 + -4291. Suppose 20 = -j - 3*j. What is the fourth smallest value in t, 4, 1\/3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 4*f + 18, 7 = -v - 2*f + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1 + ((sqrt(1573)*-1*-1 - sqrt(1573)) + sqrt(52)\/((sqrt(4) - sqrt(64))*-4))*-4)**2.\nAnswer: -2*sqrt(13)\/3 - 14\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -309917, -619839, -929763, -1239689, -1549617?\nAnswer: -1859547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 381 - (-30)\/(7 - 2) and 473.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41\/(738\/24)*(-3)\/11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -9*a**3 + 15*a**2 - 32*a + 43. Let w(c) = -3*c**3 + 5*c**2 - 12*c + 14. Determine -3*s(k) + 8*w(k).\nAnswer: 3*k**3 - 5*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002418 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 11:18 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/(-28) + (-2)\/(-7). Is -1\/11 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -12389000077?\nAnswer: 12389000077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 232223220221 (base 4) to base 2\nAnswer: 101110101011101000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -454.69+-2864\nAnswer: -3318.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of 1\/6*z**4 + 1 - 1\/3*z**2 - 2\/3*z + 2\/9*z**3. Find u such that g(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -548 + 572. Is q not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10854 and 5762.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of j**6\/24 - j**5\/30 + j**4\/12 - j**3\/6 + j**2. Let o be b(1). Suppose 0 = -o*w + 12 + 8. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/7 + 7990*p**2\/7 - 5716*p - 48000\/7.\nAnswer: 2*(p - 6)*(p + 1)*(p + 4000)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(891) - (-2*sqrt(891) + sqrt(891) + -1)))**2.\nAnswer: 216*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 5342)\/((-13)\/(-1339)). Let i = h + 160636139\/292. Let n = -1\/73 + i. Do n and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-4) + 45\/22. Let r = -1011.8 + 1012. Let q = -70 - -73. Which is the third smallest value?  (a) d  (b) r  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -2*w - 4*m + 18, 0 = -m + 5. Suppose 0*x = -w*x + 24. What is the third derivative of 3*y**2 - 5*y**2 + 0*y**x + y**6 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 - -18. Let p(u) = -u**2 - 5*u + 4. Let v be p(n). Let s be (12\/5)\/((-4)\/v). What is the highest common divisor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 13*j + 11. Let q(b) = -5*b - 4. Let s(w) = -3*p(w) - 8*q(w). Let t = 13 + -8. Let g(x) = 4*x + 3. Let y(l) = t*s(l) - g(l). Calculate y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -65616, -131239, -196862, -262485, -328108, -393731?\n\"Answer: -65623*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus 0.444?\nAnswer: -0.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2529 + -2526. Let h(j) = -j**2 + 6*j + 8. Let u be h(6). Solve x + 0*m - u = v*m, -5*m = 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 31287 + -3?\nAnswer: 31284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 127441 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-155)\/(-2)*(-8)\/(-4). Let r be i\/2 - 7\/14. Let b = -27 + r. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13804491 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, w: 2, g: 1}. Give prob of sequence wwg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*(1 - 2) - (327 + 0). Let x = 147 + -145. Find the common denominator of 23\/4 and (x\/8)\/((-5)\/b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 943 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (273*y + 7 - 284*y - 68)*(4*y**3 - y**2 + y**2) as a*y**3 + z*y**2 + g + b*y + p*y**4 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1002 + 10021?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 17083167943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10942)\/6)\/((-17)\/51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -34. Let m(g) = -18*g**3 - 4 + 20*g**3 + g - g**2 + g**d + 3*g**2. Is m(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**2\/3 - 497736*p + 92902922136 = 0. What is p?\nAnswer: 373302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1570 - 2700. What is x rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3 = -j, 0 = -j - 3*p - 0*p + 13. Let n = 47.991 - 49. Let u = n - -0.009. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 61*s**2 + 232*s + 224. Let n be k(-57). Let f = 6.9 + -7. Which is the third biggest value?  (a) 4  (b) n  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1)**(-25)*(w*w\/(w**1\/w)*w)**(-22) assuming w is positive.\nAnswer: w**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.04, -1, -4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4096*u - 39044 = -4550*u for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5545 - -194161\/35. Let x = -13\/5 + g. Let f = -1 + 1. What is the third smallest value in x, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*x + 298*x - 3*q = -39, -2*x - 2*x + 16*q = 164 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -177*t - 475. Does 26 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1042270 is divided by 1797?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - -1 - (-3 - (-28)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + c + 16, -p - 5*c = -0*p + 14. Let u = 59 - 58. What is the highest common divisor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*j - 58 = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 8:01 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1609 is divided by 304?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92021850 and 13598?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -59, -434, -1447, -3416, -6659, -11494, -18239, -27212?\n\"Answer: -53*z**3 - z**2 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from cwztp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3400065993 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 4*r**2 - 3*r - 6. Let m be u(4). Let a(x) = 2*x + 28. Let v be a(m). Let s be v\/(-14) + 495\/77. Solve -1 = 2*g - s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 5:43 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/19?  (a) -8\/3  (b) -3\/8  (c) -1\/7  (d) 0.447  (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 41100 = 6*l - l, -4*l = 2*z - 16434. Suppose j - 2*q = z, 2*j = 3*q - q + 16440. Suppose 2008 = 5*r - j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22039333 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (2*(-1 + sqrt(1008))*-3)**2)*4.\nAnswer: -3456*sqrt(7) + 145280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.62*58\nAnswer: -35.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*j - 5*j - 3 - 8*j**2 + 7*j to the form y + b*j**2 + k*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 + 926\/(-2))*-2. Suppose 6*v - 914 + q = 0. Factor 3\/2*a + v + 3\/4*a**2.\nAnswer: 3*a*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**5 - 16815*t**4 - 11141395*t**3 + 5275502675*t**2 - 10517513880*t + 5253169420 = 0. What is t?\nAnswer: -1838, 1, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from swshsxws. Give prob of picking 2 w and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1664*s - 2\/3*s**3 + 3072 + 196\/3*s**2.\nAnswer: -2*(s - 48)**2*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 92.5 + -93. Sort -1, 0.06, u in increasing order.\nAnswer: -1, u, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -31, 5, -1 in increasing order.\nAnswer: -31, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 8 + 1 - 2*l. Let h be o(8). Let v be (-2)\/3*6\/(-2). Solve -m = 2*r + h, -r - v*m = r - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 1843 = 5*q. Suppose 4*b + 1 = -3, 2*l = 5*b + q. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - z - 6. Let b = -2 + z. Suppose a - 2*p - 3*p - 7 = b, 5*a + 4*p = 6. Sort 5, a, 3.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 18737850.\nAnswer: -18737855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16\/7?  (a) -0.4  (b) -0.1  (c) 0.045  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 282816 or 282815?\nAnswer: 282816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 3*o + 36. Suppose o = -10*r - 4. Let c be r\/4 + ((-1125)\/(-20))\/9. Solve -2*v + c = -0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -1. Let d = -1 - w. Let s be 20\/5*(-2)\/(-2). What is the closest to -2\/7 in s, 3\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 4319 + 4308 = 3*o, -2*s + 2*o + 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800497369?\nAnswer: 7, 1187, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -39*g**3 + 1. Let n be j(-1). Solve 2*i + 17 = 3*i - 4*k, 5*k + n = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 5*p + 252. Let h = 31 - p. Solve -6 = 2*y, -h*y - 21 = -3*g + 7*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -3, -0.17, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -4*p - 4733, -5*p - 4*x - 1002 = 4922. Is p != -1181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 13*q + 13. Suppose -2*h = -6, 2*v + 2 = -2*h + 32. List the prime factors of m(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 2, j: 5, w: 2, c: 3, e: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 107*o + 49. Let f be r(11). Is f + (4 + -1)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126265 is divided by 403.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 4*m = -12, -17 = -4*p - 116*m + 121*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2. Let k(i) = 4*i**3 - i**2 + 2*i - 1. Let j be k(1). Suppose -4*b - j + 8 = 0. Let t(h) = -3*h - b + 1. Calculate t(q(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + f**2 - 3*f**2)*(0 + 0 - 1) + f**2 + 34*f**2 - 115 + 115.\nAnswer: 37*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 1198251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*f + 137*f + 137*f = 126, -f = 2*v + 48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - t + 2. Let w(x) = 5*x**3 + 3*x**2 - 3*x + 8. Let a(d) = 6*p(d) - w(d). Give a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggpgpggppgpgg?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - h + 1. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100055 is divided by 25000.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**6*w*w\/((w*w**(2\/5))\/w)*(w*w*w**(-4)*w)\/w*(((w*w**(-1\/5))\/w)\/w)\/w assuming w is positive.\nAnswer: w**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 - -13. Let n be (-10)\/5 - (27000 - 2)*b. What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/140696 and -23\/114.\nAnswer: 8019672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29581230 and -3?\nAnswer: -88743690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19323*t**2 - 34221*t wrt t.\nAnswer: -38646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*s - 9*s - 18*s + 2*s.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*o = -4*o + 16, -2*j - 17 = -3*o. Let z be (-12)\/30 + j\/(-10). Is (51 - -1) + (1 - z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 3  (c) 0  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwcwww?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1235d7 (base 16) to base 3.\nAnswer: -2020122002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 - -1527c?\nAnswer: 15275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**3 + 8*j**2 + 2*j + 7. Let p be a(-4). What is the common denominator of p\/((-6)\/4) + 49\/66 and 21\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6967.555 days in weeks?\nAnswer: 995.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-9) - ((-1876)\/18 - 0). Let y = w - 95. Solve 4*k + y = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d - 2*d = 160 - 160 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-476)\/2618 - ((-40)\/(-22) - 0). Put 3, j, 6, -32 in decreasing order.\nAnswer: 6, 3, j, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/6*-1*(-198)\/(-495)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*d + 67*d - 50025 = 420*d for d.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2a82 - 62?\nAnswer: 2a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -32, -117, -270, -509?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 34104658 a multiple of 1153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17 + -18. Let v = -10248 + 10248.8. Which is the nearest to g?  (a) v  (b) 1\/9  (c) -0.1  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144584 divided by -72292.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 0*d**2 + 2*d**2)*(22*d + 3 - 8*d - 11*d).\nAnswer: -3*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, y: 7}. What is prob of sequence yuuy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -3.2. Let g be 4\/((-12)\/27) - 0. Let n be 6\/g*6\/12. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of -3*u**5\/5 + 11*u - 10. What is the first derivative of s(j) wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z - 15. Let r be i(-10). Solve -s - s + 6 = 0, -19 = r*j + 2*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*l = 2*r + 304, -259*l + 3*r = -264*l + r + 96 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2724799 is divided by 800?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 252 divide 895104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 + 12*o - 17. Let c = -3256 - -3263. Give q(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 352\/5  (c) 1\/4  (d) -3\/2  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence le when two letters picked without replacement from {p: 6, z: 2, l: 2, e: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - (-18)\/(-4)) + (-359)\/(-2). Let v = 390 - f. Let p = v - 626\/3. Is 0 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, 0.5, 556, 0.4?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -6*j**3 + 9*j**2 + 5*j. Let m(o) = 6*o**3 - 8*o**2 - 4*o. Let b(x) = -4*f(x) - 5*m(x). Find the third derivative of b(a) wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 7. List the prime factors of j\/(9\/(-75)) - 2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3.941085 years?\nAnswer: 0.3941085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1297 - 1296. Which is the nearest to v?  (a) 228\/11  (b) 2\/9  (c) -0.5  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 - 197. Let h = f - -68. Let p = h - -32.4. Round p to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 30*u**2 + u + 30. Let i be m(-30). Suppose 225*w - 231*w - 12 = i. Let l(p) = 17*p + 5. Let h(n) = -8*n - 2. Determine w*l(k) - 5*h(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s\/s**(-1\/15))\/s*s**(-28)\/s)\/(s\/(s*s\/s**(-2))*s*s*s**17) assuming s is positive.\nAnswer: s**(-644\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/333 and 13\/3167.\nAnswer: 1054611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -967, -947, -915, -871, -815?\n\"Answer: 6*j**2 + 2*j - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Solve b - m = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 224*u - 21. Let a be x(6). Let g = -446 + a. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 8:50 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -61815, -63090, -64375, -65676, -66999?\n\"Answer: -o**3 + o**2 - 1271*o - 60544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 1\/3*m**3 + m**2 - 2*m + 1\/12*m**4 + 0 + 1\/20*m**5. What is r(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-45)\/(-6) - (-3)\/(-2). Suppose 0 = -4*q - 2*x + 22, h*x - 28 = -q + x. Which is the second biggest value?  (a) q  (b) 3\/2  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3382?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 7868\/(-490) - 5\/(525\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -125272*k**2 + k - 2 - 2*k - 132228*k**2. Let l = 1 - 3. Let u be c(l). What is u rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.06 - -0.06. Let u = 3 + 1. Let g = 3.8 - u. Which is the nearest to o?  (a) g  (b) -0.5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 10403 - 10622 = 0. Calculate the remainder when h is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 7 + (-1 + 0 + 3)*(5 - 4 - 3) - 5 + 3 + 4)*(-20*q - 41*q - 203*q)*(4 - 4 + 1 + (-1 + 5 - 2)*(3 + 1 - 2) + 1 - 1 - 1)*(0*q**2 + 0*q**2 + 2*q**3).\nAnswer: 8448*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5004249 by -3.\nAnswer: -1668083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -333 - -202?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/3 - -2) + 0. Is (1 - -2 - z)*-39 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8490)\/(-5943))\/(2\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4*v**2 - 12*v - 10. Let h be t(10). Let a be (-216 + 0\/(-5))*2\/(-4). Suppose 7*s - h = a. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*l*s**2*t - 5402*l*s**2 - 3*l*s + 2*s**2*t - 2*s*t - 8*t wrt t?\nAnswer: 16*l*s**2 + 2*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 3:28 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 4*z**2 - 4*z. Let n be m(-3). Suppose 0*u = -3*u - 6, -3*u + 12 = n*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*i**3 + 37*i + 34*i - 71*i - 7*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -3 + -5 + 0 - (33 - 30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28156 by 8555.\nAnswer: -28156\/8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 3230688?\nAnswer: 6461376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-32341)\/(-3) + 2\/3)\/1. Suppose -r - f + 5386 = 0, -r = -3*r - 5*f + b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2)\/(d**(3\/7)\/d)*((d\/(d\/(d\/d**(-2\/5))))\/d)\/(d*d**(-4)) assuming d is positive.\nAnswer: d**(69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104180?\nAnswer: 2, 5, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6*c**2 - c. Let b be 3\/(-2)*24\/(-9). Suppose -r + b = 3*r. Determine k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + 0.2. Suppose 0 = 6*i - 10*i + 8, 2*i = 4*l - 704. Is l at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -114378 and 8?\nAnswer: -915024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -8*v + 7. Let w(l) = -4*l + 3. Let d(x) = -3*n(x) + 7*w(x). Let u(a) = -6*a. Calculate u(d(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 7 + 6 + -13 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 115*x**3 - 38*x**2 + 38*x - 1. Calculate the remainder when 2391 is divided by d(1).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 757, 3, 5, 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1502 and 25907?\nAnswer: 38912314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.39667 millilitres in litres?\nAnswer: 0.08139667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1045848 = -134*t + 1345918. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21088231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11204300 - -10?\nAnswer: 11204310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 4*y**3)*(11*y**2 - 11*y**2 + 16*y**2).\nAnswer: -64*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 1 = 44. Calculate the remainder when (148\/1)\/(2658\/3987) is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3497315 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 646384 and 4616704?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.088 to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4011814034 - 0.06?\nAnswer: 4011814033.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 98*g - g**2 + 2 - 12*g**2 + 15*g**2 to the form c*g**2 + u + h*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5*(2 - 6\/5). Suppose c - 200 = -4*b - 32, 0 = -l*b - 4*c + 156. Suppose -2 = -9*z + b. Solve -9 - 7 = -2*i - z*o, -2*i - o = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 9. Let t be r(-14). Suppose 14 + 11 = -t*s, -s - 377 = -3*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 1:55 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 348*x - 2 - 15*x**2 + 12*x**2 - 1 + 4*x**2.\nAnswer: x**2 + 348*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 3, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - q, -q + 2*q = -3*c + 5. Suppose c + 5 = o. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -260, -111, 92, 349?\n\"Answer: 27*d**2 + 68*d - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t**2 - 8*t**2 + 100*t**2.\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 67 - 109 = 0. Let h be (43 + -1)*m\/33. Let j = 141 + h. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -237 - -240. Suppose -3*w + 15 = m*f, 8*f = 13*f - 5. Solve 0 = 8*u - w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5150 = -2*z + 2*o, -22*z + 19*z = o - 7709. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.7 - 7.6999435. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -29.61 + 26.8. Let n = 3 + p. Let a = n - 0.39. Put 0, 0.5, a in decreasing order.\nAnswer: 0.5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((-1*sqrt(627))\/sqrt(11))\/(sqrt(3) + -3*(sqrt(3) + sqrt(75) + sqrt(3))) + -5 + 2.\nAnswer: -1 + sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 11\/(-3) + (-6 - -10). Let w = -696 + 699. Factor 5\/3*s**4 - a*s**2 - 2*s**w - 1\/3*s**5 + 8\/3*s + 0.\nAnswer: -s*(s - 2)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 + 7. Let g = 25 - 323\/13. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 15291108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + ((-20)\/(-30))\/((-4)\/(-1518)). What is the greatest common factor of 68 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-9)*i*i)\/i**2)\/(i**5*i*i**4)*(i*i**(1\/2)*i)**(4\/3)*i**(-2\/5)\/(i**(-5)\/i) assuming i is positive.\nAnswer: i**(134\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1121 is divided by 401?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 10579 = -29814. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 5. Let k(z) = z**2 + 10*z + 4. Let q be k(r). Calculate the greatest common divisor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 2*b = u - 14, -2 = -2*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f - 988 = 3*f. What is the remainder when f is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 22 + -10 + -34?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.490094 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3 - 5\/(-2)). Let n(a) = l*a - 7 - 7 - 1. What is the units digit of n(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44.1324 - -1.3676. Round z to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p**5\/2 - 5*p**4\/2 - 12*p**3 - 2*p**2 + 16*p = 0. What is p?\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, t: 5, j: 7}. What is prob of sequence njtj?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 368 = -3*k - k, -5*t + 110 = k. Let s = 36 + -32. Suppose -s*c = -6*c + k. What is the highest common divisor of 30 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c**3 - 2*c**2 + 2*c. Let a be l(-2). Let b be (-4)\/(-24) - 2\/a. Solve 3 = -b*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -223 + 229. Suppose -13*x = -10*x - 2*i - c, -3*x - 5*i - 15 = 0. Solve x*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5421c (base 13) to base 16\nAnswer: -25194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -4*h**2. Let v(p) = p**2 + p - 7. Let x be v(3). Let y(s) = -x*s**2 + 7*s**2 - 5*s + 5*s. Determine l(y(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/(-42))\/((-2)\/7). Suppose 0 = m*b - 5*b + 15. Suppose 3*o - 18 = -f, -b*f + 2*o + 4 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9778*c*r**2*u - 3*c*r*u - 2*c*r - 91*c*u + 2*c + r**2*u + 2*r**2 + 4*r*u wrt r.\nAnswer: 19556*c*u + 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -385, -4, 2, -1 in ascending order.\nAnswer: -385, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, l: 9, c: 1}. What is prob of picking 3 h and 1 c?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(45266\/(-22636) + 2). Let m be (-1)\/(-2) + f\/4. Let g = -21830 + m. Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 7 + 10 = -5*d, 2*v = -2*d + 22. Let u(i) = i - i**2 - 8 - v + 19 + 7*i**3. Determine u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 8*f**2 - 8*f - 10. Let q be c(7). Let o = -15 - q. Solve -5*j = 25, -5 = -3*h + 2*j + o*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2325\/(-150)*5*1*-2. Is f not equal to 154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1 and 15146275120?\nAnswer: 15146275120.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (14671 - -2)*2\/(-16). Let i = 1840 + o. Let g = -20823 + 83275\/4. Find the common denominator of i and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 11100010101?\nAnswer: 11100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i - 2*i - 3*i - 14 = -4*c, 0 = -c + 59*i + 126 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**2 - 3*o**3 + 2*o**2 + 12 - 9*o**2)*((o - 5 + 5)*(-3*o + 3*o + o) + (11 - 9 + 8)*(o**2 + 0*o + 0*o) - o**2 - 3*o**2 + 5*o**2).\nAnswer: -36*o**5 - 36*o**4 + 144*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Is 53629957621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -169 - -89. Let q = r + 82.3. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27.85 + 28. Let d = w + -1.15. Which is the second biggest value?  (a) -1\/3  (b) -0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 1 - -1 - (5 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of 25*b**2\/2 + 3. Let s(h) = 1. Let i(y) = -2*y**2 - 6. Let q(g) = i(g) + 6*s(g). Give r(q(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243*r - 176 = -358*r + 1026. Determine w so that -2\/3*w**3 - 20\/3*w**r - 64\/3*w - 64\/3 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 4, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7652.59 + -7724. What is t rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-16) - (-3)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.515357 litres?\nAnswer: 5515.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 62 - 66. Which is the biggest value?  (a) -1  (b) m  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, r: 4, b: 6, o: 4, g: 3}. Give prob of picking 1 b, 1 a, and 2 g.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 48*k**3*m + 1218*k**3 - 14085*m**2 - 2595 wrt m.\nAnswer: 48*k**3 - 28170*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -147*m + 30. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 206\/2369 - 238\/92. Let i = -0.049 - -1.049. What is the second smallest value in i, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136 divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001 + -50.806?\nAnswer: 950.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9409840 and 34408?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4376 - 2572 + 725 = -889*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by -8.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4300*a + 2197*a + 2100*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -303 - -407. Suppose 5*p = -2*a + v, -3*p + 5*a = -6 - 44. Suppose 3*c = 6*c + 3*u - 15, -3*u = 2*c - 10. Solve -c*t + 0*t = -p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 48 - 41 - (-262)\/(-16) and (-1)\/(-54)*(-417)\/10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314897 is divided by 2441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p**2 - 10*p + 11. Calculate d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -11. Let x be 6\/k + (-126)\/(-4). Suppose 2*o + x = 135. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 3*u - 0*u - 9, 5*u = -5*f + 5. Suppose 0 = -3*t + 17*o + 21, -13*o + 15*o - 78 = -3*t. Is f greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18661 divided by -2.\nAnswer: -18661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -65 + 106. Let l = s - 25. Suppose -4*h + 2*y + l = -0*y, 4*y = -16. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4586977 is divided by 139?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from avvvgagawy. What is prob of sequence ayw?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 44171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 6. Solve 0 = 4*r, -4*g + r + y*r = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3227801.\nAnswer: 3227801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11955327 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 14656704 divided by -6\nAnswer: -2442784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 325024232 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2905 - 2551. Calculate the remainder when f is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1111 - 1104 + 2215 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 6 - 1012*z**2 + 1048*z**2.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of m**4\/4 + 2*m**3\/3 - m**2\/2 - 2*m + 3. Determine w(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 3.1447  (c) 0.11  (d) -6  (e) 0.3  (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10845*a**3 + 775*a**3 + 2154*a + 4 - 3 wrt a?\nAnswer: 69720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1317 - -2845. Does 54 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**4 - 66*x**3 + 1068*x**2 - 3454*x + 2451 = 0.\nAnswer: 1, 3, 19, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5091*z**2 - 3*z - 2. Let x(h) = 5*h. Give x(g(q)).\nAnswer: 25455*q**2 - 15*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -11*u**3 - 68*u**2 - 409*u - 2382. What is g(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 122571 divided by 210\nAnswer: 40857\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 0*y + 5*p + 16, -2*p - 8 = 0. Suppose 0 = -y*l + 3*l. What are the prime factors of 3 + (l\/2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.9 + -0.9. Let z = -30.474 - -30.454. Which is the closest to 2\/5?  (a) f  (b) 1\/4  (c) z  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 28 = i, 4*i = -2*a + 5*a + 127. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -44666, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, -44666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/48*12\/9*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*z = 21*z - 24. Does 12 divide 70 - (9\/z - 14\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 142, 178, 240, 334, 466, 642, 868, 1150?\n\"Answer: l**3 + 7*l**2 + 8*l + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - (-8)\/10)\/((-8)\/320). Let k = s - -29. Let o = k + 5. Solve 3*m - 12 = 0, -o*v - 2*v = -4*m - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((-6)\/(-87))*-6. Let i(c) be the first derivative of 4*c**6 - 94*c**3 - 7 + d*c**3 + 24. Find the third derivative of i(u) wrt u.\nAnswer: 1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 3068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.07689 times -0.9?\nAnswer: -2.769201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p**2 - 3*p**2 - 5*p**4 + (3 - 3 + 2)*(4*p**4 + 3*p**4 + 5*p**4).\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -85*x + 525. What is u(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*6*(sqrt(320) - 3*sqrt(320))**2 + 3 + ((-3*sqrt(180))**2 - sqrt(180)) + -4)*-5.\nAnswer: -123295 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11211 and 843?\nAnswer: 3150291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/20 - (-2115)\/25850. Let p be 10\/12 + (-4)\/6. Sort n, p, -5, 1\/8 in decreasing order.\nAnswer: n, p, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*95*12\/(-36). What is the greatest common factor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 2 = -3*c + 2*k, -2*k - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 415167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -0.876.\nAnswer: -4.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (53\/23426*52)\/(-2) + ((-2)\/544)\/1?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-2))\/(2\/(-12)). Suppose 68 = 2*b - 19*b. Let f be 2\/r*9\/b. Sort 5, f, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*o - 14, 3*o - y = 2 + 1. Solve 2 = o*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 400608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5 + (-14 - (-2 - 5)). Let q(z) be the first derivative of z**3\/3 + 3*z**2\/2 + 2*z - 2. Determine q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 467130128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*z - 52. Let u = z - -87. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n - 25. What is k(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -92 - -185. Let p = -2314.9 - -2414. Let i = h - p. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 3)*157\/(-1727).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/48 and ((-84)\/27 - -2)*(-15)\/(-56).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -144 (base 5) to base 10\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 244  (b) -5  (c) 3\/7  (d) 2\/11  (e) -2.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 1208 = 1187*f - 1189*f, f - 5*g - 572 = 0. Calculate the smallest common multiple of f and 1224.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-1) - -1) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 59.3428, 5, -5\/2, 0.1 in decreasing order.\nAnswer: 59.3428, 5, 1, 0.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 422*d = 370*d - 520 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.677 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 - 5 = -8*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/12)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -627 - 1438 = 7*y. Let t = y - -136. Is t at least as big as -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 63 = 13*o, -84158*h - o + 63 = -84163*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9897\/8 - 1239. Suppose 130 - 61 = -t. Let u = t - -68. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97 - -100. Suppose -p + 5*s - 33 = z*p, 0 = 2*p - 4*s + 24. Which is the biggest value?  (a) 0.4  (b) -0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 + -13 + 7 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389885 is divided by 117?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*q - t - 3 = 38*q - 88*q, 3 = 2*q - t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 - 7.6. Let d be (4 + -2)\/(630\/(-105)). Let t = 69\/2 - 33. Put d, i, t in increasing order.\nAnswer: i, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -30, 1\/12, 0.2, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 1:27 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -63*j + 33. Suppose 5*b + 2*g = -2*g - 177, 4*g - 153 = 5*b. Let z(o) = -8*o + 4. Calculate b*z(i) + 4*r(i).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/9 - (-4)\/(-3). Let y = b + 13. Let l = 46 + -15. Calculate the remainder when l is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -3 + (4 - 1) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(1\/44)\/x))\/(x\/((x\/((x*x**(-2\/39))\/x))\/x)))\/(x*x**(-9))**(-14) assuming x is positive.\nAnswer: x**(-190427\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 1)*(-15)\/(-10). Suppose j*b - 13 = -7. Factor -b*q**3 + 13*q**2 - 11*q**2 + 0*q**3.\nAnswer: -2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in 37, 3\/7, -1\/3, 4, -0.4, 117.96?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, v: 17}. Give prob of picking 4 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 99683201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -59 - -232a416?\nAnswer: 232a39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*p - 112 = 39*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203022022 + 1102?\nAnswer: 203023130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a - a - 5*a)*(3 - 2 + 2) + (0*a - a + 2*a)*(4 - 3 + 1) + 0*a + 0*a + a + 0 - a + 0.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zmbw when four letters picked without replacement from zbqqwbm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**(-1)\/b*b)**(2\/29)\/(b**(-2))**12)**(-41) assuming b is positive.\nAnswer: b**(-28618\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/3919560 and -67\/39160.\nAnswer: 43115160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m**5\/3 - 6*m**4 - 22*m**3\/3 + 46*m**2\/3 + 22*m + 20\/3 = 0.\nAnswer: -1, -1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of c**9\/168 - c**5\/15 + 3*c**2\/2 + 5. Let p(s) be the second derivative of j(s). What is the third derivative of p(l) wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(-46) + (-3)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -915, -1827, -2735, -3639, -4539?\nAnswer: -5435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 5*p - 4. Let r(k) = k**2 - 4*k + 3. Let q(m) = -4*r(m) - 3*u(m). Let v(z) = 2*z**2 - 2*z + 1. Let g = 49 + -46. Calculate g*q(n) + v(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*t - 2 + 2 + 83*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11101111110 (base 2) to base 4\nAnswer: -131332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1\/3))**(10\/11)*(m*m**(1\/5))\/m**6*m**(-2\/7)*m*m**2*((m\/((m*m**(-1))\/m))\/m)**(-28) assuming m is positive.\nAnswer: m**(-33349\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 89\/3. Let g = 171.7 - 172. What is the smallest value in g, r, -0.1, 8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48704?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*z**5 - 253*z**4 + 3*z**3 - 19822*z**2 wrt z.\nAnswer: -180*z**2 - 6072*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -3, 0.4, 153 in ascending order.\nAnswer: -3, 0.2, 0.4, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1062977 - 222508\nAnswer: -1285485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3023, -126, 278 in descending order.\nAnswer: 3023, 278, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.224140454 to three dps.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l**5 - 75*l**4 + 220*l**3 + 620*l**2 - 960*l - 1280 = 0.\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 17 = i, i = -x - 2*i - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000062333 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1961279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12552 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kukauaukkkukuuk. What is prob of picking 1 u and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -r**5\/60 + 5*r**4\/24 - 7*r**3\/6 - 8*r**2. Let b be o(4). Do b and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 250*d - 5986. Calculate v(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/278541  (b) 0.1  (c) 2\/187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112185, 224317, 336451, 448587, 560725?\nAnswer: 672865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 3 = -5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (((-744)\/32)\/31)\/(4\/((-96)\/11))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 6 + 6 - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g + 1. Let y(m) = -m**2 - 7*m - 1. Let q be y(-5). Suppose 0 = -k + 4*j - q, -2*k - 3*j + j = 8. Give f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.41 and -1121.72.\nAnswer: 459.9052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and -0.3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((2*-2*sqrt(80)*-5)**2 + 2).\nAnswer: -32002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 5. Suppose x - 4*r - 8 = 0, -4*x + 164 - 60 = a*r. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 21 = -4. Let d(x) be the first derivative of 1 + 1\/3*x**3 + 6*x + 1\/2*x**2. Let m(j) = -1. Determine r*m(s) - d(s).\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 2. Let w be t(0). Let d = -89\/2 - -43. Which is the nearest to w?  (a) d  (b) -1\/2  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1584125762?\nAnswer: 2, 43, 18420067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 6:25 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10020000 - -101101?\nAnswer: 10121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 1 = z. Let v = -261\/62 + 84\/31. What is the second biggest value in 0.5, z, -2\/11, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = b - 2*b + 7, b = 5*a + 13. Let v = 30 + -28. Suppose v*i + 2*i - 20 = 0. Solve b*h - i*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(3388\/(-11))\/7*(-3)\/12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1\/1312?\nAnswer: -1\/1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 197.6 - 179. Let n = j + -17. Let l = 0.6 - n. Put l, -2\/17, -2 in descending order.\nAnswer: -2\/17, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3 = -2*u - 1, 28 = 4*u - 5*x. Suppose p + 5 = f + f, u*p = -f. Let j(a) = 7*a**3 + a + 2*a**2 + 0*a**3 + 0*a**2. Calculate j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -35 * 48.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, d: 2}. Give prob of sequence bdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 157*y**5\/5 - 3*y**4\/4 - 1156*y**2 - 2153. Find the second derivative of n(o) wrt o.\nAnswer: 1884*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ijjjjjjjijjjj. Give prob of sequence jiji.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -550 + 548 + 25*c - 25*c**2 - 16*c in the form i + w*c + q*c**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121 - -1333221?\nAnswer: 2000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**4 + 21*t**3 - 103*t**2 - 66*t + 56 = 0?\nAnswer: -14, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7 + (-161)\/(-35))*-5. Solve -6*k + m = -18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/7 + 123*t**2\/7 - 267*t + 959.\nAnswer: (t - 7)**2*(t + 137)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, e: 4, f: 2}. What is prob of picking 1 f and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195 = -4*q + 3*d + 227, 4*d + 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33301185 is divided by 4162646.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - -22 - (-4)\/(-2). Suppose -f - 5 = 4*k - 3, k = -5*f - 29. Let q = f + p. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0842125 times -802?\nAnswer: -67.538425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22800 divided by 5700.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10.2 in 24\/13, 30, 3?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*((k\/(k**(4\/9)*k*k))\/k)\/k)\/(k\/(k**8*k)))\/(k\/k**1)**46)\/(k**10\/(k*k**(3\/5)))**14 assuming k is positive.\nAnswer: k**(-5042\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 355 = h + 4*h - 5*m, 2*h - 134 = -2*m. Suppose 11 + h = 4*t. Calculate the remainder when 25 is divided by 3 - 3*t\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135286452 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -323*b**5\/20 - 26*b**4 + 136*b. Find the third derivative of k(n) wrt n.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 17*s + 17. Let g(m) = 35*m + 34. Let w(q) = 7*b(q) - 4*g(q). What are the prime factors of w(-5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(882\/(-48)))\/((-2)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 268 - 1672?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p**(8\/11)\/p)\/p))\/p*p*p*p*p*p*p**(-5) assuming p is positive.\nAnswer: p**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -aa7 (base 16) in base 10?\nAnswer: -2727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - r**2 - 5*r + 2. Let d be o(3). Suppose 7 = d*h - 13, -4*w - 5*h + 36 = 0. Solve 2*b = -2*b - 5*z + 15, b + w*z - 12 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (13 - 8 - 23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 74 times 141134\nAnswer: 10443916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 2*d**2 - 3*d - 2. Let b(w) = w**2 + 9*w - 12. Let o be b(-10). Let u be p(o). Which is bigger: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 12:13 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 78 - 80. Let n = g + 4. Let q = 5.4 + -5. Which is the third smallest value?  (a) n  (b) -0.4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {f: 5, s: 3, l: 1, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + t + 4. Let d(i) = -44*i**2 - 2*i - 11. Determine 3*c(h) + d(h).\nAnswer: -41*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3 + sqrt(1216) + (sqrt(1216) + -1 - sqrt(1216)) + -3)**2*3*-1.\nAnswer: -3795 + 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 11:50 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68214, 68362, 68606, 68946, 69382?\nAnswer: 69914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.921?  (a) -3  (b) -1\/2  (c) 0.2  (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 + -4)\/(1\/14). Let q be (-26)\/(-7) - (-4)\/j. Put 1, -1, q in increasing order.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2206, 2215, 2236, 2275, 2338, 2431, 2560?\nAnswer: 2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -8 - 2\/5*y**4 + 4*y**3 + 88\/5*y - 66\/5*y**2 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12500322 - 402?\nAnswer: -12501124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8 - 4) + -1 + 0. Suppose -h - 8 = -y*h. What is the first derivative of 4*x**4 - 4*x**4 + 3*x**h + 4 wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/1702402 and -31\/79514630.\nAnswer: 3260099830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + ((-189)\/(-5))\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*r - 115*r - 127*r - 165*r + 536*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 607570660*n**5 - n**2 - 71932*n - 3376?\nAnswer: 36454239600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16.98 in 48, 0.5, 0, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (4 - 10) - (2 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15745.\nAnswer: 5, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zdzpddpzdap. What is prob of picking 1 p and 1 d?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3*p = -29, 4*p = -2*a + 23 + 55. List the prime factors of 270\/a - 4\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/14747 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -46, 586, 0, -3, -8.\nAnswer: -46, -8, -3, 0, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 8*i + 22. Let n be p(5). Suppose 0 = -8*k + n*k - 27318. List the prime factors of k.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 0.1414992 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -7556*(4 - 3)\/((-3)\/18*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x - 8. Let r be s(6). Let t be (-85)\/90 + 2\/r. Let y = -10\/63 - t. What is the nearest to 0.1 in -3, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + -2.08. Let i = v + -0.4. Let d = i + 0.2. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 242 - 199 = -43*q - 2*c, -4*c = 3*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2486.022 meters?\nAnswer: 2.486022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 1519 = 10*a + 1684 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 98*c**2 - 889*c + 61. Calculate n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23744?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -41*d - 14. Let p(n) = -1032*n - 351. Calculate 4*p(l) - 102*r(l).\nAnswer: 54*l + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-3\/4)*w*w\/(w\/w**(-2)))\/(w**(2\/3)*w*(w\/(w**6*w))\/w)*(w\/w**(1\/4))**(2\/7)\/((w**(-1\/4)\/w)\/w*w)**(-40) assuming w is positive.\nAnswer: w**(-3797\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -14, -55, -144, -299, -538?\n\"Answer: -3*g**3 - 6*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-80)\/660*-11)\/((-40)\/(-18) + -2). Solve 8*b = 3*b - 4*t, -g = b + 2*t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2224 divided by 8.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 13*k - 89. Let y be j(7). What is m in -124*m**2 - 134*m + 54*m - 68*m**y - 28*m**4 + 300*m**3 = 0?\nAnswer: -2\/7, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.047083 rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -55.2 and 5785?\nAnswer: -319332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -10*r. Let n(s) = -1989*s**2. What is n(t(d))?\nAnswer: -198900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 49, 63, 91, 139, 213, 319, 463, 651?\n\"Answer: w**3 + w**2 + 4*w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.660021 months in millennia?\nAnswer: 0.00005500175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -53590, -214523, -482742, -858253, -1341062, -1931175?\n\"Answer: -u**3 - 53637*u**2 - 15*u + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence isu when three letters picked without replacement from isudurw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28761952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8436190 + 827*h + 8436190 - 6*h**2.\nAnswer: -6*h**2 + 827*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-6*(1 + (sqrt(50)\/(-1*sqrt(5) - sqrt(5)))\/(-5*sqrt(720)))*1)**2.\nAnswer: -7201\/200 - 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*h = 44*h + 405. Let w = 81 + h. Is (8\/(-12) - w)*1341\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-1\/2)*s)\/s*s)**(-3)\/((((s*s*s*(s*s**3)\/s*s)\/s)\/s*s)\/s**0) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -2*a + 6*a. Let s = a + -7. Suppose -r = -3*c + s, 6*c - 20 = c + 5*r. Solve -2*q + k - c = 0, -q + 0*k - k - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589 is divided by 260?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 87 + -48. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 2*w - 4, -5*r - 3*w - 20 = -2*w. Let h = -5.1 - -5.26. What is the second biggest value in 0, h, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4965 + -0.0035. What is the biggest value in -130, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b. Let o(a) = a**2 + 2*a. Let z = -25 - -26. Determine z*o(p) + 4*r(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(18)\/sqrt(2))\/sqrt(3) + -4).\nAnswer: -2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**6 - 25228*t**5 - 2*t**2 + 10708*t wrt t.\nAnswer: 120*t**3 - 1513680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -22*l**7\/7 - l**3 + 3*l**2 + 37. Find the third derivative of s(c) wrt c.\nAnswer: -2640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lbz when three letters picked without replacement from lblllzrrlzrrbbr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000061273 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from kqll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15962 and 1735?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-1))\/(11\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) -7  (c) -1\/5  (d) 2  (e) 27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34646.49 milliseconds in nanoseconds?\nAnswer: 34646490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1402  (b) 1\/7  (c) 1\/8  (d) 8  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1021.16, -13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 14*t - 4*q + 14 + 25 = 3*t, -t - 3*q = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4408, -8612, -12816, -17020, -21224, -25428?\n\"Answer: -4204*j - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -5*w - 6*w**2 - 1\/3*w**3 + 211. Give d(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 64 + -61. Find the third derivative of 33*s**3 - 63*s**z + 11*s**2 + 24*s**3 + 8*s**2 wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 4*s + 2. Let o be p(4). Find the third derivative of 4 - 3 - 2*m**o - 1 + 3*m**4 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 1 + 0)*(11 - 14 + 20) - 5 - 9 + 30)*(1 - 1 + w**2).\nAnswer: 67*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -9*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 70*c**2 + 767*c - 768. What is b(1)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2 - l + 5*l**2 - 7*l**2 + l**2 + 1. Let d(p) = 3*p**2 + p + 1. Determine d(b) + n(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 350410*c**2 + 154*c - 55043809 wrt c?\nAnswer: 700820*c + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*o**5 - 2*o**5 + 3*o**5 + (154*o - 7*o - 15*o)*(0*o**2 + 2*o**4 + 0*o**2).\nAnswer: 270*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 496 - 454. What is the remainder when 161 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 926 - 926 = -h, -40*n + 5*h - 2280 = 0 for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35605947?\nAnswer: 3, 13, 912973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 23*g + 23. Calculate p(-7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -5458455?\nAnswer: 5458443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 12 - 214?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -10 + 5\/((-5)\/(-3)). Let i = z + 12. Suppose i*o = 3 + 42. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12977 - 12137 = 56*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -518 + 249 + 269 - 7*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 853967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -299.5290974 rounded to one dp?\nAnswer: -299.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 11:48 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q. Let g(o) = -543496*o - 70. Determine d(g(c)).\nAnswer: -1086992*c - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k. Let z be x(0). Let c = z - -9. Suppose 4*q - c = -p + 1, 3*p = 3*q + 30. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -314, -0.2, -1\/8, -2\/15, 0.3 in increasing order.\nAnswer: -314, -0.2, -2\/15, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/5, -0.5, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 1. Suppose -4*m - 16 = -d - d, 0 = -3*m - 9. Let n be a(d). Solve n = -2*w - 3*b, 3*w - b - 5 = 4*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*k - 147, 2*k + k - 75 = 5*n. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10476)\/776 + 1\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 281 = -3*r - 391. Let z = r + 1126\/5. Factor -17\/5*p + z - 3\/5*p**2.\nAnswer: -(p + 6)*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.71 and -0.1088216?\nAnswer: 0.8188216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 4*b + 152 = 0, 162 = 653*r - 658*r + b for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/13))**(-10\/3) assuming b is positive.\nAnswer: b**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 220772244949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t + 3. Let m be (-4)\/6*4*6\/16. Let a(f) = f. Calculate m*h(k) + 6*a(k).\nAnswer: 5*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65343 = p - 5*r, -2*p = -30*r + 34*r - 130714. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from adfaayf. Give prob of picking 1 a and 2 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.494 - 1.494626. Round v to five dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3662 - -3819. Solve 23 = 4*j + x, -j + 4*x + z = 164 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n = -48*n - 102 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 + 81*h + 287. Determine t(44).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 6*w - 2. Let d be c(-3). Let m = -407 - -219. Let u = m - -167. Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -9*c**2. Let w(y) = 2746423*y + 2. Calculate w(k(r)).\nAnswer: -24717807*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -514.7 - 80.\nAnswer: -594.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12633074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47.16 + 47. Let y = -0.1994 - g. Round y to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) -0.05  (c) 0.04  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 15) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 309, 744, 1179, 1614, 2049?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12668*w**4 - 3*w**2 - 76*w + 9.\nAnswer: 304032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2396*v**3 + 5*v**2 - 5*v**2.\nAnswer: -2396*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 532*m. Let c(k) = -46*k + 12. Give c(f(z)).\nAnswer: -24472*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37.51 + 40.8. Let x = -0.29 + l. Let u = 0.2 - 0.1. What is the nearest to u in 0.2, 5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as 2\/260097175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 8564*s**2 + 137892*s + 336492.\nAnswer: -4*(s - 2157)*(s + 3)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 8 = -7, 0 = -j - 4*g - 28. Suppose -l + 14 = 5*r, -3*l - 23 = -5*l - 5*r. Let h = l + j. What is the second biggest value in 0, h, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*n + 11952 = 379*n - 6409 for n.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 6:47 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(1\/2))\/x*x*(x*(x*x\/((x**3*x*x)\/x))\/x)\/x)**(-1\/5) assuming x is positive.\nAnswer: x**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1018 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 53*a - 5. What are the prime factors of j(4)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -616, -617, -618?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -340*s - 238. Let c(f) = 17*f + 12. Let t = -6 - -125. Let q(u) = t*c(u) + 6*y(u). Let r(d) = 10*d + d - 3*d - 5*d. What is r(q(b))?\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1700)*-2 + 1).\nAnswer: -2 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -5680?\nAnswer: 5685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**3 - w**3 - w**5 + (-80*w + 143*w + 155*w)*(0*w**4 + 0*w**4 + 3*w**4) + w**5 - 4*w**3 + 4*w**3.\nAnswer: 654*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1164742239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -305 - -113. Which is smaller: -193 or p?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/6 + 7*p\/6 - 1.\nAnswer: -(p - 6)*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 90530 - 53056. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34 or 24579\/724?\nAnswer: 24579\/724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 1 = -2*d, -3*d - 3*f - 2*f - 14 = 0. Let t be 1 + d + (-8 - -6). What is the units digit of (-18)\/t + (-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10447\/3 + -3427. Let h = x + -55. Solve -1\/2*k - 1\/3*k**2 + h*k**3 + 1\/2*k**4 + 1\/6*k**5 - 1\/6 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 546 a factor of 2186184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 84543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -171*g + 9. What is the lowest common multiple of 90 and u(0)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -394513 (base 11) to base 7.\nAnswer: -5164050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + j - 6, 2 = 5*s - 2*j - 0. Suppose 2*x + 25 = s*v - 5, -2*v + 35 = -3*x. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -7210*f + 202262. What is w(28)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -2*o - 3*v + 8*v, -13 = -2*o + 3*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -5, 3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 16.191 times -0.2\nAnswer: -3.2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + b. Let n be f(1). Let l(k) = 0 - 27*k + 28*k + n. Let j(h) = h**2 + h + 1. What is -2*j(i) + 2*l(i)?\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p + 8. Let m be b(-6). Suppose -3*l + 15 = 0, 4*o + 2*l - m = -2. Suppose 6 = o*d + 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*h**3 + 29*h**3 - 6*h**4 + h**2 + (-9*h**2 + 34*h**2 - 10*h**2)*(-3*h**2 - h + h) in the form o*h**2 + s*h**4 + p*h**3 + j + k*h and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -2*n + 4*g - 6*g, -5*g = -20. Suppose -32 = -6*o - n. Solve -2 = o*f + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-455)\/(-63) + 4\/(-18). Let y(g) = g**2 + 15*g**2 + 2*g**3 + 2*g - w*g. Let x be y(12). Round x to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, 2\/7, 21, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26917381*y**4 - 16054819*y**2 wrt y?\nAnswer: -646017144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -96.5 - -97.5. Let h be (-2)\/(-4) - 1\/(-6). Let x = 0.4 + -2.4. What is the nearest to 0.1 in t, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 8a899?\nAnswer: 8a899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3011062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 + 39. Let g(m) = -m**2 - 4*m + 4. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c - c**3 - 3*c + (-c + c - c)*(3*c - 3*c - 17*c**2) as j + h*c**3 + d*c**2 + q*c and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -0.1, -3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m**3 - 31*m + 31*m - 4*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 17, -6, -1320, -3 in ascending order.\nAnswer: -1320, -6, -4, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**2\/7 - 121274*y\/7 - 242540\/7 = 0. Calculate y.\nAnswer: -60635, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -g + 5*t + 219, 4*t = -5*g - 505. Let u = g - -99. Solve 10 = 4*q - u*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.760738238 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 35, -8, -49, -88, -125?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2. Let a(m) be the second derivative of -29*m**6\/720 - 25*m**4\/12 - 6*m. Let u(x) be the third derivative of a(x). Give u(v(q)).\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n. Let y(a) = 11*a**2 - 250 - 29*a**2 + 9*a**2 + 11*a**2 + 23. Determine p(y(c)).\nAnswer: -4*c**2 + 454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 249.6 + -249.9. What is the closest to -2\/33 in 0.4, 0.5, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.41 - 0.41000148. Round g to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/15*(-70)\/(-742)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -382.8 times -0.4?\nAnswer: 153.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 359885843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 197434 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5 and -21889859?\nAnswer: 21889864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, -316, 3, 2 in descending order.\nAnswer: 4, 3, 2, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.37 - 0.87. Let p = -0.056 - -0.047. Let m = -1.991 + p. Which is the second biggest value?  (a) m  (b) 1\/3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*y + 119100000 = -23*y. Round y to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27419 (base 10) in base 7?\nAnswer: 142640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oawaawawwwj. What is prob of picking 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 12  (b) 0.4  (c) -3\/2  (d) -2\/3  (e) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/(-280)*(-35)\/(-126)*-3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -8 + 10. Find the third derivative of -9*p**m + 4*p**2 - 39*p**5 + 5 - 21 wrt p.\nAnswer: -2340*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 42 - 71. Let y = z + 33. Let a = 8 - 4. Solve -5*v + 1 - 20 = -a*j, j - v - y = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-10) - 22\/(-55).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, 69177, 3 in ascending order.\nAnswer: -3\/4, 3, 69177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.1 and 0.11575.\nAnswer: 0.21575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3*u - 3. Let h(o) = 2650*o + 750. Calculate 250*b(t) + h(t).\nAnswer: 1900*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-12) + (-210)\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4089, -4088, -4077, -4050, -4001, -3924, -3813?\n\"Answer: a**3 - a**2 - 3*a - 4086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 606 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3859?\nAnswer: 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 89095\/23 + -3875. Let w = z - -242\/115. Sort -2\/131, -1, w in decreasing order.\nAnswer: w, -2\/131, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4155, -15762, -34815, -61314, -95259, -136650?\n\"Answer: -3723*u**2 - 438*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 6, 0, -1 in increasing order.\nAnswer: -5, -3, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 192 divided by -378\nAnswer: -32\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 29 = 3*i, -1 = 2*g + 4*i - 29. Suppose 5*f = -0*f + g. Let o(t) = 6*t - 5. List the prime factors of o(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6311438.\nAnswer: 2, 7, 450817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - -15 - (-5 - -3). Suppose 0*w + q*w - 36 = 0. Solve 4*c - 20 = -h, c - 3*c + 16 = w*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 3\/7, 2\/21 in descending order.\nAnswer: 3, 3\/7, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 5*z + 10. Let j be d(4). Which is smaller: j or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 249432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4198 and 23615.\nAnswer: 99135770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -8*f + 2. Let u(q) = 5*q - 4. Let j(a) = 3*u(a) + 4*y(a). Let k(v) = -34*v - 9. What is -9*j(t) + 4*k(t)?\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1394, -2821, -4250, -5681?\nAnswer: -7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c - 36 = -4*b - 15*c, 2*b = -c + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2045752 (base 14) to base 9\nAnswer: 31578668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of -9 + 0*u - 4\/5*u**2 + 2\/15*u**3. Factor b(p).\nAnswer: 2*p*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7816*f**4 - 1258*f + 1?\nAnswer: -93792*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 - -340. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2147\/11 - -195. Let x = -9\/200 + -173\/600. Which is the nearest to m?  (a) 2\/13  (b) -3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {q: 3, v: 5, b: 3, t: 2}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.174875 to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of 5*t**7\/21 + 2*t**6\/15 - 4*t**5\/5 - t**4\/3 + t**3 + 8*t. Determine a so that l(a) = 0.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06467 to four decimal places.\nAnswer: -0.0647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 5*b - 5. Let s(x) = -4*x**2 + 3*x**2 - 4 + 4. Give s(y(t)).\nAnswer: -25*t**2 + 50*t - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14473\/348036 - -17\/388. Let v = -168\/14053 - p. Are 0 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 412 + 430 = 0. Let w be (20\/i)\/(66\/(-170478)). Round w to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67 - -13. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 9*a + 24 = -6*a, 2*o - 24 = 5*a for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 14. Let c = 25 + w. Suppose 912 = 19*t - 3*t. Calculate the remainder when t is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 4:42 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express r**2 + 2*r**4 - r**2 + (-44*r**2 + 1218 - 1218)*(4*r**2 - r**2 - r**2) - 46508*r + 100*r**4 + 46508*r as j + m*r**4 + w*r + d*r**3 + v*r**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4, 34, 148, 374, 748, 1306?\n\"Answer: 6*u**3 + 2*u**2 - 10*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*n = 64*n + 18. Put 8, 5, n in descending order.\nAnswer: 8, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.09, 12, 1.7 in decreasing order.\nAnswer: 12, 1.7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*o**2 + 2 - 142*o**3 - 13*o**2 + 24*o**3 - 5*o**2 to y*o**3 + d + t*o**2 + i*o and give y.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71523.\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70 and 105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 1 - (-1 + 2). Suppose v = 3*t - 5*t. Suppose t*f = -3*f + 9. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/431131 or -1?\nAnswer: 4\/431131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -243\/1249  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 118708 and 15090.\nAnswer: 1780620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1191 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17296, 3, -31.35?\nAnswer: 17296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 6:11 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 495180 + 117*j - 247601 - 247578.\nAnswer: 117*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.261 - -12299028?\nAnswer: 12299028.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -333.070911 - -357.37081. Let j = q + -24.3. What is j rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114 divided by -1.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-20)*f**(-3\/13) assuming f is positive.\nAnswer: f**(-263\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-2) + 203\/14. Suppose 66 = 17*f - o*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32784 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*d + 25 = 0, -d - 5 = 3*l - 72. Let q be ((-6)\/2)\/(-3) - 1. Suppose q = -58*w + 63*w - 70. What is the remainder when l is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 4*w - 2. Let u be r(-5). Let c(p) = -p**2 + 108*p + 570. Let d be c(-5). Solve 0 = -5*z + 4*m + d, -z + 1 = -u*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 2. Let u(r) = -r**2 + 2*r - 11. Let a(n) = -4*f(n) - u(n). Let k = 5 + -3. Determine a(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73878498 divided by 84626\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -25*v**3\/3 + 92. Let o(h) = 2*h**2. Give s(o(i)).\nAnswer: -100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 - 12995?\nAnswer: -12865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17.9 + 6.9. Sort -1\/4, y, -4, -1\/2.\nAnswer: y, -4, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*p + 51, 5*h + 1 = 4*p - 3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*t + 2*n - 8, 2 = -3*t - 4*n. Suppose -3*b = -422 + 2744. Let k = b - -780. Calculate the smallest common multiple of k and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - q**2 - 6*q - 6. Let y(t) be the second derivative of t**5\/10 - t**4\/6 - 13*t**3\/6 - 13*t**2\/2 - 30*t - 3. What is -13*c(n) + 6*y(n)?\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 50. Let j = 45 - t. Suppose -a - 3 = u - 4, a - j = -3*u. Let z(l) = l**3 - 6*l**2 + l - 7. Give z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (3 - 2) + (1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 220*c - 114*c - 112*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8693 or -6\/367?\nAnswer: -6\/367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 20. Suppose 3*x + 4*r - 12 - 20 = 0, -l*r = -2*x - 17. Solve 0*v = 2*y + 4*v + x, 5*v + 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55569433693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438*v + 64*v = 35 + 467. Let u(g) be the third derivative of -3*g**2 + 0*g - 1\/20*g**5 + 0*g**4 + 0 - 1\/6*g**3. What is u(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 10*t**2 - 61*t - 54. Let y be l(-14). Solve -14*q + y*q + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19877439780 rounded to the nearest 1000000?\nAnswer: -19877000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -11.017. What is p rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.233 - -1.233. Sort -0.1, j, -3\/13, 3.\nAnswer: -3\/13, -0.1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*o + 11. Let p = 1 + -4. Let z = -1 + p. Put o, -5, z in increasing order.\nAnswer: -5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/53442 and 101\/120.\nAnswer: 1068840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 - (33 + (-48 - -29))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence irir when four letters picked without replacement from {r: 4, i: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4326 + 7224. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in 3\/7, 109, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -164 divided by 932\nAnswer: -41\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + 83 + (35 - 36 - 38).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -2\/17, -6, 26, 2\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -406 or -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14716137?\nAnswer: 3, 29, 169151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/1520 and 23\/100928.\nAnswer: 504640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 1047*k + 3. Let u be h(-3). Let b = -28300\/9 - u. Let v = -2930\/3 - -962. Find the common denominator of b and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u + 3*u - 4*u)*(3 + 7*u - 3)*(4 + 2*u - 4) in the form q*u + j*u**3 + v*u**2 + m and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15477 divided by -834.\nAnswer: 5159\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, y: 8, d: 1, j: 1}. Give prob of picking 3 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/40 and 77\/555641376.\nAnswer: 2778206880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*t**2 + 3*t**3 - 3*t - 3\/2 + 3\/2*t**4.\nAnswer: 3*(t - 1)*(t + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 + 27862*o - 6963*o - 6958*o - 6959*o - 6971*o.\nAnswer: 3*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -6*a - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 870 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2.5, -756\/5, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -47*m + 1607. Let c be p(21). Is c not equal to 618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/34 and -56\/187?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l. Let h(y) be the third derivative of 0*y**3 + 0 + 0*y - 3*y**2 + 1\/15*y**5 + 0*y**4. Calculate h(r(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -751371381*p**3 + 5667*p**2 - 1337*p wrt p?\nAnswer: -4508228286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**4 + 2911*n**2 - 1446*n + 5 wrt n?\nAnswer: 12*n**2 + 5822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-680)\/(-30))\/((-1)\/9*-3)*(-1053)\/1404.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -2*o**3 + 336*o. Let c(u) = -50*u**2. Determine c(j(d)).\nAnswer: -7200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-3) + 1\/3. Suppose -b = -2*w - 2*c, -4*w + 2*c = -7*w. Let t be (-122)\/(-8) - (w + 10\/8). What is the highest common divisor of 48 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.28 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((4*1*sqrt(162))\/(sqrt(36)*3))\/(sqrt(9) + sqrt(441)*2 - sqrt(63)\/(sqrt(7)*2 - sqrt(7))))**2.\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1511 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b - 8. Let k be o(-2). Suppose k = 22*x - 25*x + 3. Which is bigger: -0.02 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**5 + 1636922*v**3 + 3303713*v - 1?\nAnswer: 40*v**3 + 9821532*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*d + 188, -2*d - 31 = -3*d + 3*v. Let r be 2*(-15)\/d - (-15)\/4. Let h be (1\/r*3)\/1. Which is the second smallest value?  (a) -2  (b) h  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4 - 2 - 4*w + 2*w + 6*w**2. What is the remainder when q(2) 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) -472  (b) -0.1  (c) -323\/464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 392500.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(-2\/29))\/c)\/c**(1\/3))**(2\/81) assuming c is positive.\nAnswer: c**(-70\/7047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.4054 + 0.0054. Let q = 6 - 5.78. Let h = q + 0.08. What is the closest to h in -5\/4, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u - 11*u = -108 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 6*n + 0 + 127*n**3 + 3 - 11*n to f*n + v + i*n**3 + o*n**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 228 by -38.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of 7*q**7\/60 + 7*q**6\/10 + q**5 + 2*q**4\/3 - q**3\/3 - 2*q**2. Let y(s) be the first derivative of r(s). Solve y(g) = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 29. Suppose -4*m + m + t = 0. List the prime factors of -80*(0 - m\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -678, 4882, 14154, 27144, 43858, 64302?\nAnswer: 88482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3812632*n**4 - 83027221 with respect to n.\nAnswer: -15250528*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7, 35, 87, 175, 311, 507, 775?\n\"Answer: 2*s**3 + 14*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 11*q - 15*q - 98, 0 = -i - q + 40. Suppose 0 = i*x - 45*x + 1900. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -206*l + 207*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/55*5\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 1:07 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of -1\/6*o**4 + o**2 - 1\/60*o**5 + 1\/3*o**3 + 0*o + 0. Let f be b(-4). Solve -2*i + f*s - 4 = -10, -5 = -i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 239*v**2 + 4013 + 2*v - 2*v.\nAnswer: 239*v**2 + 4013","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14554822.5 nanoseconds to days.\nAnswer: 0.00000016845859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7312*j**2 - 181964 + 181964.\nAnswer: -7312*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**3 + o**3 + 0*o**3 + (3*o - 3*o + 2*o**2)*(0*o + 2*o - o) - o + 7*o**3 + o.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*q + 8*q - 1 + 6.\nAnswer: 97*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1544 and 1912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8, 0.4, -24, 26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47 - 44. Suppose -2*b = 4*z, -d*z + 4*b = -0*z + 22. Suppose 1 = -w + 3. Put 3, w, -4, z in ascending order.\nAnswer: -4, z, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33 + 29. Sort -3, y, 1.\nAnswer: y, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**3 - 5*c**2 + 2*c - 7. Let f(a) = -5*a**3 - 10*a**2 + 3*a - 13. Let l(g) = -4*f(g) + 7*w(g). List the prime factors of l(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - k - k - 4, 5*k + 7 = 4*u. Suppose 5*x + f = 14 + 14, 5*f + 40 = 5*x. Let s(h) = h + 2. Let b be s(x). Solve -u*g + 5*g + b = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 12:17 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -5*k - 16 + 336, -2*k = 2*z - 112. Calculate the greatest common factor of 2985 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/((-9)\/(-12)*-2). Let o be 2\/z + 68\/(-16). Let c = 4 - o. What is the least common multiple of 7 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -121*z**3 + z**2 - 1815*z + 3377. Find the first derivative of l(o) wrt o.\nAnswer: -726*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*s - 7, -14 = -4*g - 3*s - 0. Suppose 5 = -3*c - 1. Sort c, 1, g in decreasing order.\nAnswer: g, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -66 + 33. Let g = f - -32.99999933. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -127690594*-2\nAnswer: 255381188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d*i - 2*d - 354*i**3 - 70 with respect to i.\nAnswer: d - 1062*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91 + 42. Let t be i\/3 + 32\/(-96). What is the highest common divisor of t and 308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.22424 times -0.2?\nAnswer: 0.844848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159735 = -4*b - 3*s, 2*b + 51773 + 28089 = 4*s. Let l = -25454 - b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-128))\/(2\/4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 44686320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 7) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 + 20676423?\nAnswer: 20676370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16607356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5\/3 - 5*f**4 - 11*f**3 - 17*f**2\/3 = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/((-100)\/(-8)))\/(-2). Let x = 1 + 1. Suppose -x*y = 3*y - 20. Which is the second smallest value?  (a) y  (b) 1  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1320*x**2 - 11673*x + 6506*x + 5168*x.\nAnswer: -1320*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 398683699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 503*n**3 + 2*n - 351*n**3 - 2*n - 27.\nAnswer: 152*n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**3 - 3*t**2 - t - 2. Let d be k(-2). Suppose -d*n + 20 = -40. Calculate the greatest common factor of n and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 783 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**3 - 10*p**2 - 145*p + 26. Is m(45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/(-13) - -2) + 22\/(-26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113004 is divided by 485.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/26*2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1224 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence blu when three letters picked without replacement from ldkbkbzdu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*a - 702 + 702.\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - u**2 + (-5 + 1 + 6)*(-u**2 + 2*u**2 + 0*u**2) + 3*u**2 - u**2 + u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.08 + 0.08. Let o = 8\/51 + 164\/255. Suppose r - 4*r - 3 = -3*u, 2*u = -3*r + 2. Which is the third smallest value?  (a) u  (b) x  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 3*a**2 - 120198*a + 1203963267 = 0.\nAnswer: 20033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*9\/(-3) + 1. Let i be 1 - (-1)\/m*-4. Differentiate s**4 - s**4 + i - 3*s**4 + 0*s**4 wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5254 rounded to two decimal places?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p - 1. Let h be i(-3). Let q = 23 - 23. Suppose z - 28 = -f + 1, q = -h*f - z + 62. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10020 is divided by 238.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2880, 2889, 2900, 2913?\nAnswer: 2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 127 + -124. Sort -1, -1\/4, r, -4\/7 in increasing order.\nAnswer: -1, -4\/7, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-14)*v)\/v)**(-34) assuming v is positive.\nAnswer: v**476","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12155 or -12151?\nAnswer: -12155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (150\/3*105\/(-70))\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 1, -116, 0.3.\nAnswer: -116, -2\/9, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 21959954 and 21959952 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (24\/10)\/(4\/20). Suppose 0 = -4*q - 13 + 5, 4*v - 3*q = 26. Suppose -k = 3*h - v*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 4. Let t be b(0). Suppose 0 = t*v - 28 - 72. Let a = -13 + v. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 3*m - 50. Determine v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.7295 - 0.6295. Which is the nearest to o?  (a) -0.4  (b) -0.06  (c) 2.2  (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228*r**2 - 5*r + 3*r - 1626*r**2 + 6*r - 4*r.\nAnswer: -1854*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) -0.4  (c) -6.8  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 501354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b - 3*x + 14, -2*b - 8 = 2*x - 3*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (8\/22)\/((27\/54)\/((-209)\/(-76)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1123 + -11?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10 - -8)\/(2 - 4). Solve -28 = -5*m + 3*s, -s - 5 = -m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -121*o. Let n(u) = 4*u. Determine g(n(k)).\nAnswer: -484*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + 1 + 195 + -178 + -20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -x - 268. What is the remainder when x is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -2\/17  (c) -1\/3  (d) -4.6243  (e) -2  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3154.7 - 2972. Let g = p - 166. Round g to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 10*g**4 - 1356*g**3 + 60090*g**2 - 877808*g + 505344 = 0.\nAnswer: 3\/5, 32, 47, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f + 3*f**2 - 9*f - 11*f - 4*f**2.\nAnswer: -f**2 - 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37059769 is divided by 88.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + a + 2. Let n be y(0). Suppose 4*g = n*g + 160. What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 222 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/48 - -2195\/624. What is the common denominator of 73\/4 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 AM and 10:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 33, -4 in decreasing order.\nAnswer: 33, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1995 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: What is 50123959 less than -5388?\nAnswer: -50129347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 47. Let s = f - 54. Let g = s - -18. Which is the biggest value?  (a) -0.4  (b) 2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1, 2, -77, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1615 and 5066085.\nAnswer: 96255615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, c: 7, e: 1, m: 2, d: 6}. Give prob of picking 1 x and 1 c.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3891349277 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2528 and 218.\nAnswer: 218.2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 10 = -u - 4*u, -4*f - 5*u = 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 less than 494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence duc when three letters picked without replacement from {d: 5, l: 3, c: 3, r: 5, u: 2}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 138 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -518012793 by 943557.\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2263 - 238. Let z = o + 351. Let j = z + 674. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 176460 (base 10) to base 3.\nAnswer: 22222001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -42, -4 in increasing order.\nAnswer: -42, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2288*h**2 - 1149*h**2 - 1148*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -550*j = -549*j + f - 30, 4*j = -2*f + 120 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 11*y + 2. Give z(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 13. Let v be u(-4). What is the remainder when 14 is divided by 2 + v + (-6)\/((-4)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 766\/407 + 39\/74. Calculate the common denominator of g and 13\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t*t**(1\/2))*t)\/t)**(10\/3)\/((t\/t**(-7)*t)\/(t*t*t**7*t)))**28 assuming t is positive.\nAnswer: t**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g - 35060*g**3 + 3*g + 17526*g**3 + 17532*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -h**3\/3 + 2*h**2 - 6245*h. Let c(u) = -2*u + 3. Determine -6*c(g) + 5*f(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -79\/8793 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -99*y**2 + 2*y + 7. Suppose 0 = 6*k - 67 - 17. Let o(t) = 49*t**2 - t - 3. Let b(v) = k*o(v) + 6*m(v). List the prime factors of b(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -54 + 73. Suppose -15 + i = 4*p. 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: Is 26 a factor of 5172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -246221 = -19*f - 72618. What are the prime factors of f?\nAnswer: 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1483094362\/2179881 + -827258\/1067. Let i = o + 46\/681. Let r = i - -95. What is the biggest value in 3, -3\/2, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1564562 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(1\/(-15))\/((-6)\/18)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 801752156 at most as big as 801752156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j - 7. Let r(c) be the third derivative of -c**4\/12 - c**3\/3 + 2*c**2. Let v be r(-6). List the prime factors of b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 6*j. Let l be (6\/2)\/(63\/6)*7. Let a(n) = -n + 0*n + l*n + n. Give f(a(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4243318, 8486820, 12730322, 16973824, 21217326?\n\"Answer: 4243502*i - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qbb when three letters picked without replacement from bbppopbpqooqbpo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 21324152989.05.\nAnswer: 21324152987.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-8\/3))\/t*t)\/t**9*t**(1\/4)*t*t\/t**4)**(1\/2) assuming t is positive.\nAnswer: t**(-149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4947 and 0.4?\nAnswer: -0.19788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*d - 3*d - 7*d**3 + 3*d**2 + 9*d**3 - 4 - d in the form v*d + s*d**2 + i + t*d**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*l - 8 = 0, -w = -3*l - 34 + 16. Let r be (w\/4)\/((-2)\/116264) - 2. Round r to the nearest one thousand.\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2*n = -4*s + 441, 4*s + n = 1743. Let c = -183 + s. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19688269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from {f: 2, m: 4, r: 7, i: 3, p: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 3*p + 12, -8 = -3*z + 2*p - 0. Put 12, -3, z in ascending order.\nAnswer: -3, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96 + 12*f + 13*f - 25*f - 891*f**2.\nAnswer: -891*f**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -2.55, -12\/5, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00679 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*b - 2*t = -44, b = -5*t - 5. Suppose 0*k + 2*k - b = 2*j, -2*k = 2*j - 22. What is the greatest common divisor of 32 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -4*v + 5*i, 5*v = -0*v + 5*i - 55. Is (-23)\/(-4) + (-3)\/v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 89 + 8\/28*7. Suppose -v*z + 92*z = 619. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 940*j**2 - 39 + 21 + 1268*j**2 + 18.\nAnswer: 2208*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37969 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**8\/4200 - w**7\/2100 - w**6\/225 + w**5\/75 + 55*w**3\/6 + 48*w. Let r(v) be the second derivative of l(v). Factor r(z).\nAnswer: 2*z*(z - 2)*(z - 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1992 or -15945\/8?\nAnswer: -1992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*s - 4*y, 3*y = -1 + 4. Put -0.1, -180, s in descending order.\nAnswer: -0.1, s, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4117638726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 80 = 128. Let j = z - 15. Solve -3 + j = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + (9 - 8) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -594*t**2 + 5*t - 90. Let i(p) = -2377*p**2 + 19*p - 359. Let a(m) = 15*b(m) - 4*i(m). Find the second derivative of a(d) wrt d.\nAnswer: 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 32*j - 221. Let z be c(22). What is the nearest to 0.4 in 3, z, 0.2, 1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.7 - -5.7. Let s be 2*-1*(-1)\/(-9). What is the third biggest value in i, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 2*t**2 - 6*t + 5. Let u be j(4). Suppose 94 = u*d + 16. Solve 4*g - 14 = -d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.327377 centimeters to kilometers.\nAnswer: 0.00005327377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 9*b**2 - 3*b + 6. Let r(l) = -l**3 - 9. Let q be r(0). Let x be n(q). Suppose -28 = -5*a - x. Does a = 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -622*q + 633*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 1. Suppose -u*i - 210 = -4*q, -4*q + 156 = -q - 3*i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1094*u - 74 + 44 + 30 in the form a*u + i and give a.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5785\/4 + -1445. Factor -1\/2*i + 0 - i**3 - z*i**2 - 1\/4*i**4.\nAnswer: -i*(i + 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-4))\/((-3)\/30). Let z = 36 - 35. Sort z, o, 4\/3 in descending order.\nAnswer: o, 4\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**3 - 375*z**2 + 5405*z + 98175 = 0. Calculate z.\nAnswer: -85, -11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*q**4 - 361 - 398*q + 185*q + 144*q wrt q?\nAnswer: 8*q**3 - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 12:21 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of q**4\/24 - q**3\/6 + 7*q**2. Determine i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n - 16*n + 23*n + (-7*n + 5*n - 14*n)*(-2 - 4 + 5) in the form h*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -2*t + 3*d, -3*d = 5*t - 9*t + 32 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (31 - 0) + 1 + 0. Let c = b + -30. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21089 - ((-192)\/(-16) + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*f - 319391 = 83*f - 83311. Are -2271 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/24*12)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19343 + 62351. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, z: 2, o: 1, q: 3, b: 5}. Give prob of picking 1 q and 1 k.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 197, -130, 107 in ascending order.\nAnswer: -130, 107, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 1000?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/(p**(-4\/19)*p)*p))\/p**28)\/(p\/p**18*p*p*(p*p*p**(-2\/43)*p)\/p) assuming p is positive.\nAnswer: p**(-12389\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*o - 12 = 6*w, -4*o + 18 = w. Let n(i) = -w*i - 6*i - i + 4*i. Let j(y) = -y. Give n(j(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.9941 rounded to two dps?\nAnswer: 3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 616, -9?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w**3 - 54*w**2 - 114*w - 203. List the prime factors of q(-24).\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -66*c**3 - 9*c**2 - 15*c - 2. Let o be q(-7). Round o to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221211200 (base 4) to base 9.\nAnswer: -278582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 + -24. Let t(c) = 0*c + 0*c + c + 5. Let w be t(f). Solve 2*b + 2*n - 16 = w*b, -3*b = -5*n + 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2107550 by -122.\nAnswer: -17275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*o**4 - 5*o**4 + 4*o**4)*(-5*o + 10*o - 12*o).\nAnswer: -56*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m - 5*k + 25, 2075 = 13*k + 2049 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 9*i = 48, 84*i - 85*i = -2*v + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**2\/7 + 1000*n\/7 + 224796\/7.\nAnswer: -4*(n - 393)*(n + 143)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -5. Suppose 7*q - d*q - 20 = 0. What is the first derivative of -4*v**q - 4 + 5*v**4 + 2 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113942587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -2180007 and -2180115 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 11*n**2 + 5*n - 22. Let a be d(13). What are the prime factors of a\/15 + ((-68)\/20 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 204, 407, 610, 813?\n\"Answer: 203*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a - 2. Let r be (5 - 3) + 0 + 3. Suppose 0 = 2*b - r - 5. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.5, 0.2284?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 9:04 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 983287.\nAnswer: 47, 20921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**4 + 63*f**3*k - 442*f*k + 2*f wrt f?\nAnswer: -36*f**2 + 378*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*v + c, -3*v + 8 = -4*c - 4. Suppose 10 = 2*h, v = -18*f + 13*f - 4*h + 1055. List the prime factors of f.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*u + 23*u**4 - 16*u**4 + 5*u**4 - 5*u**3 + 9*u**3 + 7*u**3 as v*u**4 + r*u**2 + n*u**3 + a*u + p and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/13)\/((b*b**(12\/11)*b)\/b))\/(b*b**2*b*b**(3\/7)*b*b*b*b) assuming b is positive.\nAnswer: b**(-10376\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -7*g**3 - 62*g**2 + 2*g - 6. Let r(v) = 13*v**3 + 123*v**2 - 5*v + 15. What is 5*o(u) + 2*r(u)?\nAnswer: -9*u**3 - 64*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 451152370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/158072838 and -2\/18249.\nAnswer: 158072838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -28732 from -4419074.\nAnswer: -4390342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -152 (base 7) to base 3.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4 - 0)*122\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.09 - -0.1. Let y = 759 - 750.01. Let f = j + y. What is the nearest to 0.1 in f, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24816)\/516 - (635 - 683)?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1108 and 2?\nAnswer: 0.2216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, m: 4}. Give prob of sequence llll.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 14*n**2 - 32*n + 5. Let m be b(16). Solve m*u = 5 - 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 78, 237, 480, 807?\n\"Answer: 42*x**2 + 33*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1 + 17\/(-4))*(-2 + 646\/57) and 46\/1517?\nAnswer: 1517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.3233 - -3136030?\nAnswer: 3136017.6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 198, 769, 1696, 2961, 4546, 6433, 8604?\n\"Answer: -3*m**3 + 196*m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -546*x**2 - 53*x - 33. Let m(p) = -109*p**2 - 10*p - 6. Calculate -11*m(j) + 2*q(j).\nAnswer: 107*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 122310120131220 - -10?\nAnswer: 122310120131230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 0*a - 8. Suppose 20 = -a*f + 5*r, -2*f + 12 = -4*f + 3*r. Let l be 0\/(2 + -2 + 1). Is l bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-26))\/(3867\/(-83785)). Suppose -b*d**2 + 5\/2*d + 30 = 0. Calculate d.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - w - 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 3, -2*f + 3*x = -3 - 0. Suppose 3*q - 3*o = 3, -f*q + 13 = -q + 3*o. Solve 2*p - 5*w - 3 + 16 = 0, -22 = 5*p - q*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 - -133. Suppose -7*o = -4*o - v. Suppose 2*u - 11 = -3. What is the greatest common factor of u and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7042537?\nAnswer: 2207, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -139 - -246. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z - 11*z + 22*z - 2*z + 12*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 62 + 70 - 103*r**2.\nAnswer: -103*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7e4 + -16?\nAnswer: 7cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2354710410 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 36*o**2. Let b(c) = 5*c**2 + 75*c. Calculate b(r(h)).\nAnswer: 6480*h**4 + 2700*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from {x: 7, v: 4, j: 1, k: 1}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.19282598801 - 145.\nAnswer: -144.80717401199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 5 - 19*v - 2*v**3 + 6*v to the form g*v**3 + a*v**2 + i + t*v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 11 - (50 + -31 + -22). Let j(x) = -x**2 + 7*x + 79. Calculate j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*(i**2*i)\/i*i))**(-10)\/((i**31\/i)\/i**(6\/11)) assuming i is positive.\nAnswer: i**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -36 + 3. Let y = 23 - -2. Suppose -m = -v + y. Solve 5 = m*q - 3*q + p, 4*p = 5*q + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = u + 29, -3*u + 4*k = 38 + 33. Let a be (390\/u)\/((-3)\/10). Let v = a + -16. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 537*u + 1080. Let m be z(-2). Let g(v) = 5*v**2. Let h be g(1). What is the units digit of m\/(h\/((-1590)\/(-9))) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = 3*y - 4*o - 212, 4*y = -3*o + 556. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + -2)*-6)**2.\nAnswer: -3456*sqrt(3) + 62352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48195 or -3?\nAnswer: -48195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 + -0.9. Let g be (1\/(-3))\/((-11)\/462). Let t = -13 + g. Which is the third smallest value?  (a) -3\/5  (b) x  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 13. Let k be b(17). Suppose 0*r + k*r - 240 = 0. What is the greatest common divisor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5271747 (base 9) in base 8?\nAnswer: 12610651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -13, 1.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 9:04 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -540?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 2*q**2\/15 + 932*q\/5 - 2798\/15 = 0.\nAnswer: -1399, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 6*z**2 + z - 8. Let n be 17\/(-2) - (-1)\/2. Let q be v(n). Let b = q - 74. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16 + 4)*(-284)\/6. What is the highest common factor of 71 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/25 - (-252)\/(-90). Let d = 522\/5 + -105. What is the nearest to i in 7, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -x**4\/12 + 2*x**3 + 3*x**2 + 3*x. Let t be r(13). Let q = 2 - t. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 1 - 1)*(0 + 0 + 2*n) + 30 - 30 + 20*n)*(-5 + 5 + 2) as p + z*n and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m - 218808 = -220758. What is the highest common divisor of 4365 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22159776390873721.9999933 - 22159779667545999. Let y = 3276672123 + n. Let s = -154 - y. What is s rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11035*i - 142788 - 747824 = -195407 for i.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 35292853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46, 173, 384, 679, 1058?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 72*o**2 + 745 + 36*o**2 + 4*o - 10 + 34*o**2.\nAnswer: -2*o**2 + 3*o + 735","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3555 = -5*s - 5*d, 0*s + 4*s - 2847 = -3*d. Let o(k) = -k**3 + 713 - s + k**2 + 2*k**2. Determine o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -607295*j**2*p - 5*j**2 + j + 41*p - 6913 wrt p.\nAnswer: -607295*j**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 11938*h - 3979*h - 3983*h + 404 - 3992*h in the form j*h + p and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 112*k**2 - 1615*k. Give p(-95).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 3*t**2 - t + 1. Let s be k(2). Let m be (-3)\/(-7) - -3 - 4. Which is the third biggest value?  (a) m  (b) s  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*j**2 - 461*j**2 + 1350*j**2 - 457*j**2 - 463*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7946.\nAnswer: 2, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1523624214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 - 3*p + 3*p + (-p**2 - 1 + 1)*(1 + 2 - 2) - p - p**2 + p as m*p + l + u*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1309553*0.04.\nAnswer: 52382.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide -2 + -1 + (66 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 8*z**2 + 2*z - 13. Let p = -60 + 68. Let h be v(p). Suppose 5*f - 68 = 7. Solve 0 = -5*a + c + 17, -h*a - 3*c + 2*c + f = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 6 = -3*s + 3, -2*x - 3 = -s. Suppose x = -h + 5*h + 4*k + 8, 2*h = 2*k + 8. Calculate the smallest common multiple of 4*h - 0\/(-4) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9*(-7)\/21)\/(2\/8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 140 and 1360.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 337681?\nAnswer: 337681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7, z: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 442*x - 2887. What is h(7)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(30)\/sqrt(2))\/(sqrt(5) - (sqrt(60)\/(sqrt(72)\/sqrt(6) + sqrt(12)) - sqrt(5))).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.552 times 33438\nAnswer: 18457.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8444.97us in minutes?\nAnswer: 0.0001407495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 6*j - 2*j. Which is the nearest to -0.1?  (a) 5  (b) 1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 17, i: 1}. Give prob of sequence zzzi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - u + 3 - 2 + 2 + 2*u + (-u - 1 + 1)*(1 - 6 + 4) + 2*u + 0 + 0 + 5*u - 2*u - 4*u - 1 + 1 - u)*(4*u**2 + u**2 - u**2 - 1).\nAnswer: 8*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(48) + sqrt(3) - ((sqrt(3) - (sqrt(3) + -3*sqrt(3)))*5 - sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00587542 rounded to five decimal places?\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 13 - 17 = 0. Let x = 2 - d. Is x < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578228703 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4, 15, 26?\n\"Answer: 11*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/35?  (a) 3  (b) 1  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -54 + (7 - 1 - -9) + -31 + 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 5*a**2\/2 + 6*a + 4. Is l(5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1645107?\nAnswer: 3, 17, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 173183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**2\/9 + 8032*l\/9 + 486200 = 0. Calculate l.\nAnswer: -3366, -650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 6) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*p - 4 = -45*p. Suppose 10 + 10 = 4*z. Sort 9, p, z in increasing order.\nAnswer: p, z, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x**2 + 4*x - 4*x)*(1 + 5*x + 2 + 0) + 4*x**3 - x**3 - x**3 as u*x + y + s*x**3 + t*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -106?\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -1  (b) 4  (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 191426\/43 or 4451?\nAnswer: 4451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((-874)\/38 + 10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*y - 112*y = -872*y - 455*y + 5780 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1747 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-1)\/4*12. Let v be (n - 0)\/(14\/7). Suppose 0 = v*x - 4*x + 19. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -103*h**5 + 32*h**3 - 7756*h**2 wrt h?\nAnswer: -6180*h**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 2*h = -3. Suppose -20*i + 37*i - 611 + 84 = 0. Put h, i, -2 in descending order.\nAnswer: i, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/94)\/(3195\/1301430).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/6)\/(1\/(27\/(-198)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 + 2024*p - 149101. What is h(80)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*(-2 + 3\/1). Suppose 0 = -u*l + l + 27. What is the smallest common multiple of l and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -87 - -82. What is the nearest to -2 in -3\/5, h, 1\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -13 and 13382737.\nAnswer: 13382724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -572833160 divided by -114566632\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 3848\/81, 5 in decreasing order.\nAnswer: 3848\/81, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 80, -3 in increasing order.\nAnswer: -5, -3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 4*a + 6*a)*(-2 + 4 + 0) + 1 - 1 - a + (0 + 2 - 3)*(14*a - 5*a - 5*a)*(4 + 7 - 1).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 282125, 282126, 282127, 282128?\n\"Answer: v + 282124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(-7)*u))\/(u\/(u*u**(2\/3)\/u)))**(9\/5) assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 45150349 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*a*i*q**3 + 1696818*a*i*q**2 + 6*a*i*q - 14*a*q - 28083*a + 2*i wrt q?\nAnswer: 12*a*i*q + 3393636*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201485 divided by 1.\nAnswer: 201485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**5\/8 + 4899*h**4\/8 + 139545*h**3\/8 - 4899*h**2\/8 - 34887*h\/2 = 0.\nAnswer: -1604, -29, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 10*z - 37. Let g(f) = -3*f + 12. Let r(n) = 7*g(n) + 2*q(n). Let y be r(8). Solve -2*u = -2*l + y, -5 + 1 = 3*u - 2*l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*o**3)*(1 - 4 + 0).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.264621553 to 3 dps.\nAnswer: -1.265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r + 11 + 3*r + 6*r - 14*r + 11.\nAnswer: -3*r + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r + 134*v - 164*v - 912 = 0, -r - 2*v = 65 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870929462?\nAnswer: 2, 13, 41, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**3 - u**3 + 7139 + 21*u**2 - 7141 + 13*u**2 to o + n*u**2 + z*u**3 + d*u and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -999 by -48.\nAnswer: 333\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-15) + 1852\/5. Suppose -4*m - 4*r + r = -70, 4*r + 8 = m. Calculate the remainder when 2\/(-8) + b\/8 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 138651864.\nAnswer: 138651863.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -117350 + 130727987\/1114. Let x = m - 1597911\/5570. Let c = x + 5291\/20. Find the common denominator of 43\/14 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + m - 87 = 0, -4*t = 3*m + 36 + 93. Let v be (2 - 2)\/(t\/(-15)). Which is the nearest to 0.74?  (a) -5  (b) -0.3  (c) 2  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6\/35 + 16\/35. Suppose 5*d + 4*w + 3 - 2 = 0, 5*w = -3*d - 11. What is the smallest value in 2\/5, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5*v = 9, v + 2*v = -5*d + 2. Suppose -2*x + 3 = -d. Factor 1 + 4*a + 2*a**2 - x + 3.\nAnswer: 2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 66*f + 2. Let u(d) = d - 2. Determine -q(j) - 2*u(j).\nAnswer: -68*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1234, 2324, 4144, 6694, 9974, 13984, 18724?\nAnswer: 24194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 295, 294, 291, 286?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13257 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: Suppose -52*q = -53*q + 4. Solve q*c + 9 = -3, 5*c + 17 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43574 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 27323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 3*h - 10, 3*k + 218*h - 15 = 220*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/(-5) + 15*5\/125?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 16*h**2 - 8. Let d be t(16). Let g be 88\/32 + 6\/d. Solve -g = n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 75.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172 = -j - 131. Solve 4*m - j = -5*p, 32 = 3*m - 0*p + 4*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 24\/30*45\/(-6). Let i be o*(-2 + (-93)\/1). Let c be (-300)\/(-2 + 1145\/i). Round c to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 113391720 by 290748.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -12*v + 384. Let l be o(0). Suppose -389*q + 1130 = -l*q. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**4 - 5*t**4 + 0*t**4)*(-6*t + 7 - 7)*(1 + 5 - 3).\nAnswer: 54*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 14 = -5. Let q(m) = -m + 5. Suppose o - 2*v = 13, -3*v - 32 = -4*o - 0*v. Let u be q(o). Solve -2*n + 2*z - a*z - 14 = u, n - z + 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285.9415 rounded to one dp?\nAnswer: 285.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 375341394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 8:21 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 1493 - 1721. What is the first derivative of -104 + 175*b**4 + 108 - m wrt b?\nAnswer: 700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 398 - 283. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3387, -3385, -3383?\n\"Answer: 2*y - 3389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3409, 6818, 10235, 13666, 17117, 20594, 24103, 27650?\nAnswer: 31241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*z**2)*(3 - 2*z**3 - 3) - 7 + 2*z**5 + 7.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(4*b**3 + b**3 + 6*b**3 - b**3 + b**2 - b**2 + (-2 - 2*b**2 + 2)*(3 - 3 - 2*b))*(-b - 6*b + 3*b)*(3 + 1 - 2).\nAnswer: 112*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249*o**2 - 883*o**2 - 4322*o**2.\nAnswer: -4956*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 0.4, -4\/63089, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1824859730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -n - 4, -65*n + 62 = -84*n - 5*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1435*9.9.\nAnswer: -1.42065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 663 != 912\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3bc + 29435?\nAnswer: 29824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1200 (base 7) in base 13?\nAnswer: 27c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + 50*f**2 + 620*f - 97. Determine a(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 85286\/69 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-77)\/242 + 4\/(-22). Let c = 0.04 - 0.34. What is the closest to n in -0.07, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -83758\/25 + 3349. Calculate the common denominator of j and -76\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -165 + 329\/2. Let j = 130193\/18 + -7236. Calculate the common denominator of p and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 5*u**2 + 2*u + 2. Let t be v(-5). Let z(f) = -f**2 - 7*f + 6. Let j be z(t). Suppose 31 = -6*g + 13. Put j, -1, g in descending order.\nAnswer: -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 198 (base 14) to base 10\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y**2 + 6*y - 2*y**3 + 3*y**3 + 9 - 5*y**2 - 7*y - 9*y. Give w(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - 1*sqrt(170)) + sqrt(170))*1)\/sqrt(10).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 10. Let j(m) = 6*m**2. Let r be j(-1). Suppose 0 = 5*k + 5*d - 80, 2*k - r*k - 3*d + 63 = 0. What is the highest common divisor of k and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -79*u**7\/70 + u**5\/60 + 7*u**4\/12 - 4*u**2. What is the third derivative of q(i) wrt i?\nAnswer: -5688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 11. Suppose -d*u - 17 = -32. What is the units digit of (-296)\/(-40) - 2\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7041948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11 - -11.2. Let r = 11 - 7.9. Let z = r + -3. Which is the smallest value?  (a) -0.4  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7421027 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2269 is divided by 570.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102333 - -3?\nAnswer: 103002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q. Let v(p) = -p. Let o(x) = -x**2. Let z(c) = -o(c) - 2*v(c). Calculate -2*w(u) + z(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 131277967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7134*c**2 - 7134*c**2 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/13)\/(((k**18*k*k)\/k)\/k))\/((k**(3\/13)\/k)\/k**12) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 576 and 509976?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 6*z**4 + 454*z**3\/3 + 874*z**2\/3 - 1070*z\/3 - 92 = 0.\nAnswer: -23, -3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d - 108c35?\nAnswer: -108c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18225 + 18212.0036. Let o = -13 - t. What is o rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441982?\nAnswer: 2, 383, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -380 + 14*13\/(-26). Put m, 2, 1 in descending order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -4. Suppose 3*p + o - 38 = 5*q, -p = -3*q - 16. Solve 3 = -p*s - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1144)\/60)\/(-13) - 7*40\/350. What is the fifth biggest value in s, 5, 0.4, -2, -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9076, 9088, 9112, 9148, 9196?\nAnswer: 9256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 0.4  (c) -4469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -201, -134, 1, 204, 475, 814, 1221?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 36 in -0.2, -38, 4, -0.4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7720 is divided by 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2322 is divided by 745.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -9*f + 75. Let t be v(8). Suppose -4*b + 2*a + 0*a - 28 = 0, 4*b + 8 = -t*a. Let u(l) = -l - 7. Determine u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 4*f. Let t be x(3). Suppose -3*q - t*i = -849, -5*i + 16 = 1. Let k be (-19505 + 5)\/((-6)\/q). Round k to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -70.7 times -1695\nAnswer: 119836.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2476.456 days in hours?\nAnswer: 59434.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 8*y + 25. Let j be o(-7). Let k = j + -23. Sort k, -3, -1.\nAnswer: k, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhhahamhaama. What is prob of sequence ha?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + sqrt(30)\/(sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3)) + sqrt(5)) + -3 + -2 + sqrt(13) + -2 + (sqrt(26)\/sqrt(2))**2.\nAnswer: 10*sqrt(13)\/7 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lkkwlllkkllll. What is prob of picking 3 k?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2554a (base 14) to base 15\nAnswer: -1c218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 116619314 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 210 - 210 - u**4 - 10*u**2 - u**4 - 4*u**4 + 3*u**4 + (0*u**3 - 3*u**3 + 7*u**3)*(u + 4 - 4) in the form w*u + h*u**2 + s*u**3 + y*u**4 + l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -285 + 3?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/55  (b) 2  (c) -2\/29  (d) -0.2713\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0*0.18954\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 818 - 764. Let h = 6.58 + 46.93. Let b = h - s. What is b rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 395 a factor of 5449799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*u = 73*u + 47*u - 127260847. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**2 + 6*l**3 - l**4 + 2*l**2 - 2*l**3 + 2*l**2 to the form d*l**2 + a*l + u*l**3 + q + o*l**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 + 4*a - 9. Let i be d(-7). Suppose -2*p + 3*g = 8*g - i, -4*p + 95 = g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4256616 years to decades.\nAnswer: 0.04256616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 + c - 7. Let w be v(-3). What is the common denominator of 71\/6 and ((-2136)\/(-36))\/(w\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (14\/5)\/(2\/5). Let p(x) = x - 2. Let c be p(z). Suppose 4*l - 2*n - 12 = -0*l, -l = c*n + 8. Solve -3*o = l*j - 5, 18 = 4*j + 4*o - 6*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2 + c - 34. Let a be n(6). Let b(z) = -8*z - a*z + 7*z - 7*z. Let q(w) = -10*w. Determine q(b(u)).\nAnswer: 160*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8400 and 24.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + 3)\/(1*-1). Let h = y + 1. Solve 0 = -h*o - 1 - 7, 0 = -3*b + o + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -3. Let v = 7 - g. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26 and -79?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 432 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -953635 and 0.54.\nAnswer: -514962.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 = -2*i + 4*w + 135, -2*w + 910 = 4*i. Let s = -133 - i. Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 425 (base 10) to base 3.\nAnswer: 120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5064668 not equal to 5064668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 + 31. Which is the closest to 0.1?  (a) -2  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55313.\nAnswer: 55313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 9:09 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 43 - 151\/4. Calculate the common denominator of 1227\/54 - (-2)\/(-9) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 (base 4) in base 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a second in milliseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -20055*o**2 - 40085*o + 50 = 0?\nAnswer: -2, 5\/4011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 44 = 4*w, -729 = 150182*w - 150185*w - 124*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 6 = -3*p. Suppose 4*f - 220 = 2*s - p*s, -3*f + s + 177 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 7*o - 4. What is the units digit of c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 1\/4  (c) 2  (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 263*o**3 - 142*o**2.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18099 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 12 - 15 = 0. What is the third derivative of -17*g**2 - 11*g**j - 1018*g + 1018*g - 11*g**3 wrt g?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((75\/(-1500))\/((15\/(-5))\/(-1572)))\/((-5)\/(-25)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-42)\/14)*(-6)\/(-20).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 93809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, m: 11, g: 3, e: 2}. What is prob of picking 2 d, 1 g, and 1 e?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3838 - 3838.1. Which is bigger: w or 395.6?\nAnswer: 395.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17801 - 17766. Calculate the remainder when 76 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 316, 617, 906, 1183, 1448, 1701, 1942?\n\"Answer: -6*f**2 + 319*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -4*t + 173. Let s(n) = n**3 + 33*n**2 - 36*n - 41. Let h be s(-34). Is d(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.014 and -26695192.8.\nAnswer: -26695192.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a + 53*a = -276 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-122)\/4 - (-9)\/(-6). Let u be (q\/(-20))\/(2\/5). Solve -u*b - 2*s - 2 = 0, -5*b - 2*s = 3*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -101*j - 1485. Give u(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -22?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.12 + 3.119999911. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*z**2 - z**2 + 3*z**4 - z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, q: 1, v: 1}. Give prob of picking 4 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 137902 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 + 6*d**2 + 8*d + 3. Suppose 204*f - 185 = 241*f. What is q(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7335809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/145410 and 32\/46583.\nAnswer: 183071190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -528, -1, 0.168, -7, -0.2, 0.5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -297 (base 10) to base 8\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 36 = 26*i. Let m(a) = 17*a**2 + 1. Let z be m(1). Solve 0 = 4*w - z - i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of 2*y - 13 + 32 + 21*y**2 - 4. Let k(u) = 3*u**2. Give k(p(v)).\nAnswer: 5292*v**2 + 504*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/10, 4, -0.03, -0.2, 0, -8.\nAnswer: -8, -0.2, -1\/10, -0.03, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -99 + 103. Suppose 4*m + i*s = 48964, -m + 3*s = 3*m - 48978. Suppose m = 8*q - 4981. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/11))**(-13\/7)*(z\/z**(3\/4))\/z*z**(-4) assuming z is positive.\nAnswer: z**(-1359\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6960?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fxn when three letters picked without replacement from nxffxfxnnxfxf.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*u**4 - 48*u**2 + 44*u**2 - 6*u**3 + 54*u**2 + 2*u + 0*u**4 - 1 - 59*u**2 to x*u**2 + n*u + t*u**4 + o + d*u**3 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -224 - -236. Let f(z) = -3 - 1 + 8*z + x + 6 + z**2 - 8. Let l(m) = -m**2 + m. Let c be l(3). Determine f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 3*h**7\/77 - 31*h**6\/330 - 7*h**5\/330 + 5*h**4\/33 + 4*h**3\/33 - 18*h**2. Determine y so that n(y) = 0.\nAnswer: -2\/5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 729196 times 5?\nAnswer: 3645980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1502 plus -0.4?\nAnswer: -1502.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 11000?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.7 + -1.5. Let m = -18.55 - -18. Let j = 0.05 + m. Which is the nearest to 0.2?  (a) j  (b) -0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y - 8 = -13*y. Put -3, y, -2 in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22928014?\nAnswer: 2, 193, 59399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 11. Suppose -q + 4*i + 15 = 0, 2*q + 0*q - 20 = 3*i. Let m(z) = 6*z**2 + n*z**2 - q*z**2 + 0*z**2 - 26*z. Let v(x) = -x. Calculate m(v(s)).\nAnswer: -s**2 + 26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*h - 8*h + 9*h = -1148 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - (5 + -7)) + -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.3 + 15. Let p = 420 - 786. Let d = p - -363. Which is the nearest to -1\/2?  (a) d  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of -w**6\/60 + w**5\/15 - 4*w**2. Let s(d) = d**3 - 3*d**2. Determine -4*s(x) - 3*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2477819, -4955643, -7433467, -9911291?\nAnswer: -12389115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 66278 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**3*w**2 - 69*a**3*w - 125*a**2*w**2 + w**2 wrt w.\nAnswer: 4*a**3 - 250*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113561 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -895305*k**2 - 132916.\nAnswer: -1790610*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22463 + 31675. What are the prime factors of k?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d + 15. Let j(p) = -7*p + 56. Suppose -g + 12 = 4. Let r be j(g). Give l(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1245 is divided by 600?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/7 + 2258*b**3\/7 + 2252*b**2\/7 - 11282*b\/7 + 6771\/7 = 0. Calculate b.\nAnswer: -2257, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36038 divided by 2.\nAnswer: 18019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001882127 rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 11:30 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 128099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.178 - -0.222. Which is the nearest to -0.2?  (a) n  (b) 16  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m - 20700 = -18*m. Calculate the least common multiple of m and 495.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t**3 + 4*t**2 - 4*t + 3. Let a(q) = -6*q**3 + 5*q**2 - 5*q + 3. What is 4*a(w) - 5*v(w)?\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 689094\/967177 + -2\/13249. Let t = r - 3825\/1168. Find the common denominator of 115\/6 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 427172 and 4764?\nAnswer: 1281516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 2*o - 5, -m + 9 = o - 4*o. Let a(g) = 9917*g - 4. Let w be a(m). Let t = 5455 + w. Round t to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3274, -2, 0.2, -2\/49, -27\/5, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48871 is divided by 298?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6933467 to the power of 1\/2, to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 3 = 0, 91 = 2*i + 4*i - 2*i - 13*v. Let y = -585 + 1077. Calculate the remainder when y is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26183 equal to 26135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*c. Suppose l - 10 = 2. Let x(b) = c*b**2 + l*b**2 - 3*b**2. Let f(n) = 2*n. Calculate f(x(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4374.08601 to the nearest 100.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -u**3\/2 + 5*u**2\/2 + 7*u. Let d(l) = 2391 + 0*l - 4*l - 2386. Give 4*d(c) - 5*t(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + t = 2*t + 14, -t = 4. Suppose 28 = -f + i*f. Suppose -3*x + 41 + f = 0. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54db (base 15) in base 12?\nAnswer: -a4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 591 = 22*x + 503 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 193896392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, m: 7, h: 1, b: 2, u: 2}. What is prob of sequence umuh?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 4 + -22*25\/110.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*n**4 + 13*n**3 - 2075*n**2 - 2*n wrt n?\nAnswer: 432*n + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 185876666 to the power of 1\/2, to the nearest integer?\nAnswer: 13634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 2226?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24468 - -24465. Put -0.5, w, -746, 6, 3 in descending order.\nAnswer: 6, 3, -0.5, w, -746","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1083604.\nAnswer: 2, 61, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {e: 9, b: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/7  (b) -16.4  (c) 7  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 507 is divided by 106.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 22400*c + 672. Let k(y) = 1179*y + 35. Determine 5*j(d) - 96*k(d).\nAnswer: -1184*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -144 + -24?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*j = 17*j + 28 + 278 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(11)*-4)**2 - ((sqrt(11) + 3 - sqrt(11)) + -2).\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1694 * -1.69\nAnswer: 2862.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -221 + 162.5. Let c = -76 - q. Let a = c + 17. Put a, -1, -0.3 in decreasing order.\nAnswer: -0.3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5006 or -5066?\nAnswer: -5066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.46775 litres in millilitres?\nAnswer: 14467.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9340 and 1349163?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 1055115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of 5*g**7\/3 + 346*g**3 + 4*g**2 + 124*g. Find the first derivative of s(p) wrt p.\nAnswer: 1400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*t. Suppose 0 = -t*b + 5*b. Suppose b*f - 3*f = 6. Sort 0, 1, f in ascending order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**2 + 105046*y - y**2 - 105046*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 10 = 5*u, 4*u + 2 = -37*i + 38*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.9686 - 6.54372. Let h = z + 3.57. What is h rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 263363 and 2007.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 92264 divided by 152?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, 4, -9 in ascending order.\nAnswer: -9, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 8, h: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49 + -21. Suppose 2*c + w = 6*c. Solve a + 1 = 0, -2*v - 5*a - c = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(33)\/(5*-1*sqrt(3)))**2 + -4)*-2 - (4 + (sqrt(275) - -2*sqrt(275)) + sqrt(275) + 5)**2*-3)*2.\nAnswer: 2160*sqrt(11) + 672506\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 351\/(-5) - (-3)\/15 - -4. Let j be -53*(4 + g) - 3. Suppose 0*p - 4*p + 4398 = 5*v, -3*p + 4*v = -j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002227381682 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 85267917?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/22)\/((-3)\/4). Let m be 5\/4*((-54)\/45 + 2). Which is the nearest to 2\/3?  (a) -5  (b) 0.3  (c) m  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) - (sqrt(200) + 2 + sqrt(200)) - sqrt(200)))**2 + sqrt(200) - (sqrt(2) - (-2*sqrt(12))\/sqrt(6))) + 0.\nAnswer: 47*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -10000010000111101?\nAnswer: 10000010000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -0.16739762?\nAnswer: 0.33260238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 308160?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3724963535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -5\/4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -q**6\/24 + 21*q**5\/20 - 73*q**4\/8 + 161*q**3\/6 + 147*q**2\/8 - 343*q\/4 - 19. Factor m(f).\nAnswer: -(f - 7)**3*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -846 divided by 6.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - 13*f**2 - 13*f + 17. Let s be n(-9). What is the greatest common factor of s and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 51556 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) -14  (b) -57848  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 596521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**3 - 9*x**2 - 3*x + 17. Let m(y) = y**3 + y**2 - 5. Let j(p) = b(p) - m(p). What is j(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 0.2. Suppose -5*d = 0, h - 3*h = 3*d - 8. Suppose 4*j - 4*a - 37 = j, h*a = 2*j - 30. What is the closest to -1\/4 in o, 0, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5 + (sqrt(187)*2*-6)\/((-2*sqrt(121))\/sqrt(11))).\nAnswer: 30 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 3*p - 294 = 0. Let q = -42 - p. Suppose 45 = -5*u - s + 136, 2*s = -3*u + q. Calculate the smallest common multiple of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46)\/4*(-20)\/575?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110002021 (base 4) to base 11.\nAnswer: -56718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*4*1\/(-10). Let d be (-1)\/q*(-5 + -13). Let r(y) = 11*y + y - d*y - 6. What is r(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 47614\/5 in -5, 0.5, 1\/3, 1, -0.7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k**3 + 4*k**2 - 9 - 6*k**2 - 110*k**4 + 112*k**4 to the form g + s*k**2 + i*k + t*k**3 + u*k**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 less than -296?\nAnswer: -295.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 580837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1086 (base 13) in base 14?\nAnswer: bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168290009?\nAnswer: 4657, 36137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of b**9\/3024 + b**6\/360 + 2*b**3\/3 + 1. Let c(t) be the third derivative of y(t). What is the third derivative of c(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((2 + -3*2*2*sqrt(425)*-1)*-6)**2.\nAnswer: -2203344 - 8640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4601 (base 7) in base 9?\nAnswer: -2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/474 and 62\/9.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/83  (b) -0.04  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1636 - 4*f**2 - 20*f - 1636)*(3*f**2 - 5*f**2 + f**2 + 3*f - 3*f - 2*f**2 + (0*f**2 + 2*f**2 - f**2)*(-1 + 0 + 0) + 3*f**2 - 3*f**2 + 7*f**2).\nAnswer: -12*f**4 - 60*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -956423*x**2. Let r(k) = 100*k**2. Give r(f(s)).\nAnswer: 91474495492900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 7074*o**2 - 7066*o**2 - 7041*o + 7041*o.\nAnswer: 8*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4 - 8 = 0. Let g(u) = -u**3 - 6*u**2. Let t be g(-6). Suppose t = -k*w + 9*w. Solve w = 3*m + 2*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -2. Suppose -3*s = 4*t - 489, -652 = s - 5*s + p*t. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**5\/4 + 445*l**4\/4 + 3046*l**3 + 12480*l**2 = 0.\nAnswer: -416, -24, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 17*v**2 + v + 1. Calculate q(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k. Let w(f) = -218*f - 34. Calculate y(w(m)).\nAnswer: -218*m - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9284)\/(-98736) - 2\/24. Let i = -356\/1683 - x. Let k = 6 + -14. Which is the third biggest value?  (a) 2  (b) k  (c) -3  (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2993 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2105451 (base 7) in base 13?\nAnswer: -8b836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32*y**2 - 135 + 135 + (4 + 2 - 3)*(0*y**2 - y**2 + 4*y**2) to d*y + r + a*y**2 and give a.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 8559432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from zxmdmznxmvnzdmdnn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 39*y**2 - 102*y - 383. Let b be t(33). What is the second biggest value in 5, 0.3, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 1. Suppose -5*x - q - 7 = 0. Let j(z) = 2*z**2 - z + 2. Calculate the remainder when j(x) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f + 3815*f - 122753 - 102686 = 0 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -68 - (30 + (114 - 201))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, t: 1, r: 2}. What is prob of picking 1 t and 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 AM and 4:38 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2235496.\nAnswer: 2, 227, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -873.\nAnswer: -1\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001633 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*h + 3*n - 20, 4*h + 4*n = 8. Let u = -20 + 29. Calculate the least common multiple of u and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.2328606 rounded to 1 decimal place?\nAnswer: 50.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-4 + (0 + (sqrt(448) - (sqrt(448)*2 - sqrt(448))) - (sqrt(448) + 2*sqrt(448) + 5)))*1)**2.\nAnswer: 288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s*s\/(s*s**(4\/5)\/s))*s*s\/(s\/((s*s*s*(s**(4\/9)*s)\/s*s)\/s)))**34\/(s**(1\/5)*s**2)**(3\/10) assuming s is positive.\nAnswer: s**(79943\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 4*j = -32, -3*p - 7*j = -5*j - 68. Calculate the remainder when 205 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3*f = 1113, 0 = -f + 1. Suppose b + l = d, -2*b - 2*b + 1156 = -4*l. Suppose 3*o - b = -29. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of -3 + 1\/3*n**3 + 0*n - 1\/2*n**2. Let c be o(0). Solve -19 = -5*f - c*i - i, -2*f - 2*i + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 1\/4, 4.4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2415\/878 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 25391139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.06 less than 0.1148076462?\nAnswer: -0.9451923538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/(-77))\/((-6)\/(-21)). Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12653863 is divided by 258242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220188 and 1239.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/114346226 or -1?\nAnswer: 13\/114346226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 12:47 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -215*k + 6 = -209 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 246460 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 22 = 8. Let z be (8\/w - 7\/35) + -26. Let i = z + 38. Solve -b - 5 = -0*b + g, -3*b - g = i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 316001 - 315978.9991. Let t = 23 + -1. Let x = t - g. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73029822 divided by 6.\nAnswer: -12171637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 4 - 34. Let t = x + -1. Let m(a) = a + 2. Calculate m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = 82 - 268. Suppose 2*b + 4*z = 182, -19*b + 16*b - 2*z = -269. What is the remainder when b is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*h**4 - 1017*h**3 + 5763*h**2 - 2115*h - 2625 = 0. What is h?\nAnswer: -175, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 49313837 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Is 1036 < 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 6 = -2*a + b, -b = -4*a - 21. Let p = a - 1. Let m be ((-8)\/p)\/(-14 - -4). Put -0.2, 1\/4, m in descending order.\nAnswer: 1\/4, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 606 + -604. Differentiate 13*l**4 - 78*l**4 - 5*l**3 - 2*l**3 - 101 + 7*l**3 + a*l wrt l.\nAnswer: -260*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 3*u + 84. Let n be (-18)\/(-4)*u\/21. Let x(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 3*a**2 - a. What is x(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 13145 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1393608280 to the power of 1\/2, to the nearest integer?\nAnswer: 37331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + 2 - (-35 + 2 - (831 - 855)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxk when three letters picked without replacement from {l: 1, x: 1, e: 1, q: 2, k: 1, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n - 64 + 0 + 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*a**3 + 20*a**2 + 60*a = 0. Calculate a.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 100751.1561ns in weeks?\nAnswer: 0.00000000016658590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1437, 2862, 4285, 5706?\n\"Answer: -v**2 + 1428*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66564.5 - -66565. Let i be (-6)\/15 + (-46)\/10. Which is the nearest to -2?  (a) -0.2  (b) -1  (c) i  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = 56*u + 43*u - 91*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 3*p - 10 = 0, 2*p - 4 = -9*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 6, 0.79, -5 in descending order.\nAnswer: 6, 0.79, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 15029236 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 252 = -3*x - 2*o, 0 = 2*x - o + 168. What is the tens digit of 1\/((-3)\/9) + (-4 - x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/1294 + 1939\/2588. Which is the nearest to 4?  (a) z  (b) -2\/15  (c) 0.3  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-7)*c\/(c\/c**(-3))*c**(-8)*c*c**(3\/7)\/c assuming c is positive.\nAnswer: c**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 + 4.95. Let w(p) = p + 8. Let v be w(-5). Suppose -2*g + 10 = v*g. What is the third biggest value in g, 4, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**2 - 48*o - 25. Determine l(25).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 3*c - 29. Let z(x) = x**2 - 22*x - 40. Let s be z(-18). Calculate the remainder when c is divided by (((-8)\/(-5))\/2)\/(34\/s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2145 = -3*n + 5*m - 409, -2*n - 5*m + 1124 = 0. Calculate the greatest common factor of 3289 and n.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41320790 divided by 4270\nAnswer: 9677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34723*t - 45*t**2 + 34723*t - 17*t**2 + 3*t**3.\nAnswer: 3*t**3 - 62*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 0 - (-3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 444 + 3401304?\nAnswer: 3402051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -55*z**3 - 3*z**2 - 2*z + 1. Let w be j(-1). Suppose 0 = 3*b + 104 + w. Let y = b + 90. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4*y**2 + 165*y + 9. What is g(-40)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9616 + 17936. What are the prime factors of b?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 187888369 to the nearest integer?\nAnswer: 13707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/64)*i)**(4\/21) assuming i is positive.\nAnswer: i**(65\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 655*i - 655*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7913 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 82256 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 1.5. Let w = 78.91 + -79. Let x = w + -1.91. Put k, -2\/3, x in descending order.\nAnswer: k, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -102 + 1214?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*m - 4*m + 3*m)*(6 + 0 - 3) + m - 6 + 6)*(2*m - 2*m - m) to the form k*m**2 + w + h*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*d - 12 + 30, 3*d - 3 = 0. Let t = 0 - w. Put 0.4, 0.05, t in decreasing order.\nAnswer: 0.4, 0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2*sqrt(77)*-5)\/((sqrt(700) - 1*sqrt(700) - sqrt(700) - sqrt(700)) + sqrt(7)).\nAnswer: -20*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -53*c - 427. What is x(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23108 - -23119. Calculate the remainder when 609 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from {b: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/9)\/(2\/(-1))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 688360, 5507075, 18586446, 44056801, 86048468, 148691775, 236117050, 352454621?\n\"Answer: 688388*r**3 - r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (56\/49)\/(2\/7). Suppose 3*l - 4*l - 3 = 0, 2*l = -i*y - 558. Is 12 a factor of (y\/(-161))\/((-2)\/(-252))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3 = -2*u, 4*q + 1 = u - 4. Sort 5, 4, u, -3 in increasing order.\nAnswer: -3, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (-6 - -3) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*l**5 + 1137*l**4 - 1137*l**4 + (0*l**4 + 0*l**4 + 2*l**4)*(-2 - 4*l + 0 + 2*l).\nAnswer: 18*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*i + 0*i**3 - 14*i - i**3 + 178*i - 86*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6 + (14 - 19)\/(10\/(-12)). Factor -2\/15*n**2 - 2\/3*n**4 - 4\/15*n + 16\/15*n**3 + c.\nAnswer: -2*n*(n - 1)**2*(5*n + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/((-1)\/((8\/120)\/1)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -4\/3 - 2\/3*o**4 + 14\/3*o + 10\/3*o**3 - 6*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 112*m. Let c(d) = -3*d**2 + 5*d - 5. Let x(j) = -2*j**2 + 4*j - 4. Let p(o) = 4*c(o) - 5*x(o). Give w(p(u)).\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -97415 - -2155071\/22. Let l = b + -1079\/2. Let u = 5761\/10 + -577. Calculate the common denominator of u and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/5 and 41\/61.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2. Let i(f) = f**2 - 2*f - 3. Let n be i(-2). Let g(w) = 6*w - n*w - 4*w. Give g(o(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/((a**(-42)*a)\/a))\/a)\/a*a*a)\/a**26)\/(a**3)**(-1) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/4)\/x**(-5))**6 assuming x is positive.\nAnswer: x**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*v**2 - 3055347*v - 4430662?\nAnswer: -20*v - 3055347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + c = -f - 4, 4*f + 12 = 5*c. Suppose b = -r + f*b + 30, -74 = -3*r - b. Suppose 2*n - 4*n + r = 0. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 3*v - 4. Let b(p) = -p. Let l(i) = -3*b(i) - y(i). Let g be l(0). Suppose -2*o - g = -20. Solve 3*h - 20 = -4*s + 2, -o = -s - 2*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -9*h**3 - 4539*h**2 - 6044*h - 3953. Give i(-503).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rkgttttxxt. What is prob of sequence rx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fftkkhkkkfkfk. What is prob of picking 2 k and 1 h?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/24, 0.3, -2, -59525?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -441 + 440.8. Let v = 1.2 - -4.8. Let a = v - 6.3. Sort 0.3, a, w in decreasing order.\nAnswer: 0.3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 6*r**2 - r. Let v be k(-6). Let x be (2\/v*0)\/2. Suppose x = -2*f + 2*g - 5*g + 53, 5*f = -5*g + 135. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*w = -69*w + 114 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**2 + 8*a + 7. Let g be p(-6). What are the prime factors of 28 + g + -2 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 74461\/7 or 10637?\nAnswer: 74461\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*r = x + 56*r + 27, 2*x - r - 12 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9394 and 44408?\nAnswer: 488488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddo when four letters picked without replacement from ooddddoood?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*j - 17*j - 3 = k, 5*k + 15 = j. Solve j*p = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*c - 1167*c**2 - 7*c - 2 - 2*c**3.\nAnswer: -2*c**3 - 1167*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6036 + 9017. What are the prime factors of a?\nAnswer: 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 10*c - 9*c. Let p be (-3 - 0)\/(c\/20). What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes before 10:24 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104 + 196 - 19*d**2 - 92.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -385723 divided by -13\nAnswer: 29671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44495 and 132?\nAnswer: 533940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**5 - 43*z**4 - 104*z**3 - 28*z**2 + 103*z + 68. Let x(l) = -l**4 - l. Let f(g) = -c(g) + 3*x(g). Determine h, given that f(h) = 0.\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7295*s**2 + 1164*s + 15243*s**2 - 7007*s**2 wrt s?\nAnswer: 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -100 or -981?\nAnswer: -981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*r**2 - 20*r**2 - r**3 + 9*r**2 in the form i*r**2 + f*r**3 + p + b*r and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (9 - (14 - -12)) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5 = -11. Let h be (39\/a)\/(6\/(-16)). Suppose m - h = -4*m + 2*k, -12 = 4*k. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77374.23mm in micrometers?\nAnswer: 77374230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -6, 2, 0.1, -54?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 696743029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -203.7.\nAnswer: -40.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/15 - 78\/(-15) - 0. Suppose -5*i = -b - 40. Calculate the greatest common factor of i and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 7 + 3)*(1 + 2 - 1) - 2 + 0 + 1 + 39 + 260 - 104)*(3*y + 0*y - y + (-5*y + y + 2*y)*(4 - 2 + 0) + y + 0 + 0 - 3*y + 4*y - 3*y - y - y + y).\nAnswer: -752*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40.2912774 + -0.2913094. Let v = -40 + b. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 40  (b) 2  (c) 79  (d) -0.5  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56451211 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60 by 464746.\nAnswer: -30\/232373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -14*x - 1. Let m be j(-1). Suppose m = 5*r + 3. Solve -r*u + 3*v - 2 - 5 = 0, 0 = 2*u + v + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 348, 2567, 8586, 20301, 39608, 68403, 108582, 162041?\nAnswer: 230676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.02, 12560, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (565 + 369 + 350 - 130)*(-2*g**2 + 4*g**2 + 0*g**2).\nAnswer: 2308*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 131 + -128. Sort 0.4, 7, m in increasing order.\nAnswer: 0.4, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 9*f = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 + -12. Find the third derivative of o**2 + k*o**4 + 18 - 7640*o**3 + 7640*o**3 wrt o.\nAnswer: 936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 (base 10) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0397 + -1.4267. Let k = s + 1.4. What is k rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -13) + -22 - (-4 + 6 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*q + 8 = 6*c, c - 3*q + 12 = 0. Suppose -3*j + j + 10 = c. Suppose 0 = -5*r - 2*l + 87, -39 = -5*r + l + 45. Solve j*i = r + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 14*k**3 - 164*k**2 + 30*k + 24. List the prime factors of p(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 + 15. Is 58\/4*t\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, -3, 0.4, 144, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 7:46 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 977064.\nAnswer: 2, 3, 11, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2752 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-6))\/(474\/(-711))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53 + -11. Let g = t - 22. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 6 = -4*c. Let g(t) = t + 2*t + c*t**2 + 3*t**2 - 8*t**2. Give g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2844067277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*u**2 + 3*u + 5*u + 49 + 7*u - 16*u - 49.\nAnswer: -22*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-122 - (-7 + -3 + 10 + -11)) + 9?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 19) + 47 + -21 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 2*c - 3. Let w(u) = 6*u - 1. Let d(n) = 5*n - 1. Let m(p) = -3*d(p) + 2*w(p). Let x be m(4). List the prime factors of o(x).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27\/(-22) + (-182)\/(-183183)*61\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bos when three letters picked without replacement from bggsbov?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -9*m - 3. Let w be o(-2). What is the highest common factor of 135 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.36 + -15. Let x = -0.64 - h. Let u = -1\/11 - -25\/33. What is the closest to x in u, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 517\/10 or 52?\nAnswer: 517\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 159223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 4. Let x = 150 + -1052\/7. Let i be ((-10)\/(-80))\/((-1)\/(-4)). What is the closest to i in x, y, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 152 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - -5*(-2*sqrt(117) + sqrt(117))))*-5*-3)\/(sqrt(9) - 4*sqrt(1089) - (sqrt(9) - (sqrt(9) - (sqrt(81)*6 - sqrt(9))))).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.93028 millilitres in litres?\nAnswer: 0.05793028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.422736l in millilitres?\nAnswer: 1422.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (6 - (7 + -2) - -21) - -26.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-1*sqrt(204)*-2*-3)\/((sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4)*3 - sqrt(1452)*2)*1).\nAnswer: -6*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1281, 7253, 23359, 54633, 106109, 182821?\n\"Answer: 839*c**3 + 33*c**2 + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-28)*8*(-14)\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 123.56, 1, 4\/9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 24, 31, 38?\n\"Answer: 7*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -99, -7, -8 in decreasing order.\nAnswer: 2, -7, -8, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -57*g*j - 11*g*q**2 - 68*g*q - j**3*q**2 - 2*j*q**2 wrt j?\nAnswer: -57*g - 3*j**2*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -207, -149, -89, -27, 37?\n\"Answer: g**2 + 55*g - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of y**6\/6 + 7*y**5\/5 - 99*y**4\/4 + 99*y**3 - 135*y**2 - 2808. Factor q(d).\nAnswer: d*(d - 3)**2*(d - 2)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.418*0.3\nAnswer: 0.1254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16084741?\nAnswer: 211, 76231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 162708320 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2034 - -2031.938. Let f = q - -0.062. Which is the closest to f?  (a) -0.2  (b) 1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 5:08 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*n - 25*n + 15*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 407831 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 500951516 to the power of 1\/2, to the nearest integer?\nAnswer: 22382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**4 + 39*i**3 - 96*i**2 - 336*i + 1152 = 0.\nAnswer: -3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 1908\/233723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/2 + 60*h**2 + 4683*h\/2 - 2400.\nAnswer: -3*(h - 64)*(h - 1)*(h + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8855857037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.2, -82 in descending order.\nAnswer: -0.2, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4 = 7. Suppose -i*v + 5*v = 4. Let f = 0.04 + 3.96. What is the second smallest value in f, v, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**4\/24 + y**3\/6 + 5*y**2 - 8*y. Let f be (-3)\/9 - 4\/6. Let s(q) = q**2 - 3 + 0*q**2 + 0. What is f*a(i) - s(i)?\nAnswer: -i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 9*p + 8. Let n(f) = 23*f**3 + 15*f. Let r(i) = -34*i**3 - 23*i. Let z(s) = p*n(s) - 5*r(s). Find the second derivative of z(m) wrt m.\nAnswer: -84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192376907.\nAnswer: 137, 1404211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1443687 divided by 5\nAnswer: -1443687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(200)*2*2*-5*-4 + (sqrt(200)*-2 + -5 + -4)*-1))**2.\nAnswer: 236160*sqrt(2) + 21518096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 16*c - 8. Let t be w(-10). Let g = t - -118. Let f be (-9)\/21 - (-356)\/14. What is the highest common factor of g and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2632 divided by 8\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1004150.9 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369900 is divided by 2991?\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5280.3139151 + -0.5.\nAnswer: 5279.8139151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -912 - -2687. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 4*p - 18. Let a = -33 - -38. Let v be y(a). Solve 0 = q + q + v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9658 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 513423 and 5?\nAnswer: 2567115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (15*y - 8*y + 10*y)*(3 - 3 - 3*y) - 26*y**2 - 4*y**2 - 2*y**2 - 4 + 3 - y**2 - y**2 as n*y + j*y**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 63473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -15*z - 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51128401741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 3*l**4\/4 + 17*l**3\/6 + 15*l**2\/2 + 67*l - 1. Is a(29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -273 - -5?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -3 and 383 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1170303589 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 196145 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, s: 12, m: 4}. What is prob of sequence ms?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -c**6\/120 + c**5\/30 - c**4\/24 + 1845*c**2. Factor j(y).\nAnswer: -y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/10 + 290\/50. Suppose -5*y - 25 = k, 2*y - 10 = m*k + 4*y. Suppose k = -35*w + 32*w + 135. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -8*y**3 + 26*y**2 + 22*y - 6. Let p(z) = 9*z**3 - 27*z**2 - 17*z + 5. Let f(s) = 6*p(s) + 5*v(s). Factor f(c).\nAnswer: 2*c*(c - 2)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 + 0*v**2 - 10*v**3 - 5*v**2.\nAnswer: -10*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + 12 - (-2 - -6)) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -42903, -42831, -42759, -42687, -42615?\n\"Answer: 72*t - 42975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*-81.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -u**2\/11 + 1645263*u\/11 + 3290530\/11 = 0.\nAnswer: -2, 1645265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -5*x + 9*x - 1 - 5*x. Let v(u) = -u - 2. Suppose 4*n = -2*p + 6, -4*p - 2*n = -2 - 16. Calculate p*r(b) - 3*v(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -5\/24*l**4 + 0 - 1\/120*l**6 + 1\/3*l**3 + 1\/15*l**5 + 0*l + 130*l**2. Factor t(q).\nAnswer: -(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2343619798 divided by 2.\nAnswer: 1171809899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 58*l**2 - 509*l - 8. Give m(6).\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z - 6. Suppose 0 = 2*w + v + 16, 0 = -w + 2*v + 3*v - 8. Let d be t(w). Let i = 48 - d. Calculate the highest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76167*x**3 + 103084*x + 76166*x**3 - 103084*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 44*t**2 + t + 1. Is 35 a factor of k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {j: 6, x: 4, b: 1, d: 2, g: 2, e: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6603617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*g - 85162 + 20087. What is the greatest common divisor of g and 274?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 333619030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = -2*y + 4*y - 5*w, -2*y + w + 101 = 0. Suppose -38 = -4*q + k - 4*k, y = 5*q + 5*k. What is the smallest common multiple of 12 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(2 - (-3)\/(-2)). Let a be q*(15\/(-18))\/(-5). Factor 0*f**2 - 4\/3*f**4 + 0 - a*f**3 - f**5 + 0*f.\nAnswer: -f**3*(f + 1)*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -844 = -32*b + 30*b. Let a = 805 - b. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 493 + -482. Let t(i) = -27*i**2 + 61*i + 34. Let d(j) = 15*j**2 - 31*j - 16. Let k(m) = y*d(m) + 6*t(m). Factor k(z).\nAnswer: (z + 7)*(3*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -1 - (0 + 6 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 + 12\/5*t**5 + 14 + 2\/3*t**3. Find the third derivative of a(g) wrt g.\nAnswer: 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {f: 4, h: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 321*a - 4898. Calculate d(15).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 3) + (7 - 8 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 357 - 356. Factor -3*u**2 - 52*u + n + 76*u - 4 - 1 - 11*u**3 - 6*u**2.\nAnswer: -(u - 1)*(u + 2)*(11*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 2703?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -183 by 3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 15289782 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 2*z**2 + 5*z + 1. Let i = 7 - 11. Let x be m(i). Suppose 5*c = x - 3. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-6) - (-1023)\/(-279).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.597007 micrograms to grams.\nAnswer: 0.000004597007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 145 a factor of 6971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*b*n**4 - 57*b*n**2 + 41*n**4 + 2*n**2 wrt n?\nAnswer: 48*b*n + 984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3251*s**2 - 3251*s**2 + 76*s**3.\nAnswer: 76*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scpcccwcc. Give prob of picking 1 p and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14*115\/203826*(48\/10)\/(-4).\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/9*-3*143. Let d(r) = 13*r. Suppose -1 = f - 2*f. Let v be d(f). Calculate the highest common divisor of v and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + n - 4. Let i(g) = -3*g + 2. Let b be i(n). Let j be ((-8)\/b)\/((-7)\/(-140)). Solve 0 = f + 3*f - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*j = -2*a + 58, -a + 24 = -4*j. Let t = -47\/3 + a. Factor 0*l - 1\/3*l**2 - t*l**3 + 0.\nAnswer: -l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1442504010 - 5?\nAnswer: 1442504001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.17 - 5.47. Let y = 67\/5 - 13. Which is the third biggest value?  (a) 3  (b) 7  (c) v  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6*3*(-6)\/27. Suppose -1 + 6 = 5*i - v, 0 = -5*i + o*v - 10. Let x(j) = j**3 - j**2 - 6*j + 5*j**i - 2 - 2. Calculate x(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1416182471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*24\/(-324)*36?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + (333 - (-15)\/(-5)). Suppose -o + n + 39 = -43, 4*o - 3*n - b = 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -71579\/14430 + -3\/481. Find the common denominator of 43\/45 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((5 - 2) + -1)\/((-3182)\/(-74))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(-4) - (-4 + -3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -7*f + 6*f. Suppose 4*d = 3*m - 7, -1 = m - f*d + 2. Calculate the greatest common divisor of 45 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/1 + (-9)\/(9\/2). Find the third derivative of s*y**2 + 23*y**4 + 18*y**2 + 0 + 0 wrt y.\nAnswer: 552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 611 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29638 is divided by 2117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y**2 - 54*y + 36. Let l be c(23). Are -148 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3261 - 89.7139. Let s = 90 + q. Let a = s + 0.24. Is a less than -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 38 = 13. Let k(b) = -4 - 5*b**3 + 7*b - 2 + 4*b**2 + 4*b**3. Let g be k(z). Solve r - 25 = -g*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of a**6\/15 - a**2 + 5*a. Differentiate b(k) with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 8:36 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**2 + 3*g**2 - 2*g**2)*(3 - 14 + 13) + 0*g - 2 + 2*g + 0*g**2 - g**2.\nAnswer: -5*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.08*450\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57914.635618 - -57915. Let o = n - 0.3677. What is o rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/2)*f)**(2\/55)*((f\/f**(-6))\/f)\/(f\/f**(1\/2)*f)*f**(-2)\/(f*f\/(f\/(f\/f**3*f*f))*f*f)*f\/(f**(-2)*f)*f**(3\/4)*f assuming f is positive.\nAnswer: f**(727\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -u**3 - 137272*u**2 + 411825*u = 0?\nAnswer: -137275, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 72 - 68. Put l, 0.4, 2\/13 in increasing order.\nAnswer: 2\/13, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34\/1360*1184)\/((-12)\/(-15)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -80*a**5 + 26760*a**4 + 67315*a**3 + 28635*a**2 + 3370*a = 0.\nAnswer: -2, -1\/4, 0, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**4\/5 - 203600*s**3 - 129540499998*s**2\/5 + 203600*s + 25908100000 = 0. What is s?\nAnswer: -254500, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2, -0.08, -1\/271, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -61165 - 24?\nAnswer: -61211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-324)\/312*2\/3. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**2\/(k*k**(3\/5)\/k) assuming k is positive.\nAnswer: k**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 1 - 4)*(4*m - 4*m - 2*m) - 2*m + 3*m + 0*m to g + p*m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 106032283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 1123*p**2\/2 - 120*p - 944. Find the first derivative of t(o) wrt o.\nAnswer: 1123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 35, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 88 and -120?\nAnswer: -10560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-513)\/(-684) - 21\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h - 7*h**3 - 2*h**2 - 4*h + h - 1 + 0*h**2. Let w be v(-1). Which is smaller: 5 or w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -2 + (7 - -5) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -604 or -603?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - q - 1. Let v(r) = 6*r**2 - 8*r - 8. Let c(h) = -24*f(h) + 3*v(h). Let d(t) = 2*t**2. Determine c(d(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -1.27\nAnswer: 6.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*x + 1, -4*x + 28996 = 4*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/17  (b) 0.5  (c) 0  (d) -2346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0.13727  (c) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7084, -7097, -7116, -7141?\nAnswer: -7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (90\/(-315))\/(295\/10*8\/28)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.2  (b) -1\/32  (c) -5  (d) 42\/5  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -26 in 0.9, -3, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = 12, 67*p = 68*p - 4*x + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*i - z - 18 = 45*i, 4*i + 75 = -3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + -21 - (2 - -3) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3239387 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 5 - 10 = -h, -4*u = 3*h - 46. Differentiate 234 + h*b**4 - 434*b**3 + 434*b**3 wrt b.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 4*x + 11. Let y be l(-8). Let k = y - -34. What is the highest common divisor of k and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 4:16 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1791985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*o = -105*o + 159*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -6. Let n be 18\/8 + 1 + -4. Let g = 349\/28 - 82\/7. Which is the nearest to u?  (a) g  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2972055247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13, 31, 65, 121, 205, 323?\n\"Answer: x**3 + 2*x**2 + 5*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-20) - (-2)\/4 - (-8)\/896*7\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 489821098 a multiple of 4501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*h + 693 = -36*h. Suppose -4*m + 43 + h = 0. What is the greatest common divisor of m and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/45 and 74\/21663.\nAnswer: 108315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.3 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (12\/10)\/((-6)\/20). Let i be ((1 - 2) + 2)\/(h\/(-12)). Let 0*w**2 - 5*w**2 + 13*w - 375*w**i + 370*w**3 - 3*w = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0598 + 1.9427. Let n = 27 - 25. Let l = t - n. What is l rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**(-4))*y*(y\/y**(-10))\/y)\/(y**(2\/9))**(1\/42))**47 assuming y is positive.\nAnswer: y**(62134\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 22*b**3*n*t + 660271*b**3*t - 28*b**2*n*t - 66*b**2*n - 6*b**2*t + 2*b*t + 10*n*t - 5 wrt b.\nAnswer: 132*n*t + 3961626*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16403 - -16403. Let s(m) be the second derivative of -4\/3*m**4 - 27*m - 1\/5*m**5 + w - 4*m**2 - 10\/3*m**3. Factor s(j).\nAnswer: -4*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by (3 - 2)*(14 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phwpvwhppppwhwvppwh. Give prob of sequence vp.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3496355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 0 - 7) + 90 + -71 - 48?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4200 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33356, -33042, -32726, -32408?\nAnswer: -32088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3*m = 1320, 4*m = 5*a + 7*m - 6600. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20541*s**4 + 26113 wrt s.\nAnswer: -82164*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27571.2 micrograms to milligrams.\nAnswer: 27.5712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-4) + -2 + 5841\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1aceb + -3d?\nAnswer: 1acad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 391 = 5*a, -5*a - 415 = 7*p - 2*p. Does a = -79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 82572 divided by 84\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-4)\/((-4)\/(-2)) + (-14 - -50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*p - 1 = 0, -f + 8 = -0*f - p. Let m(q) = 2*q**3 + 19*q**2 + 9*q + 1. Let i be m(-9). Solve 4*g + i - f = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -4751, -5345, -6335, -7721?\nAnswer: -9503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -2*m**4\/17 + 52*m**3\/17 - 430*m**2\/17 + 1100*m\/17 = 0.\nAnswer: 0, 5, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((52\/(-6) + 9)\/(-1) - (-7)\/48)\/3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 8:01 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -2*i + 5102 - 5074, 0 = -2*i + 28 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**5\/20 - w**4\/3 + 4*w**3\/3 + 1071*w**2. Let g(s) = 3*s**2 + 7*s - 7. Give -6*g(c) - 5*t(c).\nAnswer: -3*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 230 = 4*h. Suppose 0 = -10*a + 8*a + h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 34268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1465*o + 2134 - 11701 = 9478 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (690\/8)\/((-19)\/(-76)).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 19*h**2 + 81*h + 23. Give f(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + n. Let r be k(0). Find s, given that -1\/2*s**5 + 0 - s**3 + 0*s**2 - 3\/2*s**4 + r*s = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m**2 + 23*m + 13. Let w be b(-11). Suppose 4*u = w*u + 8. What is the lowest common multiple of 18 and (-2*u\/6)\/((-66)\/99)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 2*f**3 + 3*f**3 - 3*f)*(0*f**2 + 4*f**2 - 5*f**2).\nAnswer: -f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -303.1 + 303.103033. Round v to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3870682.2 milliseconds in hours?\nAnswer: 1.0751895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 96 = 4*v, -5*v - 120 = b - 0*b. Let y = v + 24. Suppose -5*q + 3*q + 48 = y. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrrzzzorzrrzzzrzrzzz. What is prob of sequence ro?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11535067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**4 + 2*x**3 + x**4 - x + 2*x to the form o*x + t*x**3 + d*x**2 + u*x**4 + m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*j - j**3 + 10*j - 1 - 23*j to k*j**3 + b*j + t*j**2 + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 7:32 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7237319 is divided by 75?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3083 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2095.392 + -2101. Round a to one dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 926737758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -11101000110110011100000?\nAnswer: -11101000110110011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24.15 - 24. Let g = -0.05 + z. What is the third smallest value in g, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*c**2 - 270 + c**3 + 50*c + 69 - 42 + 85*c = 0. What is c?\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726 is divided by 486?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**4\/17 - 4962*i**3\/17 - 725086*i**2\/17 + 730050*i\/17 = 0. Calculate i.\nAnswer: -2325, -157, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 0 + 13 = 0. Let p be (6 + k)*130\/325. Solve 0 = -p*w - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.02 - -7. Let w = -0.08 + z. Put w, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 2*d + 28, -11 = -f + 4*d + d. Solve -3 = -w - f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + t + 8 = 3*t, 0 = -3*a - 5*t + 11. Put 1, 4, -2, a in descending order.\nAnswer: 4, a, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j + 4*j + 3*j. Suppose -n - 2*t + 8 = 0, n + 3*t - 5 = 2*t. Let u(m) = -4*m**2 + 2*m**2 - 2*m**2 + 2*m**n. Calculate u(l(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 4*b + o - 32, -5*b - 3*o = -16. Put b, 4, -1, -2 in descending order.\nAnswer: b, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from elvolvl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-72)\/(-30))\/((-5625)\/50000)*(-3)\/(-10)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 8*g**2 + 2. Let q = -1 + 9. Let m be b(q). Let r = 1943 - 1939. Solve -2*u = r*a + 8 + m, 0 = -5*a - 3*u - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + ((-6 - 36) + -2 - -10)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 265135053 to the power of 1\/2, to the nearest integer?\nAnswer: 16283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -148 + -15935?\nAnswer: -16083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16020 by -4005.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 864*i - 544*i - 293*i - 864 = 0 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 22*i + 336 = 541, -2*j - 3*i = 3*j + 2*i - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2 + 2 - 3*w**3 + 3 to the form f*w + v*w**2 + z + c*w**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*m - 9 = -0*m, 13 = -3*j - m. Let g(f) = -32*f. Let h be g(j). What is the greatest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8*-0.0787.\nAnswer: 0.06296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-38.279872.\nAnswer: 153.119488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 889879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 129228 and 309.\nAnswer: 13310484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 3*u**2 + u - 6. Let c be v(-2). Solve c*j + 15 = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**5\/60 + s**4\/8 - s**3\/3 + s**2. Let f(v) = -2*v**2 - 5*v + 4. Let b(z) = -4*f(z) - 7*n(z). Solve b(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 4 = -2*g. Let h = 3 + -8. Which is the closest to g?  (a) -2\/5  (b) 0.5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 - 3*l**2 - 63*l**2 - 29*l**2 - 75*l**2.\nAnswer: -174*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5188382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/7)*m*m)**45*m**6\/m**1*((m\/(m\/m**(2\/9)))\/(m*m**(-2\/13)))**(-31) assuming m is positive.\nAnswer: m**(104176\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y = -31*y - 5060. Round y to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12369 and 4185.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddidddddgiiiiddi. What is prob of picking 1 d and 1 i?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9498287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c = l + 5*c - 2, l + 3*c + 6 = 0. Let s be 2\/l + (39\/45 - 0). Factor s*u**3 - 1\/5 + 3\/5*u - 3\/5*u**2.\nAnswer: (u - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 1334*f - 450. Calculate the least common multiple of a(5) and 4976.\nAnswer: 24880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - -5. Suppose -4*j = 6*g - g - q, -2*j - g = -8. Suppose 0 = -j*a + 10 + 5. Solve 0*i = i - a*h - 16, -4*i + 7 = -h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*n**2 + 39384*n + 2259700.\nAnswer: 22*n + 39384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -195781 - -126.48318?\nAnswer: -195654.51682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*o + 24 = -29*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 21228, 4, 0 in increasing order.\nAnswer: 0, 4, 21228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0\/t**2*((t**(2\/11)*t)\/t)\/(t**(-1\/2)*t))**(-1\/17) assuming t is positive.\nAnswer: t**(3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3057901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -12*o + 31. Determine r(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 x, and 2 l when four letters picked without replacement from lttqooxbolltltloo.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -3*c + 0 + 1\/3*c**3 + 1\/6*c**4 - 2*c**2. What is the tens digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 4*u**3 - u**2 - 26*u + 51. Give g(-5).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5453)\/190)\/41*((-2)\/(-14) + 0)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 o when four letters picked without replacement from {p: 2, o: 1, x: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/42)\/((-128)\/(-1152)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52311741.\nAnswer: 3, 17437247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 1\/18*g**3 - 1\/36*g**4 + 1\/6*g**2 - 4*g - 1\/60*g**5 - 4. Let t(r) be the first derivative of k(r). What is s in t(s) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 206058 and 10004?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + 25 - 2125\/125. Let f be (-2)\/7 - (-60)\/14. Let r(n) = -n**2 + 2*n. Let z(i) = 3*i**2 - 5*i. Give f*z(b) + y*r(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2. Let v(s) = s**3 - 2*s**2 - 2*s + 4. Let m(o) = -o**2 - 51*o - 345. Let x be m(-8). Determine x*v(r) - 2*j(r).\nAnswer: -r**3 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11\/((3\/(-21))\/((-6)\/(-7))). Which is smaller: m or -65?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.363 + -0.037. Which is the fourth biggest value?  (a) 5  (b) 0.9  (c) 0  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 0 = 4*m - 3, -21 = -5*m - 2*s. Solve 4*u = -2*g - 19 - 1, -m*u - 15 = 5*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-5 - ((-4 - -8) + -3)) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z - 378 + 376 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 8:18 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 less than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - u + u + 0*u + u + (u - 4*u + u)*(4 - 3 + 2) + 2*u - 7 + 7 + 3 + 84*u - 168*u + 78*u.\nAnswer: -9*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 215, 1, 3\/7, 119\/9 in increasing order.\nAnswer: 3\/7, 1, 119\/9, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1567391828882838.9999939 - 1567391757085837. Let n = d + -71797044. Let h = 42 + n. What is h rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 745\/596*-81*-1*16\/120.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/37, -5, 3\/37, -3694\/5?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 + r + r + 0 + 0 + 0 + 0 - r + (-2*r + 4*r - 3*r)*(-6 + 4 + 0) - 2229*r + 4897*r - 1558*r + 1 in the form v + q*r and give q.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {s: 2, f: 1, g: 1, i: 2, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -703240*n*r**3 - 179466*n*r**2 wrt r.\nAnswer: -4219440*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 972880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p + 75 + 96 = 0. What is the lowest common multiple of 14 and p?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -153, -294, -423, -534, -621, -678?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5131821379?\nAnswer: 73, 131, 536633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3203023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = f + 36. Solve 0 = 4*y - y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 44806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 2*w + 3. Let c be t(-3). Let d = 17 + c. Differentiate 11*f**4 - 13 - 10*f**4 + d*f**4 wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - (-3)\/3 - 4. Let m be (-6)\/p - (-1)\/(-5). Let y = 5 - m. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -2 + 2 - (-8 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -415*o**2 - 193*o**2 - 6*o**2 + 45*o**2.\nAnswer: -569*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/18 and 5\/(-8)*(332\/(-30) + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0013 and 21722.99?\nAnswer: 28.239887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 9*r - 2. Let b be q(8). Suppose 2*i - 20 = b. Let k = 1801 - 1697. Calculate the highest common divisor of k and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -11*g. What is the closest to g in -2\/11, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*3*((-5 + -1*sqrt(80))**2 + -4*2*sqrt(80) - (sqrt(80)*-2*4 + (sqrt(80) - -1*sqrt(80)) + 2)**2).\nAnswer: -312*sqrt(5) + 8337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from iitxxkxcixxtik?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16a7e - 54?\nAnswer: -16ad3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -330340 (base 8) to base 14.\nAnswer: -2c556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12065372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28 + 39. Let g(u) = 6*u - 26. Let z be g(c). Let l = 77 - z. What is the remainder when l is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -4*f - j + 7992, 3*j = f - 2010. Let q be (-95 - -20)*(1 - f). Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, f: 14}. What is prob of picking 2 r?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, w: 1, i: 1, n: 3, g: 2, y: 1}. Give prob of picking 1 i and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 1210?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 351 is divided by 210?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 + y**3 - y**3)*(-1 - 2*y + 1 + 2 + 12*y - 4 + 1 + (-2 + 0 + 1)*(-2*y + 4*y + 0*y) + y - 2*y - y).\nAnswer: 6*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d - -637315?\nAnswer: 637307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 74790 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1008 and ((-56)\/21*-2)\/((-8)\/(-3192))?\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l. Let y(p) = -2*p + 52218. Calculate v(y(c)).\nAnswer: -4*c + 104436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 8, -1\/11 in descending order.\nAnswer: 8, 3, -1\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -2\/7  (b) 0.5  (c) 904\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 14928 to the nearest one hundred.\nAnswer: 14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2990*o**2 + 9937 wrt o?\nAnswer: -5980*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - -1) + 3 + -7. Suppose -37 = -y*l + 47. Calculate the greatest common factor of l and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**4*v - 2*r**3*v**3 - 18*r - 798*v**3 wrt r.\nAnswer: 4*r**3*v - 6*r**2*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (6 - -45 - 25) + -19\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 56*l - 28. Let w(a) = -19*a + 9. Let y(t) = 3*s(t) + 8*w(t). Let v(u) = -u + 1. Let q(i) = 12*v(i) + y(i). Let j(k) = 2*k. Determine q(j(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 79 - 397\/5. What is the second smallest value in 0, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pnnppnnnnnnnkpnpnn. Give prob of picking 3 n and 1 k.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*y = -4*j + 126*y - 16, -8 = 2*j + 14*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 86a + 2?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-77 + 16 - 103)*(-35*q + 4*q + q) as z*q + s and give z.\nAnswer: 4920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 74\/5 of a microgram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 202928824.\nAnswer: 2, 7, 3623729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1452, -1455, -1458?\n\"Answer: -3*r - 1449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4*v + 1416, 559 = 5*m - 2*v - 1196. List the prime factors of m.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*b + 2185 = -133*b. Is -113 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12493748 a multiple of 428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(0 + 1832\/(-12)). Let h = 957 + u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 2:18 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m - 6. Suppose -u = -2*h + 9, -4*h = 2*u - 5*h + 12. Let n be b(u). Solve -n - 1 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 5*o - 9. Let j(c) = c**2 - c - 1. Let y(h) = -5*j(h) + n(h). Determine x, given that y(x) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**2. Let r(d) = 354404 - 354404 + 151*d. Calculate r(c(z)).\nAnswer: -453*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 17. Sort l, 3, 2 in decreasing order.\nAnswer: 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 2)*(-2*f + f - 2*f)*(5 - 3 - 3)*(2*f**2 - f**2 + f**2).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 739*d**2 + 22*d + 229. Is r(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1705 (base 8) in base 7?\nAnswer: 2546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77*a**4 + a**3 - 4*a**2 - 1283*a?\nAnswer: -924*a**2 + 6*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -753, -4, -74, -1, -5.\nAnswer: -753, -74, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2\/5*a**4 + 126\/5*a + 34\/5*a**3 + 0 - 162\/5*a**2 = 0.\nAnswer: -21, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f**2 - 3*f**2 + 2*f**2)*(-40 + 117 - 37 - 4*f) in the form h*f**2 + n + x*f**3 + j*f and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + -1 + -3 + (sqrt(5) + 4*(1 + sqrt(5)) - sqrt(5)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 89*b**5 - 797*b - 2 wrt b?\nAnswer: 1780*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 207428 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w. Let u(v) = 10*v + 387. What is q(u(o))?\nAnswer: 40*o + 1548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 32 - (-1)\/(-1) - 1. Suppose 0 = 2*t + 4*w - 50, -4*t - w = -b - 70. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeweeeewewe. What is prob of sequence eee?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2058212371?\nAnswer: 191, 211, 51071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3021352351 to the power of 1\/4, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 8*x. Let c(i) be the second derivative of -7*i**5\/60 + 19*i**2 - 9*i. Let y(d) be the first derivative of c(d). Calculate y(l(n)).\nAnswer: -448*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 + 7*h**2 + 5. Let u be g(-4). Which is the third biggest value?  (a) 1\/4  (b) u  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -2*w + 28, 2*a - 7*a + 38 = 4*w. Let s = a - -4. Calculate the least common multiple of s and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 573182755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99)*1*-3)\/(sqrt(9) + sqrt(225)*1 + sqrt(225) + sqrt(9)) + (5*5*sqrt(1584)*-1)**2*5.\nAnswer: -sqrt(11)\/4 + 4950000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 236455119 or 236455121?\nAnswer: 236455119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -7) + (5 - (2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 1127.603.\nAnswer: 563.8015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**2 + 1540*d + 12466. What is y(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a factor of 18592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 16*z**2 + 6*z + 6. Determine t(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2, 2*g + 12 = -0*p + 2*p. Suppose p*k = -4*l + 136, 2*k - 26 = k - 3*l. Suppose 4*q - k = -18. Solve 15 = -5*v - q*s, -s - 3*s - 15 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4176.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12\/7, 0.4, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + h = -15, 298 = -2*q - h + 288 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1243610395455039.000141 - 1243611103711498. Let j = l - -708256139. Let r = j + 320. What is r rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 18129*g - 18102*g)*(-16*g + g + 2*g).\nAnswer: -351*g**2 + 65*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 6:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 21, -1, -3, -2816, 3 in descending order.\nAnswer: 21, 3, -1, -2, -3, -2816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-2158)\/(-138112) + (-1727)\/(-64)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 852323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 12. Let f(b) = b**2 + 7*b + 6. What is f(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/4)\/(2\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 9*y = -12. Let v(w) = 30*w**3 - 5*w**2 - 3*w. Let k be v(5). Calculate the common denominator of 67\/20 and y\/6 - k\/(-420).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -1507 in ascending order.\nAnswer: -1507, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + -3 + sqrt(153))**2 + 4 + 5.\nAnswer: -36*sqrt(17) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -235 divided by -41\nAnswer: 235\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55)\/sqrt(5) + 2)**2 - (1*(-2 + sqrt(11)) + sqrt(11))) + -3 + ((sqrt(11) + (sqrt(154)\/sqrt(7))\/sqrt(2))*3)**2.\nAnswer: 2*sqrt(11) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = 4*x - 1355. Let b = x - -418. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -q + 35. Let j(f) = -656*f - 8. Let c be j(q). 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: Let w = 0 - -2. Suppose r = -w*r. Suppose a = s + 1, -2*s + 2*a + 14 = 4*a. Solve r = 8*v - s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 128 and 0.52.\nAnswer: 66.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -622 by -311.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6823942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1101100011?\nAnswer: 1101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47 + 1372496902*u**3 + 0*u + 0*u - 1372496900*u**3.\nAnswer: 2*u**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 94 + 3. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*u = 69 + 99. Solve 0 = -4*t + l - 17, l - 3 = u*t + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9417 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r = -16*r + 130. Suppose -r = v - 2*v. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6020665 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -227 - -232.14. Let l = m - 27.04. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.068555 and -0.6?\nAnswer: 4.241133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, g: 1, y: 1, d: 4, w: 1}. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -173\/7. Let h = 62.142 - 0.142. Let b = h - 61.6. What is the second biggest value in b, d, 1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71.3829 minus 3.6?\nAnswer: -74.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 2*l, 5*b - 235 = 4*l. Suppose 44 = -20*u + 284. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.38 + -0.38. Let z = 15 - n. Put 1\/8, z, -4 in increasing order.\nAnswer: -4, z, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(0 + sqrt(448)) - (1 + -3 + sqrt(448))) + -3*(-3 + sqrt(448)) + sqrt(448) + 2 + -2 + sqrt(448))**2.\nAnswer: -1232*sqrt(7) + 22073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1122002001 (base 3) in base 15?\nAnswer: -97c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 388.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -146*z**3 + 16*z**2 - 16*z. Let i(s) = -29*s**3 + 3*s**2 - 3*s. Determine -16*i(o) + 3*w(o).\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 460 and 66260470?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 438  (c) 3  (d) 0.2  (e) 3\/13  (f) -2\/3  (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1748 - 1690. Does 53 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -714, 54, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 3*x**2 - 12*x - 4. Let a be z(12). Suppose 10*w = 17*w - a. What is the greatest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 4:55 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**2 + 0*t**2 - 4*t**2 + (23*t - 17 + 17)*(-155*t - 2104 + 2104) as m*t**2 + a + q*t and give m.\nAnswer: -3566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-90)\/(-36))\/((575\/(-140))\/23)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -9*q - 65. Determine c(-20).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o + 7828 - 7839 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bgb when three letters picked without replacement from wggwwgwbggbg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/16242 and 29\/48726?\nAnswer: 48726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -146*u - 4*u**2 + 164*u + 5*u**2 in the form d + q*u + v*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-51)\/(-15) + (-4)\/10. Let a(o) = c*o + 2*o + 0*o - 3*o. Let k be (-22)\/66 - 5\/15*-7. Determine a(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 53367459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.019 and -37.\nAnswer: -36.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 39*j**2 + 108*j - 47. What is m(36)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 98 + -97. Put -3, 3, 5, p in descending order.\nAnswer: 5, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 - 3\/4*(-175)\/(-21). Which is the second smallest value?  (a) 14  (b) p  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.207 + 5.207. Let c = -4 + 3.99. Let s = c - 0.09. What is the closest to -2\/7 in s, 4, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*m**2 - 148*m + 891 wrt m?\nAnswer: -18*m - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 302071696 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -137 - -42. Let m = t - -97. Which is the third smallest value?  (a) 3\/20  (b) -2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 9:31 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -20, -49, -110, -215?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j**2 + 2*j + 1. Let d(p) = -5*p + 56. Let w be d(3). Suppose 5*h = -w - 14. Let l(s) = 14*s**2 + 6*s + 3. Determine h*u(n) + 4*l(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 8*h + 6. Let r = 8 + -2. Let p be g(r). Let w be -5*4*p\/4. Solve 5*u + 4*x - w = 0, -1 = 3*u - 4*x + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 75 - 75 - 934*q**2 + 68 - 69 in the form x + l*q + d*q**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - (1 - 9)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 10\/1019, -5 in ascending order.\nAnswer: -5, 10\/1019, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**2\/13 - 124810*u\/13 - 249612\/13 = 0. Calculate u.\nAnswer: -62403, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + g)*(473 + 245 - 323) + (-4 + 1 + 5)*(1 - 1 - 3*g).\nAnswer: 389*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*j + 0*j - j)*(169 - j - 169) + 3*j - 3*j - 2*j**2)*(64*j - 45*j + 59*j) in the form m*j**3 + p*j**2 + z + g*j and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 f, and 1 e when three letters picked without replacement from {l: 1, s: 1, e: 1, m: 4, f: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 3*m - 28 = 0, n - 5*m = -10*m + 10. Let z = 1 - 1. Suppose 0 = -g - 3*b - n, 2*g - 2*b - 14 = z. Solve 0 = x - 1 - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -114989692 take away -825?\nAnswer: -114988867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -129*d - 11. Let x(z) = z - 3. Determine -k(a) + 3*x(a).\nAnswer: 132*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/46)\/(d**(-1\/7)\/d)*d*d\/(d*d**(28\/3))*d*d\/(d**(-2\/5)*d) assuming d is positive.\nAnswer: d**(-27653\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -195, -720, -831 in ascending order.\nAnswer: -831, -720, -195, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 3:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/3 + 3*u**2\/2 - 15*u. Let p = 9 - 13. Determine w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**7*a)**(-1\/5))**(27\/4))**(1\/31))**(1\/3) assuming a is positive.\nAnswer: a**(-18\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -64, -5, -4, 28, 5, -3 in increasing order.\nAnswer: -64, -5, -4, -3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/(-6) - 3)*108. Let h = -23 - v. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -238 + 237. Let t = 123223\/75 + -1643. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -168 + 187 + -29 + (0 - 42)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-x**3 + x**3 - 4*x**3)*(-19 - 1 + 4) + (x - x + x**2)*(0*x + 2*x - 3*x) in the form n*x**2 + f*x**3 + v + h*x and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1035, 1882, 2729, 3576, 4423?\nAnswer: 5270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -268643*a**3 + 1146*a + 31 wrt a?\nAnswer: -1611858*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 + 286*l**2 - 284*l.\nAnswer: -2*l*(l - 142)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 10 * -0.09\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*k - 39 + 22 + 17.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 1 + j - 1 + 2. Let c(d) = d**2 + d + 2. Let s be c(0). What is k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f*f\/(f\/(f\/(f\/(f**(-12)\/f)))))*f)\/(f*(f*f*f**(4\/5)*f)\/f))\/(f**25*f**(4\/3)) assuming f is positive.\nAnswer: f**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4759189 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -62 - 44 - -78 - 28?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6542503?\nAnswer: 11, 594773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18113295.\nAnswer: 3, 5, 59, 97, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + b**2 - b - 6. Suppose d - 10 = 2*i, -5*d + 2*d - 15 = 3*i. Determine o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-14909)\/17)\/(3\/123*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r + 7 + 2 - 3*r + 5*r. Let f be b(-8). Do 1\/2 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*p = -10*c - 170*p + 185, -c = -3*p - 35 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - c - 3 = 0, 4*d + 3*c + 7 = 8*c. Suppose -11*v + d*v - 279 = 0. Let l = v + 42. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/3 + 1496*a + 413838.\nAnswer: -2*(a - 2493)*(a + 249)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138 + -0.6.\nAnswer: 137.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101.000199 - 101. Round l to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.068 times 5.62\nAnswer: -0.38216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.024 * 0.047.\nAnswer: -0.001128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 601 + -1011\/2. Which is smaller: 96 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/988 and -29\/16?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 9:55 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285749?\nAnswer: 285749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59.5 + 59. Suppose -6 = -2*u - 0. Let k be (3 - 1)\/(33\/u). What is the nearest to -2 in k, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, a: 2, g: 4, h: 2, t: 3}. Give prob of picking 1 h and 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(28)\/(sqrt(12)\/sqrt(3)) - (sqrt(2800) - (sqrt(2800) + 2*sqrt(2800) + sqrt(2800) + sqrt(2800) - sqrt(2800)))\/sqrt(4).\nAnswer: -4 + 31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.12 + -0.22. Sort 0.4, a, 2\/13, 0.5 in decreasing order.\nAnswer: 0.5, 0.4, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eue when three letters picked without replacement from {f: 2, s: 1, e: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 7*n**2 + 3*n - 3. Let g(h) = 672 - 652 - 21*h - 4*h - 48*h**2 + 5*h. Let w(b) = -3*g(b) - 20*u(b). Let q(l) = 13*l. Determine q(w(o)).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 4*j**2 + 38*j - 14. Suppose -4*p - 20 = -0*p + 4*c, -5*p = -4*c + 70. Let f be r(p). Solve 0 = -10*a + f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.004 - 2.1. Let r = a + -0.664. Let c = 2.76 + r. Is c less than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -f**5\/30 + f**2. Let z(s) = -11989*s + 11989*s + 16*s**2. Calculate n(z(a)).\nAnswer: -512*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -b**2\/6 - 53411*b - 8558204763\/2 = 0.\nAnswer: -160233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-108)\/162 + 28\/6 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - i - 4. Let g(q) = q + 3. Suppose -4*b = -8*b + 8. Calculate b*c(w) + 3*g(w).\nAnswer: -2*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2 - 245404*x.\nAnswer: -2*x*(x + 122702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 + 10*c**2 - 15*c - 6. What are the prime factors of t(-11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - -2. Suppose -n = -2*w - 0. Sort 1, w, -5 in decreasing order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 1 + 0)*(-4 + 4 - 1) + 1 + 1 + 0)*(-3*l + 9*l - l).\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -5. Suppose -3*c + p = 2*p - 86, 0 = -u*c + p + 130. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (60 - 42 - 40)*(35 - i**4 - 10 - 23 + (0*i**3 + i**3 + i**3)*(2*i - 3*i - i)).\nAnswer: 110*i**4 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**11*c\/(c\/(c\/((c*c\/(c*c**(-2\/9)))\/c)))*(c\/(c**(-2\/3)*c))**(12\/5) assuming c is positive.\nAnswer: c**(602\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/1592 in -4, 5, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 - 38 = -7*q + 5*q - 7*c, 4*c - 28 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -296 divided by 8143\nAnswer: -296\/8143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.420750727 from -38.\nAnswer: -37.579249273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 618262 - 1854787 + b + 618265 + 618260.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -303.799997022 - -303.8. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 13. Let n = -12 + s. Let o = 8 - n. What is the third smallest value in 0.4, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/967?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 312787 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g**3 - g. Let y(w) = w - 4*w**3 + 3*w**3 + 0*w. Let a(c) = x(c) - 4*y(c). Find the second derivative of a(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + -5 + 2058\/558 and -49\/51.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + x**2 - 3*x**2)*(-4*x + 0*x + 6*x) + 106*x**3 - 200*x**3 - 197*x**3.\nAnswer: -299*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0.3, -81\/2387?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 254375 divided by -4625?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2 - f + 3 - 2. Suppose 6 = 3*k + w, 5*w + 16 = 1. Calculate y(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -64 + 107. Let o = 1226 - 23324\/19. What is the common denominator of o and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/7))**(-37)*((z\/(z*z**(2\/5)\/z*z))\/z)**(-2\/23) assuming z is positive.\nAnswer: z**(-8412\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12220\/390*1152\/1504\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 692961.527 + -692201. Let q = -761 + r. What is q rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01993496 to five dps.\nAnswer: -0.01993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-2)\/(-2)*155. Let t = o + -67. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*o = -114*o + 5*z + 765, 6*o - 4*o - 5*z = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 5*m**2 - 4*m - 7. Let f be z(6). Suppose -26 = -q - f*g, -16 = -4*q + 2*q - g. Solve -2*d = -2*y + q*y - 10, 4 = y - d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*5*-5*(sqrt(15) - (sqrt(45)\/sqrt(3) - sqrt(15))))\/((-1*sqrt(6)*-5 + sqrt(6) + sqrt(6))\/(sqrt(2) + (sqrt(98) - -2*sqrt(98)) - sqrt(2))).\nAnswer: 450*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/9 - (-77)\/(-21). Let i = -0.8 - -0.6. What is the nearest to -2 in -3, i, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + b)*(-b**2 + 7*b**2 + 2*b**2) - b**3 + 4*b**2 - 4*b**2 + (-4*b + 4*b + 2*b)*(4*b**2 - 4*b**2 - b**2).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 3*o - 1. Let k be f(4). Let n(t) be the first derivative of 0*t**2 + 0*t**4 + 8\/5*t**5 - 7*t - 8 + 0*t**k. Differentiate n(x) wrt x.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2149*f = -2151*f + 5*c + 12, 25 = 3*f - 4*c. Solve 2*w = 2*b + 8, 233*w - f = 231*w + 5*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.065  (b) 4\/5  (c) 4  (d) -0.273  (e) -3.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + -1. Suppose -2 = -5*o + m. Suppose -u - u = -6. Solve 11 + 16 = -u*k - 4*h, 3*h = k - o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24774913 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: 0.1 times 0.061\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -10*q - 10. Let t = 4 - -15. Let j = -26 + t. Is 12 a factor of y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30503*u**2 - 39160*u wrt u.\nAnswer: -61006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 4:58 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 217 - 154. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13437, 44778, 97005, 170112, 264093, 378942, 514653, 671220?\nAnswer: 848637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 6*t + 5. Let v be n(-3). Which is the nearest to -0.2?  (a) 2  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -4. Let m(z) be the first derivative of 3*z**4\/4 - 2*z**3\/3 - 3*z**2\/2 + 3*z - 1. Is m(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 + 7 + -11 - -8 - ((4 - 5) + 8)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-240840)\/(-70245)*-7*3.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of c**5\/20 + 2*c**4\/3 + 7*c**3\/6 + 5*c**2\/2 - 2*c. Let l(g) = -6*g**2 - 63*g + 26. Let f be l(-11). Give m(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 52\/168 - (-2)\/(-14))\/(10\/15)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.5 in 3\/5, -0.25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 2*d - 17, 24*d - 20*d - 15 = g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -149004 * -0.1.\nAnswer: 14900.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(260) + 2*(sqrt(260) + (sqrt(260)*-1 - sqrt(260)) - sqrt(260)))\/(1*(sqrt(10) + sqrt(90)) - sqrt(10)))\/(2*sqrt(72)*-5*3).\nAnswer: sqrt(13)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7113830 - 37?\nAnswer: -7113867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13.6 + -13.3. Which is the second smallest value?  (a) 2  (b) t  (c) 5  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1) + -47 + (72 - 38).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68\/3 + -23. Suppose -10 = -3*d - 4*m, -3*d + 2*m + 2*m + 26 = 0. Let i be (-5)\/105*d*-1. Which is the nearest to 0.1?  (a) i  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-36)\/(-17) + 2\/68*-4. Let n(c) = 4*c - c + 1 + 1. Determine n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 0*o**2 - 3*o + 0 + 1\/6*o**4 + 0*o**3. Let h(s) be the first derivative of 2*s**3 - 69. Give h(y(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/3204 and 95\/22428.\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 65, 93, 121, 149?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8290776 by -690898.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 12:18 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.935 - 9.035. Let g(b) = b**3 + 11*b**2 - 12*b - 18. Let f be g(-12). Let y be 6\/f - 1\/(-21). What is the closest to y in l, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 10*g**2 + 7. Let k(p) = 2*p**2 - 5*p - 4. Calculate the lowest common multiple of w(10) and k(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55 - 15. Suppose -b - 4*j = -20, -2*b + 2*j = 7*j - p. Let o = 12 + -2. What is the highest common divisor of o and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 1. Let t(g) = 12*g**2 - g - 58. Let h be -5*(-4)\/30 - 10\/(-3). Let y(b) = h*d(b) + t(b). What is the second derivative of y(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*u**2 + 8142 + 69*u**2 - 4103 - 4039.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -148?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4543608 divided by 62\nAnswer: 73284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396)*2 - sqrt(275)*-1)*1)**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 0*o = -17. Let r(z) = z**3 + z**2 + z + 2. Let x be 1\/1 - 2 - -1. Let q be r(x). Solve q*b = 5*m + o, -4*m + 2 = 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 13) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 411470763?\nAnswer: 3, 11, 29, 89, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 1 + 128 + -128?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 18 * -5\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 189 - 405 + 381*d**2 - 46*d - 379*d**2 = 0.\nAnswer: -4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 + 1 + 12*b**2 - 105*b**2 + 63*b - 7*b + 1.\nAnswer: -92*b**2 + 56*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-56)*-12)\/((-18)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - 12. Let d = n + 16. Let h(z) = z**2 + 13*z + 2. Let r be h(d). Calculate the highest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 525*c**3*w*y**3 + 32*c**3 + 4*c**2*y**3 - 23*w*y**3 + 92*y wrt w.\nAnswer: 525*c**3*y**3 - 23*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(162) - (2 + sqrt(162))*2) + sqrt(162) - (-4 + -2*sqrt(162) + sqrt(162))**2)*2.\nAnswer: -2184 - 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -70 + 64. Let d(c) = -7*c**3 + 5*c + 6. Let a(w) = 8*w**3 - 6*w - 7. Calculate x*a(y) - 7*d(y).\nAnswer: y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 16, 0, -5, 9, -19?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(539)*1 + sqrt(539) + sqrt(539))**2 + -3 - (sqrt(704)*2 + sqrt(44))\/sqrt(4)).\nAnswer: -24240 + 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2413200414 + 10?\nAnswer: -2413200404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 21696 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/16107303?\nAnswer: -2\/16107303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 + 4\/(-3) + 3. Let m = -58 - -80. Let d = -27 + m. Put n, -4, d in descending order.\nAnswer: n, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ei when two letters picked without replacement from {i: 2, p: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 + 7*f - 6. Calculate t(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f - 11. Let r be i(8). Suppose -r*c + 63 = -2*c. Suppose c = 3*j - 12. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -143  (c) -27691  (d) 1  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36 - 4018\/123)*(-48)\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6b (base 12) in base 16?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/16))**(-41)\/(f**(28\/9)*f**(3\/10)) assuming f is positive.\nAnswer: f**(-30131\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from amooooama?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18856 or 18316?\nAnswer: 18856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 97543 and -41.76.\nAnswer: 97501.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3160111 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-23)\/(-7) + 12\/(-42). Let x be (2\/3)\/((-2)\/(-18)). Let a = r + x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 8*v**2 + 6*v + 9. Let k be x(7). Solve -5*o = -k*o + 2*d - 6, o + d = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-57)\/(-18) + 4*(-1)\/24. What is the third derivative of 169*q**b + 0*q**3 + 107*q**2 + 38*q**2 + 39*q**3 wrt q?\nAnswer: 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7 and 3201.\nAnswer: -22407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 248846 and 1326.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -60*o - 1. Determine z(-1).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1  (b) 0.8  (c) -11  (d) -0.47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8750cb (base 14) to base 4.\nAnswer: 101133132323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5883.251l in millilitres?\nAnswer: 5883251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 20, 39, 68?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 11*s - 17. Let k be r(-13). Let b = 12 - k. Differentiate -7*p**2 + b*p**2 + 8 + 0*p**2 wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 244142552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53e1 (base 16) to base 15.\nAnswer: 6568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q. Suppose -3*h + 465 = 3*f, 4*h + 70 + 374 = 3*f. Let u(i) = -152 + f - 5*i. What is u(p(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3930297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 8*q**2 - 11*q + 13. Let r(l) = -l - 11. Let p be r(-8). Let b = p - -14. What is the remainder when x(-9) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 63\/15 - 1\/5. Let b(k) be the third derivative of 2*k**2 + 1\/4*k**f + 0*k + 0 - k**3. Let z(s) = 11*s - 11. What is 7*b(j) - 4*z(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqhhhhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*a = 46*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, -4, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 199458291 and 199458290 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*d - 2*d + 3*d + 3*d + d - 2*d + (-3 + 3 - 2*d)*(1 + 1 + 0).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 205798*h**5 + 3*h**4 + h**2 + 3616525*h wrt h?\nAnswer: 4115960*h**3 + 36*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 + (-76 - -21 - -51)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 4*y + 6, l = -4*y - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 11544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 10*q + 4. Let p be c(10). Suppose -s = -p*s. Suppose 20 = 2*l - 5*f, -6*l = -2*l - 2*f - 24. Put l, s, 1 in descending order.\nAnswer: l, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*q + q + q + (-3*q + 2*q - q)*(-3 - 1 + 5) + 4 + 19 - 2*q - 16 to the form i*q + f and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -58*d + 293. Let g be u(5). Is 41.2 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(102) - (sqrt(102) + -1*sqrt(102)*2 + sqrt(102)) - (sqrt(102) + sqrt(102)*2 + sqrt(102) + sqrt(102))*2))\/((-2*sqrt(6)*-6 + sqrt(6))*6*-4))**2.\nAnswer: 153\/10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 287*f**4 - 6*f**3 - f**2 - 4*f - 149525?\nAnswer: 1148*f**3 - 18*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**3\/5 + 170*v**2 + 15948*v\/5 = 0. Calculate v.\nAnswer: -18, 0, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -822*k**2 + 364 - 364 + 529*k**2.\nAnswer: -293*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -935 + 937. Solve -6*k = 22 + b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5595000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q + 4*q - 2*q. Let l(i) = 213 + 216 - 429 - 4*i. What is l(x(w))?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(45) - sqrt(5)) + -5 + 2 + (sqrt(20)\/(sqrt(64) + sqrt(4)) - (sqrt(25)\/sqrt(5) + 4))**2.\nAnswer: 42*sqrt(5)\/5 + 96\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -10*z**3 - 2*z**2 + 8*z + 14. Let k be h(-2). Suppose k*c - 24 = 66*c. Let q = -5 + 8. Calculate the highest common divisor of q and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-2)\/3*(-12)\/(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3 + 0. Let j = 5.2 - 5. Which is the nearest to j?  (a) -4  (b) -1\/5  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1531 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3752, -13934, -30912, -54692, -85280, -122682, -166904, -217952?\nAnswer: -275832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/12)\/(18689\/20388).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 5345*z**2 - 14285*z + 7. Let y(k) = 1780*k**2 - 4761*k + 2. Let n(s) = 2*r(s) - 7*y(s). Find the second derivative of n(u) wrt u.\nAnswer: -3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0768902484 rounded to 5 decimal places?\nAnswer: 0.07689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 10*y**3 - 3*y**2 - 3*y + 5. Let t(n) = 19*n**3 - 5*n**2 - 5*n + 9. Let l(b) = -10*q(b) + 6*t(b). Find the first derivative of l(k) wrt k.\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 0*c**2 + 2\/15*c**3 + 1 + 2\/25*c**5 + 0*c + 1\/5*c**4. Factor l(q).\nAnswer: 2*q**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 2*u**2\/7 - 793978*u\/7 + 19848200\/7 = 0.\nAnswer: 25, 396964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 360366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xbbu when four letters picked without replacement from blbxbbbuxblul?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63994739597 - 183.\nAnswer: -63994739780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/10 - (-124)\/(-310). Let m(n) = 64 + 0*n**2 + 0*n - 2*n + n**3 - n**2. What is the tens digit of m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -3\/86  (c) -1\/2  (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(8))*-3)**2 - (sqrt(242) - sqrt(242)*-3)*6.\nAnswer: -192*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*d**2*n**3 - 8*d**2*n*w**2 - d**2*n - 2*d*n**3*w**2 + 6*d*n**2*w**2 + n**3*w**2 wrt n?\nAnswer: 18*d**2 - 12*d*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/220 and 41\/198.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 4*w + 11, 2*w = 3*w - 3*j - 4. Let h = w + 8. Solve -h*g + 8 = -5*t, g + 24 = -2*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15 + 1 + -10 - (-7)\/(-1). Is o at least as big as 2\/23537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 0 in decreasing order.\nAnswer: 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -871180 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 12:01 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 5 - (0 - (7 + -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + -188125?\nAnswer: -188128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/m**(2\/7)*m*m**2\/m*m\/(m\/(m**5\/m))*m**6 assuming m is positive.\nAnswer: m**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47840, 46726, 45612, 44498?\nAnswer: 43384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2044 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 1. Let z = 6 + -4. Let i be 20\/6 - z\/(-3). Suppose -i*l = -5*l + 2. Let n(m) = -2*m - 1. Calculate l*n(o) - 3*y(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t - 9. Let c be z(-11). Suppose -5*f = 4*j - c*f - 24, 3*j - 25 = -4*f. Suppose 4*x - 2 = j*x. Sort -3, x, 3 in ascending order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1360)\/12*-3*((-9191)\/52)\/(-7) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3\/403, 2\/11, 2\/15, 2?\nAnswer: 3\/403","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 6 = -3. Let q be (33\/42 + -1)*((-286)\/(-39) + -6). Let l = -3 + 5. What is the smallest value in q, l, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 44 - 1 = -3*v - 12*f, 5*f = 3*v - 0*f - 94 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 0*r**6 - 3*r + 0*r**3 + 0*r**5 + 0*r**2 - 1\/12*r**4 + 0 - 1\/21*r**7. Find the third derivative of a(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 34 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 10*d + 14. Let q be b(-11). Solve -w = -q*g + 4*w + 11, -w + 2 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140364 is divided by 2420.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/662879 and -12\/3314395?\nAnswer: 3314395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 37 = 47 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.51, -0.1, 0.112, -14\/17?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d + 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/9 + 10420*l**2\/9 - 20849*l\/3 + 10426.\nAnswer: (l - 3)**2*(l + 10426)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -14.19. Let v = -0.09 + x. Put v, -4, -2\/5 in ascending order.\nAnswer: -4, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let y be ((-24)\/(-16))\/(1\/(-2)). Let h be (0 - -2) + y + 6. Let p(v) = v**2 - h*v**2 + 2*v**2 + v**2. Give f(p(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98800 = 144343*f - 145293*f for f.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-75)\/(-4950))\/((-5)\/(55\/(-2)))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1136*v = -117*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -12985, -11727, -10469, -9211, -7953?\n\"Answer: 1258*u - 14243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1312 (base 6) in base 12?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + -1 + sqrt(300) + 0)**2 - (4 + (2*sqrt(300))**2 + sqrt(300))) + -4.\nAnswer: -50*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/705465 and -13\/122427.\nAnswer: 157318695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 4:24 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, -50, -0.2, 27, 1\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 8, 10 = b - 5*v - 5. Calculate the remainder when 74 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 756 is divided by 248.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-five eighths of a meter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -735, -2299, -4871, -8445, -13015, -18575?\n\"Answer: o**3 - 510*o**2 - 41*o - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 796209191 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.24 - 0.3. Let c = i + 0.06. Let h be (-172)\/120 + (-12)\/(-20). What is the closest to c in -3, 2\/3, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -203 + 203. Let c(b) = -8*b + 80. What is the smallest common multiple of 45 and c(m)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-216)\/1944 + (-1 - (-4)\/3). Suppose -3*r + 8 = -2*v + r, 4*r = v + 6. Let f = 2.8 - 0.8. What is the nearest to v in -4, f, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35656*2.3\nAnswer: -82008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2532683*c**3 - 3414753 wrt c?\nAnswer: -7598049*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1473786 and 738.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1795342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 3*a - 3*a)*(1 + a**3 - 1) - 4*a**4 + 3 - 3 + (-2*a**3 + 3*a**3 + 0*a**3)*(-a - 2*a + 4*a) - 2*a**2 + a**4 + 2*a**2.\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 19d735 (base 14) in base 16?\nAnswer: e0c53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 13572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 3:31 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1295 + 1294. Let f(y) = -y**2. Let u(i) = 18*i**2 - 8*i - 3. Let b(w) = -12*w**2 + 5*w + 2. Let j(c) = -8*b(c) - 5*u(c). Calculate d*j(t) - 4*f(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((11 - (22 - (-14 - -27))) + 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22787 = -831*r + 7960 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1118\/1805 or 0?\nAnswer: 1118\/1805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 17 = 2*v, -4*m = 2*v - 25 + 7. Let b be (-2)\/v + -2 + 2. Solve 2*i = 3*f - 23, 2*i + 5*f = b*f + 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 4:35 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31721?\nAnswer: 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {a: 1, m: 1, u: 2, d: 2, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (40 - 6 - 14) + 46?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.59981 millennia in centuries?\nAnswer: 905.9981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 200 - 196. Solve t + 9 - 20 = 4*x, -l*t + 3*x + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 2*s - 53 = -a, 2*a - 100 = -2*s. Calculate the remainder when a is divided by 81\/3 + (-2)\/2.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4290 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q - 1. Let h = 2 + -5. Let r be z(h). Suppose y = -y + g, y + r = g. Put y, 1, 3 in descending order.\nAnswer: 3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 + 5*v**2 - 7*v + 2. Let p = 1302442259273\/1836 - 709391233. Let j = -2\/459 + p. What is the common denominator of z(-5) and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*((-8)\/6 - 0). Suppose -m + x*j = -11, 3*j + 18 = m + 3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50295567*a**2 + 53190176*a wrt a?\nAnswer: -100591134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 925*l**2\/2 - 3*l + 20. Suppose -8 = -2*g - 4*o, -2*g - 3*o = 3*g - 13. Is w(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -310, -629, -948, -1267, -1586?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1553*v - 6359 + 4765 + 12918*v - 6779 wrt v.\nAnswer: 11365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 29 = 4. Suppose 0*v - w*v + 34 = -4*a, -2*v = 4. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)*-6*-6)\/(sqrt(4) - sqrt(32)\/(sqrt(8)*5)).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*1\/5*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 4*d - 2. Let g = -1 + 3. Let o be n(g). Let i(p) = 6*p**2 + p + 1. Let b be i(-1). Solve 4*s = o*s - b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*i**3 - 33*i**3 - 1 + 1.\nAnswer: -114*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 48 in -0.5, 54, 0, 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 88 and 55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkvvvkvkv. Give prob of sequence vv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15960485.\nAnswer: 5, 83, 38459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -10687\/13966?\nAnswer: -10687\/13966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 64 - -104. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (810\/(-729))\/((-2)\/(-6)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*n + 13 = 0, q + 5*n - 2 = -25. Let i(x) = -4 + q*x - 4*x + 4. Let m(f) = 2*f**2. Give m(i(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 1096 + 1631 = 0. Is (d\/(-3))\/(((-18)\/4)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of 601*d**5\/60 + 329*d**3\/6 - 1992*d**2. What is the first derivative of k(t) wrt t?\nAnswer: 1202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13163925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38 - -12 - -6) + 7 - (-4 - (0 + 2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 24 = 4*t, -r - 3*t - t = -9. Let g(b) = -5245*b**3 + 4*b + 1. Let q be g(r). Let a be q\/12 - (-1)\/(-3). What is a rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 675, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**3 + 6*k**2 + 3*k + 1. Let l(a) = -270*a - 543. Let v be l(-2). Let q(b) = b**3 + 5*b**2 + 2*b. Give v*d(x) + 4*q(x).\nAnswer: -2*x**3 + 2*x**2 - x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.354 + 4.328. Round i to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0917711549 from -0.1207.\nAnswer: -0.0289288451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.111 greater than 83\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: What is ((-11)\/(495\/(-36)))\/(4\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1682*r**6 + 2821*r**2?\nAnswer: -201840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*(((h\/(h\/(h*h**18\/h*h)))\/h)\/h)\/h)*h**(-4\/3)\/h)**(2\/35) assuming h is positive.\nAnswer: h**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(252)\/((sqrt(32)\/sqrt(8) + sqrt(4) - sqrt(4)) + sqrt(4)))\/sqrt(9).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -6*p + 5. Let v(z) = -z - 1. Calculate m(g) - 3*v(g).\nAnswer: -3*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (390\/(-42))\/(((-4218)\/(-259))\/114).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r + 0*r + 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 57, 239, 543, 969, 1517?\n\"Answer: 61*o**2 - o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 570 divide 43844845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 0*r - 1 + 2*r - 3*r**2 + r**3 - 3. Let w be (9 - 3)\/(2 - 0). List the prime factors of y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/5 + 13824\/(-2520)*7\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*r**2 + 5*r**2 + 2*r**2 + 6*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*k + 1 - 2*k**2 - k + 1 + 0*k**2 + 3*k**4 in the form d*k**4 + j*k**2 + s + n*k**3 + i*k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000697807 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {o: 1, l: 2, y: 1, u: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 195*g**2 + 205*g - 2140. Determine c(194).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - q - 3 = 0, -146 = q - 153. Let p(n) = 2*n**3 + 5*n**2 + 3. Let z(g) = 3*g**3 + 5*g**2 + g + 4. Let d(h) = 4*p(h) - 3*z(h). Determine d(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -16*q**3 - q**2 + 3*q - 2. Let u be g(2). Let f = -21 - u. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 - 2*y - 2. Suppose 0 = -2*w - 8, 3*w + 7 + 9 = -4*m. Let z be a(m). What is the nearest to z in 0.1, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 65.04 + 2.26. Let m = -12.3 + k. Let x = 54.999969 - m. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h. Let o(i) = 19*i**2 - 7. Let m(l) = -1 + 9*l**2 + 10*l**2 - 1 - 4. Let s(w) = 7*m(w) - 6*o(w). Determine s(k(a)).\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/255 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1*-32)\/(1\/(-2)). Suppose -h = -5*f - 8, 3*h + 4*f - y = -f. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1211195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9836 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -10*q**3 - 5. Let c(u) = -9*u**3 - 4. Let r be (-1 - (-30)\/34) + 8712\/(-2244). Determine r*p(m) + 5*c(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 325515512 (base 6) to base 3.\nAnswer: 102001101211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/6)\/(71\/(1065\/90)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 2006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 5:06 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -639 + 681 = 7*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**2 - 736*d - 732.\nAnswer: -4*(d + 1)*(d + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -7561.0075 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(-3))\/1 + 7. Suppose -3*g + 5*g - s = 0. Let v = 1 - -1. Solve -2*o - g = -v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2353, 4589, 6825, 9061?\nAnswer: 11297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (0 + (-77)\/(-49)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47 - 0) + (-27 + (15 - -2) - -1) - -3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1423 + 2876. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 1*sqrt(68)*3 + sqrt(68))\/(2*sqrt(16)).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 101356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.033014209 rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4184.519 rounded to the nearest 10?\nAnswer: -4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 5*y + 116 = -t, -4*t = 5*y - 163. Let o(p) = -8*p**2 - 4*p - 5. Let w be o(-2). Let n = t + w. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74 and 592.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2417, 3, 6 in descending order.\nAnswer: 2417, 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 - p**2. Let n(u) = 3*u**3 + 7*u**2 + 3. Let t(y) = 4*a(y) + n(y). Let b be t(3). Solve b*q = -0*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 55 = -89. Suppose 0 = -z*s + 29*s - 38500. Round s to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - -239\nAnswer: 239.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.2792 rounded to the nearest integer?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1719271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4030423*b**2*w**2 - b**2*w + 191*b*w + b - 888*w - 2 wrt w.\nAnswer: 8060846*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*w + 111 = 12*w. Suppose w*g + 5 = 5*l, 7*g - 3*g - 3*l = -3. Let r(m) = m**3 - m**2 + m + 1. Determine r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, i: 14}. Give prob of sequence ei.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 2*g + 8. Let q = g - -14. Let m be (10\/4)\/(3\/q). Which is smaller: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/((-36)\/(-5)))\/((-8)\/(224\/70))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1017266 times -12\nAnswer: -12207192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.705 and -0.3.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2174417 is divided by 460.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2481207*c - 9*c**2 - 2481207*c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -44*y**3 + 9*y**2 - 9*y - 9. Let c(a) = -a**3 + a**2 - a - 1. Give -18*c(i) + 2*k(i).\nAnswer: -70*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/7, 4, 13\/4, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = 2*o - 4*v - 400, 3*v = 0. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m\/m**9))*m*m**(4\/9))**(7\/5)*(m\/m**(-2\/5))**(-17)*(m**(2\/7)*m*m*m*m)\/((m\/(m\/(m**(6\/7)*m)))\/m*m) assuming m is positive.\nAnswer: m**(-9182\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 137684235 to the nearest integer?\nAnswer: 11734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 - (-55 - (-66 - 74))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**3 - 2*u**2 + 1. Let t be o(-1). Suppose -2*m + m = -16. Solve -t*f = 2*f - m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7, -15505227.\nAnswer: -15505227, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 402 + -4?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - j - 401 = 0, j = -0*u - 4*u + 523. Suppose -136*o = -u*o. Solve -2*m + o + 2 = -2*z, -2*m = 5*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d - 2*c = 40*d - 20686, -3*d - 3*c = -15510. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 5*k - r - 6, 0 = 4*k - 3*r - 5. Suppose -515 = -u - 4*l, 0 = 3*u + k*l - 259 - 1336. Is 41 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(2 + -5 + 4). Let a(n) = -n**3 - n. Let z be a(m). Suppose -2*t = -10, -z*g - 6 = -2*t - 18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 52*u**2 - 102*u - 107. What is x(-50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/sqrt(324).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 - 12339475319?\nAnswer: -12339475319.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -9*g**2 - 31*g - 15. Let y(h) = 4*h**2 + 16*h + 8. Let d(z) = 2*o(z) + 5*y(z). Let q be d(-9). Solve 2*t = -3*t - q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 7*d**2)*(16 - 16 + 5*d).\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 201305 and 2133833.\nAnswer: 10669165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*y - 5, -5*y + 78 = 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f**4 - 4*f**3 + 148*f**2 + 2*f + 3657.\nAnswer: -24*f**2 - 24*f + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -z**8\/8400 - z**7\/1400 - z**6\/600 - z**5\/600 - 5*z**3\/3 - 1. Let c(h) be the third derivative of i(h). Solve c(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 67*t**2 + 427*t - 1112. Give z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2446, 9471, 21092, 37309?\nAnswer: 58122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 divided by 1456?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1b6aa56 (base 12) to base 9\nAnswer: 12031083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(513)\/sqrt(3)*-2.\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.1, 32\/3, 4, 5, 1.12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19336 and 720.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5568 divided by -125?\nAnswer: -5568\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/2452389 and -85\/17166723?\nAnswer: 17166723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 9*g - 7. Let c be (-3)\/9*9\/(-6)*6. Let z(h) = 5*h - 4. Determine c*n(o) - 5*z(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/330460 and 55\/735072.\nAnswer: 150689760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 2\/5, 18, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-7 + 2)\/(-1 - 0). Suppose z + 2*z + 4*m = 70, 2*z = -j*m + 56. Let f = 73 - 21. Calculate the remainder when f is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4098 - -12329\/3. Which is smaller: y or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-972)\/(-20) + (-6)\/10. Let h = -45 + u. Let b(x) = 6*x**2 + 11*x**2 - 3*x - 16*x**2 - 3*x + h. Determine b(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1432368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t + 1. Let c(s) = -2 + 3 - 2. Let m(l) = 26*l. Let p = -1513 - -1517. Let f(j) = p*c(j) + m(j). Calculate 3*f(h) + 16*v(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68593?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.8 minus -22.85729439591?\nAnswer: 40.65729439591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 18237675.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 4, -1, -1007 in ascending order.\nAnswer: -1007, -5, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 202 divided by 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (70\/21)\/(1\/3). Let g be -2*5\/o - -4. Suppose 7*c - g*c = 136. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - 0.3. Let u = 3 - 3.02. Let t = 13.08 - 8.08. Which is the nearest to -1?  (a) u  (b) y  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24, -15, -14, -33, -84?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1725 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(65\/(-24)) - (-9 + -10 + 15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 11*h**2 - 19*h + 62. Let d be a(5). Let w = 245 - d. Solve -c + 4*v = -v + 7, 3 = w*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13 - -4 - (-16 + 13)) + 36\/7)*-21.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3164c6 (base 13) to base 10\nAnswer: 1156460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-3) + (-22)\/(-33). Let k(t) = -3*t - 6. Let c be k(n). Suppose c = 3*p - 4*v + 77980, -p + 4*v = -3*p - 52020. Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -27 + 1697*k + 14 + 8 + 1379*k. Is g(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 354 divided by 486\nAnswer: 59\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 5:48 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1843909 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 1\/2*j**5 - 392*j - 789\/4*j**3 + 0 - 1567\/4*j**4 + 1961\/2*j**2 = 0.\nAnswer: -2, 0, 1\/2, 1, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*j**4 - 6026*j**2 + 6026*j**2 - 2*j**4 + 2*j**4 + j**4 + (0*j + 5*j - 3*j)*(2*j**3 - 2*j**3 + 2*j**3) + 228*j + 8*j**4 - 228*j.\nAnswer: 31*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f. Suppose 0 = 3*j - 7 - 8. Let i(n) = -n - j*n + n - n. What is i(l(b))?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 510.969 and 1.1?\nAnswer: 562.0659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3174 - -3887. What is the remainder when w is divided by 140?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 1:16 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m - 3. Let f be y(-5). Suppose -6 - 2 = -4*d. Differentiate 2*l - 1 - d*l - 3*l**f wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/1 - (1 + -4). Let v = u - 1. Solve 4*i = -9 - v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 + 2 + 13)*6\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 42.10714 decades?\nAnswer: 0.4210714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 246 = 85*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 8*b - 26. Is k(6) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k. Let y(t) = -2*t**3 + 5*t + 3. Let f be y(-2). Let n(b) = -12 - b + f + 3. Calculate h(n(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in one sixteenth of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/7 - 2265*t\/7 - 2264\/7.\nAnswer: -(t + 1)*(t + 2264)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k**3 - 158 + 78 - 500 to q*k**2 + p + o*k**3 + x*k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -7342*h**4 + 2*h**3 - 13212*h**2 + 4*h. Let k(q) = q**4 - q. Let g(u) = -d(u) - 4*k(u). Find the third derivative of g(n) wrt n.\nAnswer: 176112*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 0*y + 12*y)*(-196*y + 11*y + 6*y - 137*y - 31*y).\nAnswer: -5205*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 480572 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.4 in 0.2, 4, 6, -2203?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 2. Suppose 10783 = 12*p + 10759. Solve b = -6*o + p*o - 2*i + 28, 5*o = 2*i + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -48229\/9 + 5352. Calculate the common denominator of (-390)\/(-48)*3\/5 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 11*i - 14. Let w be o(9). Suppose s + 1 - w = 0. Suppose 3*p = 3 - 0. What is the least common multiple of s and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 8. Suppose c = -4*n + 1. Let s(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/6 - h**3\/2 + 12*h**2. Give s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -7 - 4*s**2 - 5*s**2 - 23*s + s**2. Let t(h) = -4163*h**2 - h + 12*h + 2 + 4166*h**2 - 3*h. Let y(q) = -2*l(q) - 7*t(q). Factor y(u).\nAnswer: -5*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*2)\/sqrt(7) + (-4 + sqrt(1331))**2.\nAnswer: -86*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12*(-203)\/58 - -17\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -31  (b) 19  (c) -5  (d) 0.077  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -17334 (base 8) to base 5\nAnswer: -223100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 29*k + 4. Let a(f) = -30*f - 4. Let m(y) = 6*a(y) + 7*v(y). What is the derivative of m(g) wrt g?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1907 + 1910. Let f = 9 - 3. What is the derivative of f*i**y + i**3 + 9 + 5*i**3 - i**3 wrt i?\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*s + 3)*(0*s - s**2 + 0*s) - s**2 + 2*s**3 + s**2 + 4*s - 4*s + 2*s**3 - 42*s**3 + 18*s**2 + 529*s - 526*s + 10 + 47*s**3.\nAnswer: 11*s**3 + 18*s**2 + 3*s + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38939 - 14835776\/381. Let w = v + 9136\/2667. What is the common denominator of -137\/24 and w?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 24 = -5*t + 3*t, -2*l = -t - 10. What is the common denominator of 43\/11 and 2 + 130*t\/(-16)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*f - 4*f - 37*f as u*f + q and give u.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 4)*(0*b**2 + 0*b**2 + b**2) + 3*b - 172932*b**2 - 4*b + 2 + 172931*b**2.\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 40398*r - 4579380.\nAnswer: -2*(r - 20085)*(r - 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-6) + (-18)\/(-4). Let l(i) = i**2 + 2*i - 6. Calculate the remainder when 34 is divided by l(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**18*y*y*y)**(2\/115)*y**(-3\/25)*y*y**13 assuming y is positive.\nAnswer: y**(8191\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 4*n - 14, -12*q + 3*n = -10*q - 8. What is the third biggest value in -1, 26, q, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 18*i**2 - 3*i + 20. Let z be a(-18). Suppose z = 4*n - 62. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0018 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8\/7)*t**(-1)*t*t*t\/(t**(1\/5)\/t))\/(t**(1\/9)*(t**0\/t)\/t*t**(2\/3)) assuming t is positive.\nAnswer: t**(907\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/7252146 and -103\/54.\nAnswer: 7252146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12495141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 7272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-6)\/225*8*(-95)\/(-133)*-7.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222293.\nAnswer: 222293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 281*v**4 + 7*v + 5876?\nAnswer: 1124*v**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2192216671 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -54, 14 in descending order.\nAnswer: 14, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 10*s + 9. Let t(y) = -5*y - 5. Let v(p) = -4*k(p) - 7*t(p). What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84224676 is divided by 1928?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**3\/7 - 1596*u**2 - 247232*u\/7 + 2691840\/7 = 0.\nAnswer: -30, 8, 5608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzfffzfezfzfffffeff. What is prob of sequence pfz?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 20*y**2 + 7*y + 22. Let j = 121 + -249. Let s = j + 123. Is g(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the first derivative of 3511*v**2 - 15*v - 169. Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**5 + 216*q**4 - 3879*q**3 - 642*q**2 + 11232*q + 7776 = 0 for q.\nAnswer: -1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 1. Let s be m(-2). Solve -1 = -x - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/396?  (a) 3  (b) 22  (c) 8  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n. Let j(s) = 13*s + 3. What is d(j(c))?\nAnswer: -13*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - 0. Suppose p - f - 158 = -34, y = -3*f - 9. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 21662102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*d**2 - 27*d**2 + 462*d**2 + 127*d**2.\nAnswer: 595*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7465, -14973, -22483, -29995, -37509, -45025, -52543?\n\"Answer: -x**2 - 7505*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1112321 - -10?\nAnswer: 1112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 998*l + 1001*l = 72, -10*l = -14*l + 76 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 + (-2)\/2)*(-17)\/((-11730)\/552)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 46569610 divided by 65591\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -1, -1704 in ascending order.\nAnswer: -1704, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 4*o - 3. Give k(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 12*h + 72. Let x(m) = -m. Let g(q) = o(q) + x(q). Let a be g(-6). Let y(b) = -b**3 + 7*b**2 - 10*b + 6. Give y(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**6\/1260 + l**5\/210 - l**4\/84 - l**3\/6 + 2*l**2. Let m(c) be the first derivative of n(c). Factor m(v).\nAnswer: -2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 10, -24, -3, -1, 1 in ascending order.\nAnswer: -24, -3, -1, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13188922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3007*d*v + 8565381*d - 141*v wrt v?\nAnswer: 3007*d - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 173535973.4 and 3?\nAnswer: 173535970.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*r - 476 + 1110, 3*r - 519 = 5*d. Solve r - 43 = -15*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-2) + (9 - 3). Solve -u*t + 5*o + 4 = -2*t, 16 = 4*t + o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11140*k - 11139*k - 9 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/(-24) + (-25)\/4. Let q be (-3)\/(-4)*(-3 - x). Suppose -f + 14 = -q*y, 4*y = -4*f + 3*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2 - 38*u + 130. Give a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r**5 - 127*r**4 + 135*r**3 + 72115*r**2 - 71896*r - 143748 = 0. Calculate r.\nAnswer: -22, -1, 2, 27, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/6*(-16 - 2). Solve -4 = 4*p, 0*p + 3*p = -2*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*26*2\/8. Suppose b + 144 = x*b. Calculate the greatest common factor of 18 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 - 23*v + 4. What is the units digit of p(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -749\/8 and -42 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 5\/4004 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 - 38*l**2 - 13*l + 82. Is q(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 799*o - 3154 + 167*o + 354 wrt o?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -307336 (base 11) in base 10?\nAnswer: -492872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-152) - (-11 - -15)\/32?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 5*g**2 + 2*g - 3. Let d be k(6). Let a = 136\/3 - d. Sort a, 0, 1\/6 in decreasing order.\nAnswer: a, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 15113, 15049, 14983, 14915, 14845, 14773?\n\"Answer: -u**2 - 61*u + 15175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -q**6\/144 + 11*q**4\/24 - q**2. Let o(a) be the second derivative of u(a). Let l(k) = k. Give o(l(v)).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dbvvvsppvmsbbd. What is prob of picking 2 b, 1 m, and 1 s?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - o + 4*j = -23, -5*o - 4*j = 5. Suppose h = 4*x - 9, -3*x - 593*h + 592*h = 2. Let t be ((-42)\/4)\/3*2. Put x, t, o in descending order.\nAnswer: o, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 40 + -16d72?\nAnswer: -16d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(35))\/sqrt(7) + sqrt(20)\/(-5*sqrt(4)).\nAnswer: -11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sja when three letters picked without replacement from jaahsaaahsa.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 9*v - 14. Let k be l(11). Let r be k - (-4 + 0 + 1). Suppose 0 = -3*s - 4*i + 12, -4*s + 5 = -i - r. Solve -2 = -s*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.6 times 0.1?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*a = 4*g + 63, 2*a + 54 = -3*g. Let m = 30 + g. Suppose -s - s + m = 0. What is the highest common divisor of 42 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 311, 624, 941, 1262, 1587, 1916?\n\"Answer: 2*a**2 + 307*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qxk when three letters picked without replacement from {q: 10, k: 3, x: 1, c: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 662445822 a multiple of 8549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*o = -3, 5*o - 27 = 3*s. Let l be (-171)\/228 + 1*(-3)\/s. Solve -3 = -f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33191456 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 4\/(12\/15). Let i(h) be the first derivative of h**3 - 2*h**z - h**3 - 2. Let s(f) = -3*f. What is i(s(p))?\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3 = 2*m - 0, -4*i - 12 = 0. Let c be 6\/(-4) - 36\/(-8). Suppose -c*r + 10 = -r. Solve -r*w + m*w + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(1320\/32)*(-2)\/(20\/45).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19823 and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 0*h - 24 = 0. Suppose -r = 4*r. Solve r - h = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h**(6\/11)))\/h)**(2\/9)\/(h**(5\/6)\/(h*h**(-10))) assuming h is positive.\nAnswer: h**(-2059\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*n = -3*n - 95, -2*d + 5*n + 91 = 0. Let u(x) = -152*x. Let c(p) = 16*p. Calculate d*c(b) + 5*u(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2811 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 1. Let y be q(-4). Suppose 4*k - 72 = -y*h + 2*h, 0 = h + 2*k - 22. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of -z**5\/20 + z**4\/4 + z**3\/3 + z**2\/2 - 7*z - 158. What is w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -1, -15 in ascending order.\nAnswer: -15, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 4*c + 2. Let g be o(3). Let i = g - -5. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -177 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/8 and -73\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(63))*6)**2 - (0 + 2*sqrt(63)).\nAnswer: -6*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*n + n**2 - 42 - 9*n + 13 - 162 - 20*n.\nAnswer: n**2 + 2*n - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 + 1. Let v(b) = -10*b**2 - 35*b - 25. Let f(n) = 5*u(n) - v(n). Factor f(j).\nAnswer: 5*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -459*x**2 + 199661*x + 1735. Calculate a(435).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -131232 - 3?\nAnswer: -131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + -7 + (-108)\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y*y*(y\/(y**(-8)\/y))\/y)\/y)\/y)\/y*y**(-2)\/y*(y*y**(-1))**(2\/21))\/((y**(2\/19)\/y)\/y**(-1\/3))**(-1\/54) assuming y is positive.\nAnswer: y**(7679\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*d = -0*d - 252. Suppose -d = -4*t - 2*t. Suppose 0 = 4*p - t*p. Solve p = -3*h + 8*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 398*l + 22*l + 1014 = 3534. Let p(z) = -z + 3. Let o be (2 - 3)*2 - -41. Let v(b) = 7*b - 19. Calculate l*v(k) + o*p(k).\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11690 + 142200\/13. Let q = i - -752. Let p = -7 - -5. Which is the nearest to q?  (a) 1\/10  (b) 0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 6*z**3 - 4 + 24.\nAnswer: -6*z**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-10545)\/266)\/(-15))\/(40\/(-140))?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oovooov. What is prob of sequence vooo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -898, -1340, -1782?\n\"Answer: -442*i - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand t - t - t**3 + (t**2 - 3*t + 3*t)*(3 - 3 - 8*t) + 5*t + 6*t**3 - 5*t + t**3 + 0*t + 0*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.6733?  (a) 3  (b) 0  (c) 175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/11 or -3\/4?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 106836 to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -29525223\nAnswer: -59050446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 - 8*z - 2. Let v be t(-7). Suppose 0 = -v*j + 5 + 40. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9392 + 10320.7. What is p rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 5*o - 11. Determine y(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 46, -334, -984, -1904?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5085 = -2*g - 3*x, 4*g - 5*x = -g + 12750. Suppose g + 2333 = 4*s. Round s to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (140\/(-3))\/((-1)\/3). Suppose 3*a - 7*a = 5*f - d, -2*f = 0. Suppose 3*i - 42 = -6. Calculate the remainder when a is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257010503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2053 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 l when four letters picked without replacement from {d: 17, l: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5445*t + 5483*t - 76 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of -k**5 - 16\/3*k**3 + 0*k**4 + 2 + 0*k**2 + 0*k. Find the third derivative of o(t) wrt t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15958569*b**4 - 4811140*b?\nAnswer: -191502828*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -2\/115, 10, 1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**2 + i - i)*(-6614 + 1281 - 963 - 7843) as m*i + h*i**2 + v and give h.\nAnswer: -28278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -1000011?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41613674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-279699.61\nAnswer: -139849.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*v - 43*v = 295. What is the fourth biggest value in 3, v, -15\/2, 1\/4?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3336 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6995258697.\nAnswer: 3, 7, 1801, 184957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/12 and 51\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 12:36 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2036, 2039, 2052, 2081, 2132, 2211, 2324?\nAnswer: 2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.2 in 0.13, -1, 1, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*z + 9*z + 15*z - 840 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*c = -36*c - 600. Suppose 4*g - 7 - 493 = 0. Calculate the highest common divisor of c and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166242 is divided by 187.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000451804 rounded to five decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 2  (c) 1989\/8  (d) 4  (e) -2  (f) 9  (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(192) + -1 - sqrt(192))**2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-12\/11)*s**(7\/2)*(s**8*s)\/s**(2\/7) assuming s is positive.\nAnswer: s**(1867\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 118 = x - 66, -2*x = 8*s - 184 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20815727*m**5 + 48296152*m.\nAnswer: -416314540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.3, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 428949 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -18, -62, -144, -276, -470?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 138 + -137. Is 2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of 0 - 1\/210*i**5 + 0*i**4 - i + i**2 + 1\/21*i**3. Let b(m) be the first derivative of o(m). Find a such that b(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 35*k - 117 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-9)\/5) + 23994\/(-2322)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6501 - 349 = -525*g - 5183 + 18283 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 90 + 6. Suppose 4*l - 5*l + d = 0. Calculate the highest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (260\/234)\/((-10)\/(-6)). Which is the smallest value?  (a) 152  (b) -30  (c) 3  (d) l  (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 + (-94)\/(-235) + (1\/(-10))\/((-4)\/(-336)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4445976?\nAnswer: 2, 3, 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -470*u = -476*u. Solve -c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40929\/9745)\/(2\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, o: 3, u: 7}. Give prob of sequence uiui.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13805389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of -17*q**8\/336 + 13*q**4\/24 - 7*q**2. What is the second derivative of p(z) wrt z?\nAnswer: -340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70778, 283105, 636968, 1132367?\nAnswer: 1769302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 6*h - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 8. Let l be k(-6). Let p(q) = -122*q**2 + l*q**2 + 39*q**2 + 42*q**2. Let d(u) = u**2. What is 2*d(g) - p(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*-11292\nAnswer: -4516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, k: 3}. What is prob of sequence nkkn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, -219, -972, -2473, -4974, -8727?\nAnswer: -13984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*c + 57 - 632. Suppose 14*v + 4905 = c*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 13479300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1921*h**2*q**3 - 4*h**2*q**2 - 98*h**2*q + 4*h*q**3 - 19*h*q + 382*q**4 - 2*q**2 - q wrt q?\nAnswer: 11526*h**2 + 24*h + 9168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 51787 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 12:19 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 74549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 140.3 and 4061953712?\nAnswer: 4061953571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 249 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4644097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 + 18*i - 2. Let x(y) = -y**2 - 5*y. Let n(j) = 3*h(j) + 8*x(j). What is n(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (33*p - 20*p - 3 + 2)*((2*p**3 + 1 - 1)*(40 - 8 + 151) + 4*p**3 - p**3 - 4*p**3) to the form w*p**4 + q + u*p**3 + f*p**2 + c*p and give w.\nAnswer: 4745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86.26 + 0.74. Let b = 87.37 - m. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238\/9*w**2 - 2\/9*w**4 - 392\/3*w + 4\/9*w**3 + 0 = 0. Calculate w.\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1197.7103791 rounded to two decimal places?\nAnswer: 1197.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108) + 3*(sqrt(108) + 0).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 238*b + 2328*b + 76003 + 22027 = -9742 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1032 and 3268.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10845 or -10847?\nAnswer: -10847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -171*r - 40732*r**3 - 12 + 2*r**5 - 38*r**4 + 20370*r**3 + 20383*r**3 wrt r.\nAnswer: 40*r**3 - 456*r**2 + 126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o - 6*o + 39*o + (-2*o + 4 - 4)*(-5 - 14 - 7)*(4 - 2 - 1).\nAnswer: 80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-2) - (-3)\/((-30)\/(-215)). Solve 5*v - 2*t = x, 0 = 2*v + 2*t - 3*t - 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 227246747 - 3*j - 227246747.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of s**8\/168 + s**7\/35 - s**6\/6 + s**5\/15 + 3*s**4\/4 - 5*s**3\/3 - 5*s**2 - 5. Let b(k) = 0. What is k?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzigzgggaiggzjg. What is prob of picking 1 z and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2015*o**2 - 7*o - 67.\nAnswer: 4030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1720721 (base 9) to base 16.\nAnswer: -ea01c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1016.45 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 36) + 2 - (10 + (-9 - (10 - -1))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38832 (base 9) to base 5.\nAnswer: 1314232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.209 times -0.5\nAnswer: -0.1045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10*15\/10)\/((2640\/(-64))\/33).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20243021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128096 is divided by 1562?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203895450?\nAnswer: 2, 3, 5, 11, 17, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Do 80005 and 80002 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -34824*r - 3179. Let b(d) = 2*d**2. Determine a(b(j)).\nAnswer: -69648*j**2 - 3179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 17*b**6\/30 - 5*b**2\/2 - 13*b. What is the first derivative of d(n) wrt n?\nAnswer: 68*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 214\/(-14) - (-79 + 63). Which is the second biggest value?  (a) 89  (b) d  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -500 divided by 85341?\nAnswer: -500\/85341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 5*s + 28, -1201 = -4*i - s - 1197 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in sixty-one halves of a millennium?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-624 + -6)\/((-2)\/(-3)). Let d(g) = -32*g**2 + g - 4. Let j be d(7). Let i = j - r. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-45)\/(-6) - (-1)\/2. Suppose -5*i = -4*x - 12, -2*x + 0 = i + 6. Solve i = 7*d - 3*d + g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yey when three letters picked without replacement from {l: 4, e: 1, y: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-4)*s*s**6*s)**(1\/14) assuming s is positive.\nAnswer: s**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((-2 - -1 - 0) + -21 + 22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 15, 0*q = 5*q + 5*x - 30. Solve q*b - 22 = -7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -710034?\nAnswer: 5\/710034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 26. Let m be b(-13). Let k(n) = 2*n**2 - n + 1. Let r be k(m). Which is greater: -1\/26 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 478589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 330 and 20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1.38*-34\nAnswer: -46.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 285433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18 - 5*g**4 - 16 + 472*g - 423*g to y + b*g**3 + c*g**2 + n*g + d*g**4 and give n.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21.8 + -5.2. Let m = f + 27.2. What is the closest to -0.2 in m, 3\/7, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*((-36)\/(-15) - 2)*-1. Let a be 2\/(-6) - (-1570)\/(-6). Is -2 + (m - 3) - a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 31150280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 135.3372l to millilitres.\nAnswer: 135337.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -9678, -18681, -27700, -36741, -45810, -54913?\n\"Answer: -v**3 - 2*v**2 - 8990*v - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 10:33 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 12 - 0. Solve x = -0*x - i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 832 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - ((-1 - -2 - 1) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25174 + -25169. Solve -h*t - 14 = 2*s + 5, 5 = -5*s - 4*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 7\/2*h**2 - 1\/12*h**4 + 0 - 1\/20*h**5 + 4*h + 7\/6*h**3. Let d be g(-3). Solve 2*q = 8, -16 = d*m - 0*q - q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.1, 1, -942, -2, -1\/11, 759, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2. Let m = 34 + -31. Let y(c) be the second derivative of 0*c**m - c + 0*c**2 + 0 + 1\/12*c**4. Give a(y(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 32 - v + 0*v - 32. Let a(z) = z + 1. Let f(u) = -7*u - 6. Let d(l) = 6*a(l) + f(l). What is d(j(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -3*v**5\/10 - 5*v**4\/12 - v**3\/6 + 2*v**2 - 12*v. Let r(m) = -5*m**3 - 4*m**2 - m + 3. Give -4*r(f) + 3*z(f).\nAnswer: 2*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 26. Let h(w) = -w - 1. Let s(b) = -2*b**2 - 4*b - 4. Give t*h(n) - s(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 6:59 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 15, z: 4}. What is prob of picking 3 e?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 + 0)*(3*t**2 - 15*t**2 - 9*t**2)*(-1293*t**2 + 1890 - 1890) to the form v*t**4 + d*t + r*t**3 + p + l*t**2 and give v.\nAnswer: 27153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**3 + 0*j**4 + 2*j**4 + 2*j**2 + 0*j**4 + 1 + 0 to y*j**4 + s*j**3 + a + m*j + l*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 3 v when four letters picked without replacement from bazwbvbbbzvv?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/1)\/192 - (-2050)\/(-7200)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/50 and -81*5\/1410*5\/3.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46 - -29. Let r = d + 19. Let i = -3 - -3.1. Sort r, i, -5 in descending order.\nAnswer: r, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64270 rounded to the nearest 1000?\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuououuoowuwuo. What is prob of sequence uwuo?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2606838 to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 2*s - 20 = -4*g, 2*g = -3*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -543327939 divided by 187?\nAnswer: -2905497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 AM and 11:56 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 2*g + 2*g - g - 2*g + g + (0 - 3 + 2)*(-g + 1 - 1) + g - 4*g + g - 1 + 2*g + 1)*(-62 - 20 - 45) as s + z*g and give z.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 10*n**2 + 12*n + 3. Suppose 0 = 2*j - 7*j + 55. Let g be k(j). Suppose 3*v - g = 2*v. What is the least common multiple of 20 and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -60 or -772\/13?\nAnswer: -772\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.036 - 0.264. Let c = 0.39 + 0.01. What is the nearest to n in c, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 + j**2 - j + 2. Let p(b) = b**2 + b - 2. Let l be p(0). Let f be c(l). Suppose 0*v + 2*m + 20 = 4*v, 3*v - 29 = 5*m. Solve v*d + f*d = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 327110 and 1120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-60)\/(-60)*(3 - 1). Let i(b) = -b**3 + 2*b**2 + 8*b - 11. Calculate the least common multiple of 10 and i(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -332*h**2 + 5*h + 654*h**2 - 321*h**2.\nAnswer: h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211 + -221?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -31259*m + 1. Let i(v) = 44*v. Give i(z(p)).\nAnswer: -1375396*p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 343 minutes after 10:30 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 244*z - 3*z**2 - 244*z + 1 to k*z**2 + n*z + p and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66 or -38?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8460*a**3 + 59*a**2 + 8613*a**3 + 63 - 3201*a - 674*a**2.\nAnswer: 3*(a - 7)*(a + 3)*(51*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, -29, -5, 22 in decreasing order.\nAnswer: 22, 4, 2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -54cb0 - 4b9?\nAnswer: -55279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 3)*(-4 + 2 + 4)*(2 + 1 - 2)*(5*o**3 - 4*o**3 + 0*o**3 + (-2*o - 2 + 2)*(-3 + 3 - o**2) + o**3 - 2*o**3 + 0*o**3 + 0*o**3 - 8*o**3 - 2*o**3).\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 2, -1, -5, 78960 in increasing order.\nAnswer: -5, -1, 1, 2, 5, 78960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -2*n**5\/85 + n**4\/17 - 15. Factor m(r).\nAnswer: -2*r**3*(r - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 18 = -12. Let j = -7 + w. Let k = j + -1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(1*-6)\/(-2). Find the first derivative of -1 - 3 + m + 2*y + 2 wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5925 or 5923?\nAnswer: 5925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.1  (b) -0.3  (c) 5  (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -43 - y - 24 + 39 - 12. Determine c(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 42 in -2\/3, -90.89, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 213253420 to the power of 1\/2, to the nearest integer?\nAnswer: 14603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 + 31 + 10*g**2 to h*g + f + d*g**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**3 + 9401*k**2 + 1 + k**4 - 9401*k**2 + 1 - 61*k + 221*k to the form n*k**2 + o*k**4 + f*k**3 + l + g*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -2  (b) -4  (c) -0.3  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*h - 89*h = 120*h - 2920 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(-8\/9)*v*v**(-13)*v assuming v is positive.\nAnswer: v**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29096.49147 + -29097. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*j**3 - 653*j**2 - 3*j**3 + 671*j**2.\nAnswer: -11*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 + 100. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2592 - -15509\/6. Find the common denominator of d and -69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-432)\/(-252)*49\/2. Is 52 a factor of 462\/4*56\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 6, o: 1, m: 5, x: 5}. What is prob of sequence omx?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 44*f**2 + 4*f + 3. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10766279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/10*(-5)\/(-6). Let u = 38942 - 77883\/2. What is the third smallest value in 1, q, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 3  (b) -2\/11  (c) -13  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 702274 <= 702092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -12 + -3 + 10 + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xqb when three letters picked without replacement from bxqlqblbqllbblb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4048 and 457171?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17306)\/238 + -11 - (-96)\/(-336).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1447883339\/19283 - -75086. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j + 3*j + 3*j. Let d(r) be the first derivative of r**3\/3 - 3*r + 1. Let h(p) be the first derivative of d(p). Give x(h(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2386 - 2386 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1027962 is divided by 173?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w*((w**1*w)\/w*w)\/w))**22*(w\/(w\/(w*w**0)))**(-3\/20) assuming w is positive.\nAnswer: w**(-883\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 4*v + 13, -2*o + 4 = 8*v - 11*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 3*r + 3, -2 = r - 1. Let s = -142 + 142. Suppose s = 5*z + 19 - 34. Solve -c - d + 5 = x, -3*d = c + z*c - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - q = -2*y - 10, 0 = 2*q + 8. Let f = y - 8. Suppose -4*o + o = -f. What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l**2 - l + 2. Let j be o(-2). Let u be (-2)\/6 + 28\/(-6). Let k = -10 + 11. Which is the nearest to 1?  (a) u  (b) j  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -679*r + 170. Let s(n) = -227*n + 57. Let z(i) = -6*k(i) + 17*s(i). Is z(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 67) + -15 + 152 + -121?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 277664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3*d - 6. Let m be r(-3). Suppose t + 3*k - k + 17 = 0, -m*t - 3*k = 48. What is the least common multiple of t\/(-25) - (-2)\/5 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 7*p - 2*p - 40 = 0, 5*q - 3*p = 16. Find the second derivative of 4355*h - h**2 + 16*h**q - 4370*h + h**2 - 2 wrt h.\nAnswer: 320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(608))\/(sqrt(8)*-6).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2501)\/(-82))\/((-1)\/10). Let j = -302 - f. Solve -j*b - 6*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k**2 + 0*k**2 + k**2)*(-1 + 1 + 1) + (k + k - 3*k)*((2*k - 4*k + 0*k)*(-2 + 11 - 45) + 0*k - 4*k + 2*k) as v*k**2 + b*k + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 + 3 - 99*p - 753*p + 6 to the form b + g*p and give g.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6335 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -6*p**5\/5 + 3*p**4 - 9*p**3\/4 + 3*p**2\/4 + 21*p. Factor i(q).\nAnswer: -3*(q - 1)*(4*q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -4.7  (b) -4  (c) -72940\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29017?\nAnswer: 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 18, y: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.27 + -0.67. Which is the second biggest value?  (a) -2  (b) v  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13162.235438 to the nearest 100.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -6 - 2 - 4) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -20 - -2 - (-16)\/4. Let y = k + 18. Put y, 0, 5 in decreasing order.\nAnswer: 5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/5 - 106*k**3\/5 - 336*k**2\/5.\nAnswer: 2*k**2*(k - 56)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j - 2. Let m be w(3). Suppose 0*l = 2*l - m. Suppose 0*o = l*o - 340. What is the greatest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4*w + 105 = 1269, -2*q + 1199 = 3*w. Suppose -q = -4*g + 4*m, -m = 2*g + 3*m - 302. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/7 + 32*f**2\/7 + 26*f\/7 - 60\/7.\nAnswer: 2*(f - 1)*(f + 2)*(f + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 634674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1469*s - 5*k + 15 = 1464*s, 5*s + 5*k = -45 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-565)\/15)\/(((-1)\/756)\/1). What is the units digit of (-4)\/(-3)*o\/112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639655632 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15456\/4048*2\/(-6).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.037 + 0.037. Let m = -5773\/10115 + -1\/1445. What is the closest to t in m, -0.4, 0.031?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 605*s**3 - 324535365*s**2 - 295032525*s - 67052875 = 0.\nAnswer: -5\/11, 536423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21852450358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19126 and 1168.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -2*l + 2*q + 120, -3*q - 12 = 0. Let f = 45 - 43. Suppose f*c = 6*c - 40. Calculate the highest common factor of c and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 + 0*a**2 + 0*a**2 + (5*a + 2*a - 5*a)*(-5 + 5 + 2*a) + 2*a**2 - 2*a**2 + 2*a**2 - 2*a + a + 541 + 3*a**2 - 546.\nAnswer: 10*a**2 - a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + -1 + sqrt(637) + 5 - (sqrt(637) + 2*sqrt(637) + -3) - ((1*sqrt(52))\/sqrt(4) + (sqrt(156)*-1)\/sqrt(12)))**2.\nAnswer: -98*sqrt(13) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -18*l**3\/5 - 25269962*l**2\/5 - 3930880*l + 5615544\/5 = 0.\nAnswer: -1403886, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*x**4 - 296*x**3 + 7600*x**2 - 36568*x - 44460 = 0. Calculate x.\nAnswer: -95, -1, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -6 - t**2 + t + 0*t - 2 + 9*t. Let y be h(6). Solve -4*v + y = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21188 divided by 2\nAnswer: 10594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and (-5)\/(-2) + (-1309)\/(-34).\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122177 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + z)*(2*z**3 + 0*z**2 + 0*z**2) + 13 - 7*z**4 - 13 + (1 - 2*z**2 - 1)*(-2*z**2 - 1 + 1) - 4 + 4 + 2*z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -0*i. Suppose 4*r - 5*r = i. Suppose -2*w = -r*w - 172. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*y - 245 = -99*y. Suppose -3*a + 84 = p, -y = -2*p - 3*a + 110. Let q = -58 - -88. What is the highest common factor of p and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1370\/7672)\/((-2)\/21)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*j**2 + 210*j**2 - 21*j**2 + 31*j**2 - 77*j**2.\nAnswer: 161*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 4 + (sqrt(63) - sqrt(63)*1) - (((1*sqrt(112) - sqrt(112) - sqrt(112) - sqrt(112)) + 4 - sqrt(112)) + 5))**2.\nAnswer: -120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**19*f\/(f*f*f**(-19)*f))\/(f**(1\/4)*f*f**(-2\/3)) assuming f is positive.\nAnswer: f**(425\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 974000 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -8, -81122 in descending order.\nAnswer: -1, -8, -81122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23 + 13 + 8 + 49*c to the form n*c + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -2\/9, -145?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 36636300 to the nearest one hundred thousand.\nAnswer: 36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 - 63741*n**2 - 127461*n + 191205.\nAnswer: -3*(n - 1)*(n + 3)*(n + 21245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/3*u**3 + 13\/3*u + 1\/2*u**4 - 1\/2*u**2 + 0.\nAnswer: u*(u - 1)*(u + 1)*(3*u - 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 10*m**2 - 12. Let h be i(10). Let j be 4*(-3)\/h*3. Suppose 0 = -4*o + 47 - j. What is the remainder when 41 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3564)*-3)\/sqrt(4).\nAnswer: -27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 132\/28 + (-4)\/(-14). Let y(s) = 3*s + 6*s**2 - 5*s - 2*s - 1 - s**3. Let b be y(o). Solve -2*x - 2*x - b = -4*i, 2*x - 22 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -12. What is the least common multiple of 16 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 3*y - 18, 0 = -y - 4*y + 2*z + 30. Is 13 a factor of ((-3)\/y)\/(2\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 3*t**2 + t. Let d be v(1). Suppose g = -d*g. Let j(x) = -x**2 - x + 28000. Let a be j(g). What is a rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -5 - 30\/(-9))\/(4\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of 0*r + 0 + 7\/12*r**5 - 5\/3*r**3 - 1\/8*r**6 + 5\/8*r**4 - r**2 - 5\/42*r**7. Find a, given that t(a) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-75)\/175)\/(12\/(-14)). What is the smallest value in 1\/16, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*(-11)\/((-165)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -18*t + 324. What is the remainder when 227 is divided by r(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40361 by 6983.\nAnswer: -40361\/6983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 12) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 272166 (base 8) to base 7.\nAnswer: 544663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3098654747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-8) + (-7)\/(-4 + 32). What is the closest to 0.5 in -4, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (248909094\/49)\/9 - -2*1\/7. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + 3*r**3 + 2*r**3)*(-2 - 3 + 3) + 107*r - 310*r + 97*r + 3919*r**3 + 106*r.\nAnswer: 3913*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (5 - (8 + -21 + 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 - 8*x**2 + x - 6. Let h be g(8). Let m(k) = 2*k**2 + 0*k - 3*k**h + 4*k + 3. Let t be m(4). Let c(z) = z - 4. Give c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c**2 - c - 1. Suppose -2*z - i = -16, i - 6 = z - 2*i. Let m be ((-6)\/(-9))\/((-4)\/z). What is d(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -3643?\nAnswer: -3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 - 1014 = -7*r. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43065 or -172259\/4?\nAnswer: -43065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 735 and 77.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -343.1 - -350. Let f = 3.9 - t. Which is the nearest to -1?  (a) -0.2  (b) 0.5  (c) 4  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 253\/3 + -84. Let l = -5 + 8. Let t = l - 2. What is the second smallest value in y, t, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 261*k**2 - 492*k + 491. Determine c(1).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 289 = 5*p. Let t = -146 - p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -1. Let v(j) = -j**3 + j - 4. Let y be v(-3). Suppose 4*b = -y, -i*m + 2*b + 750020 = -2*b. What is m rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 5*q + 2. Let v be j(5). Let k(a) = 8*a**2 + 1 - 2*a**v - a**3 - 6*a + 0*a**2. Let r be (10\/(-4))\/(2\/(-4)). Give k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + d - 2)*(0 - 1 - 1) - 6*d - 4*d + 11*d + (-3 + 2 - 1)*(0 + 2*d + 0) + 3*d - 2*d + d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -139\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -z + 4. Let d = 31 + -24. Calculate the highest common divisor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82802357 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: Calculate -98 divided by 553.\nAnswer: -14\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**3 + h**2 - 2*h - 3. Let n(t) = t**3 + t**2 - t - 2. Let i(a) = -n(a) + r(a). Determine i(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -57 - -56.39. Let j = 34.61 + p. Let c = 33.9924 - j. Round c to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55875*o + 54 = 55857*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19538 is divided by 559.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 95*w**4 + 55185*w**3 - 61100*w**2 + 5820*w = 0.\nAnswer: -582, 0, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 18*y = -23. Let i = 17 - 24. Let c(q) = q**2 + 6*q - 1. Let k be c(-6). Sort i, k, y in descending order.\nAnswer: y, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 31 + 40 = -13*p, 3*p - x + 2666 = -0*p - p + 2644 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 87 = 3*l - 258, -2*p + l - 229 = 0. Let v = -109 - p. What is the second smallest value in 0, -3.3, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2046, -26.97, 3\/5 in descending order.\nAnswer: 3, 3\/5, -26.97, -2046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 728.19*-0.6.\nAnswer: -436.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 + 49*p**2 + 35*p + 28. Give j(25).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1630*l + 9798. Determine m(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -68  (b) -1\/4  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1349 - 666.\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 0*k = 2*y + 80, -3*y = -2*k + 100. Let x be 4 - 696\/y - (-1)\/(-5). Suppose -3*p = 21 - x. Solve 0*b + p*b = 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 31096*w + 62190*w - 31091*w + 1.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (18 + 1)*1\/(-2)*-46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 664510647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {z: 1, l: 1, n: 1, s: 1, a: 1, i: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8937\/2 + -62567\/14. What is the third smallest value in -61, 1\/10, f, 3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = -0*s + 13*s. Suppose -s*i - 684 = -9124. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = h + 3*b + 8, -6*h - 5*b + 2 = 3*h + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -84, -4, -1, -90, 1, 4 in decreasing order.\nAnswer: 8, 4, 1, -1, -4, -84, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 3*x + 81 = 1578, 0 = -4*g - 3*x + 2000. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -65903?\nAnswer: -2\/65903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13702 and 34?\nAnswer: 13702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*j**2 + 17*j + 614 wrt j?\nAnswer: 20*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y + 6. Let j be ((-240)\/70)\/((-8)\/(-28)). Calculate a(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47705 - -47818.951. Let i = -114 + m. Round i to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2102268084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m = 16*m - 5*g + 9, -7*g + 43 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 188, 381, 576, 773, 972, 1173?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -2  (c) 2\/21  (d) 4725  (e) 1.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39 - -101) + -10 - (-54 + 15)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3333520303 - -3?\nAnswer: -3333520300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 5*q + 13 = -8*m, 0 = -2*m + 3*q + 2. Calculate the lowest common multiple of 148 and m.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g + 4. Suppose 2*k - 5 = 1. Let t be 1 + -8*k\/(-6). What is u(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + r**2 + 0*r**2)*(-2*r**2 + r**2 + 3*r**2)*(r - 1 + 1).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 + 6)*(2 + 10\/(-8)). Suppose -y*g + 3*m - 9 = 0, -m - 26 = -3*g - 5*m. Solve -4*q + g*q + 16 = 5*f, -14 = -5*f - 3*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**3 + 47*g**2 + 19*g + 123. Determine i(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 7*f**3 + 2*f + f**2 - 3*f**2 + 25 - 52 + 0*f**3 + 24. Determine l(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/7  (b) 2  (c) -2  (d) 3  (e) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 185242.4 millilitres?\nAnswer: 185.2424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l\/(l\/(l**(-1)\/l)))\/l))\/l**(1\/8))**(13\/6)\/((l*l**(-9))\/(l\/(l*l*l**(1\/7)*l)*l)*(l**(-2\/7)\/l*l)**(3\/4)) assuming l is positive.\nAnswer: l**(5197\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*s + 78*s = -162 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.07086628 times -4\nAnswer: 0.28346512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 41545 = 5*x, q - 28678 - 12811 = 3*x. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -3*x + 27, 0 = 4*x - 5*c + 4*c - 19. Suppose -36 = -4*m + x*v, -5*v - 3 + 2 = -m. Solve m*a + 60 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.057634 rounded to 4 decimal places?\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-233 + 169 - 82 - 198)*(12*x**5 + 5*x**5 - 32*x**5).\nAnswer: 5160*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+0.159\nAnswer: 0.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -143*y + 146*y + 7, 4*b + 5*y = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 133626756 a multiple of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -92050970 divided by 443?\nAnswer: -207790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3\/179, -34, 4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -20, 0.2, -662.\nAnswer: -662, -20, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 0*c**2 - 85 + 2\/3*c**3 + 0*c. Let h(r) = 11*r. Determine o(h(a)).\nAnswer: 242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-56)*(-25)\/((-10725)\/182)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5430 is divided by 1807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-9)*(-12)\/(-10). Let r = -35.1362 + 0.0362. Let l = r + 35. Which is the nearest to -1?  (a) l  (b) -4\/9  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 765851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -288518 and -0.02.\nAnswer: 5770.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5359798946.\nAnswer: 2, 53, 71, 712171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiiiriiiiiiiri. Give prob of picking 1 r and 1 i.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-490)\/1715*(-77)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*b - 20436 + 4756. Let s be (-3)\/5 - 504\/b. Factor s*q + 1\/7*q**3 + 1\/7 + 3\/7*q**2.\nAnswer: (q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 5457*r + 87317. Calculate y(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**3 - 59*h + 64*h + 2 - 4)*(0*h - h - 2*h)*(-2 - 4 - 1).\nAnswer: 21*h**4 + 105*h**2 - 42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-6)*f)\/(f**(2\/11)\/f))\/((f\/(f*f*f\/(f**(-2\/3)*f)))\/f)**(-45))**(11\/6) assuming f is positive.\nAnswer: f**(-683\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 249063337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 7 - 1)*(-105 + 99 + 7*i + 5*i).\nAnswer: 60*i - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -q**2\/2 + 15*q - 4. Let t be v(-11). Let i = 0 + t. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/8*(4\/2)\/((-118)\/826).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39525775 divided by -775.\nAnswer: 51001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -4, 2\/3, -858 in decreasing order.\nAnswer: 2\/3, -2\/5, -4, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 * -101\nAnswer: 9.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -79 + 4 - (-3410 - -3372)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.6 - 7. Let h = x - -1. Which is the nearest to 0?  (a) -1\/2  (b) 0.3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5 + (-63)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33058 times 12?\nAnswer: -396696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l. Let n be (-2)\/(-8)*-1 + 34\/8. Let f(o) = -o + 1. Let x be f(-3). Let v(b) = -x - b + n - b. Calculate v(w(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.123 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 29*i - 9. Determine s(-6).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x + 3. Let l be m(3). Let a be 1*-1*(3 + -2). Let i be ((-4)\/a - 5\/3) + -1. Sort l, 1, i in ascending order.\nAnswer: l, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(513))\/sqrt(9))\/sqrt(3).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 286 or 1149\/4?\nAnswer: 1149\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + b**2 - 4*b + 3. Let f be w(2). Let k = f + 8. Is (413\/(-21))\/(k\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 * -65.77\nAnswer: 855.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + 50\/350*-287?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 537, 58920, -2 in decreasing order.\nAnswer: 58920, 537, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 5*u - 5, 3*u = -o + 4 + 1. Let j = 1 - o. Suppose -j*a + 4 = 2*x - 70, 5*x - 203 = 4*a. Calculate the highest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/9)\/((l\/l**(-2)*l*l)\/l)*l**2*l**4*l**(-1\/3)\/(l\/((l*l**(-1\/6))\/l))*l**(-1\/2)\/l**(-1\/9) assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -4\/5  (b) -0.2  (c) -1  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**2 - 41*o. Let a = 87 - 73. Let x be s(a). Calculate the greatest common factor of x and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/10)*u*u\/u**(-15))\/((u**(-15)*u)\/(u*u*u\/u**9*u)) assuming u is positive.\nAnswer: u**(261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 0*a**2 + 0*a**2)*(-7 - 5*a + 6*a + 0).\nAnswer: -2*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 96696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -30709.298 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7247622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 78 = -4*l + 65, -l = -3*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcfd when four letters picked without replacement from fdjcjfjfffw?\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -10*z**2 + 59*z + 1. Let b be d(6). Let t(s) be the third derivative of s**4\/12 + 7*s**3\/6 - 2*s**2. What is t(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43 - 34. Suppose -10 = 2*a - i - 157, 2*a - 4*i = 138. What is the highest common divisor of a and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1400723*h**3*t - 281*h**2*t + 2*h**2 + 36*h wrt h?\nAnswer: -8404338*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 0 + -5 - -9 - (-53 - -58) - 32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 10\/7, -0.1, 0.41, 42, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 8) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4*o**2 - 13*o - 13. Let z(g) = -g**2 + g. Let y(w) = -5*w**2 + 9*w + 3. Let c(f) = y(f) - 6*z(f). Give -26*c(m) - 6*k(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.471571197 rounded to three dps?\nAnswer: 1.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -98668*c**3*g**3 + 3*c**3*g - 212*c**3 - 2*c**2 - 2*c*g**4 - 3*c*g - 2*g wrt g.\nAnswer: -592008*c**3*g - 24*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9803369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 806 + 407. What are the prime factors of x?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (x**2 - 4*x**2 + 2*x**2 + (-4 + 4 - 2*x)*(3 - 2*x - 3))*(2 - 1 + 0)*(-12 - 6 + 9)*(3 - 4 + 3) to g*x + q*x**2 + c and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 + 28.0095. Round i to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 653 divide 8706449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/13248 and -131\/1770816?\nAnswer: 5312448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2647650568.\nAnswer: 2, 113, 2928817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1632 is divided by 1266.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011111001101011110000 (base 2) in base 3?\nAnswer: 111202121010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/9)*a**(-12))\/((a\/(a\/((a\/((a\/a**(3\/2))\/a))\/a)))\/((a\/((a\/(a\/(a*a**(-2\/25))))\/a))\/a)) assuming a is positive.\nAnswer: a**(-5939\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 250325449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l + 0*l + 2*l**3)*(4*l - 5*l + 9*l) + 13*l**4 + 11*l**4 - 43*l**4.\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + 3 + 0 + 933. Let o be (-38555)\/(-45) - (8\/36)\/(-1). Let r = o + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7416 - -7498. Calculate the remainder when 239 is divided by a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 3.4. Let z = 9\/34 + 4\/17. What is the closest to r in -2, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -173*y + 172*y + 2. Let n be (4 + -5)*(y + 0). Calculate the remainder when 92 is divided by (1\/n)\/(((-18)\/(-76))\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-9))\/(8\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3653725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8691 - -8484.94. Let x = -206 - q. Which is smaller: x or 8\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 580874*a**2*d**2 + 2*a*d**2 + 2*a*d + d**2 - 19479*d wrt a.\nAnswer: 1161748*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 144703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.2 + -12.2. Which is greater: -8\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-3 + 3) - 4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0877 to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 8 = -0*w. Let 3*o**5 - 3*o**2 - 8*o - 3*o**3 + w*o + 3*o**4 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -16*i - 2. Let w be a(-2). Suppose s + 18 = 4*l, -4*l - s = 4*s - w. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, d: 3, s: 1, m: 6, h: 1}. Give prob of sequence dmh.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4260, -6243, -8244, -10275, -12348, -14475?\nAnswer: -16668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*g + 3*g + 430, 2*m + 445 = -5*g. Let j = g - -92. Suppose 0 = 4*p + j*y - 0*y - 584, 0 = -5*y + 20. List the prime factors of p.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 15\/(4 + 1) - (0 - 3). Let g(h) = 5*h - 2. Let o(c) = 11*c - 4. Let l(r) = y*o(r) - 13*g(r). Let i be l(-3). Let a(p) = p**2 + 3*p + 1. What is a(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3 + 120*c**2 + 29*c**2.\nAnswer: 149*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2332 divide 213738424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 35*j + 183. What is z(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 + 18*v - 101. Let n be y(12). Is n < -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3 + 26325*h**2 + 210840*h + 421840.\nAnswer: -5*(h - 5273)*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**4 - 98106140*c**3 - 481240931497220*c**2 - 1924962548715360*c - 1924962156290880.\nAnswer: -5*(c + 2)**2*(c + 9810612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -124*h - 4058. Does 8 divide p(-67)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a126b (base 14) to base 4.\nAnswer: -101321000333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y - 3*u - 45, 7*y + 168 - 342 = 3*u - 6*u - 147 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/5 + 6 + (3 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hwhwehbsweeeh. What is prob of sequence hbee?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -21. Find the common denominator of 35\/16 and (-2 + 213\/144)*d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39521\/5084 + 251\/31. Let t = -3\/41 + y. Let r = 5\/4 + t. Put r, -4, -0.1 in descending order.\nAnswer: r, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -j - 3*k + 2, 5*j - k = 36. Let g = -12 + 14. Let d be (-7 + 5)*(-7)\/g. Solve 9 = 3*r, 3*b + d = j*b + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -3*h**3 - 7*h**2 - 40*h - 77. What is the remainder when o(-11) is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29151.723 months in years?\nAnswer: 2429.31025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23220.74 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16335, -15332, -14329, -13326?\nAnswer: -12323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/7, 1\/6, 0, -74.27, 2\/3, 68\/23?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 508*o**3 - 245*o**3 - 247*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - (sqrt(432) + 4*sqrt(432)))**2 + ((sqrt(3) + 0 - sqrt(3)) + -2)**2.\nAnswer: 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 - 26 - 4*w)*(0 + 2*w + 0) - 2*w**2 - 2 + 2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -141. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*y - 1041 = 0, 0 = -3*d - y + 2243 - 698. Suppose 4*f = f + d. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14)\/(-4) - (-6)\/(-12). Let g = 13 + -4. Let t = 14 - 8. Solve t = w*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, -14486520, -2, 1\/6, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 41910*q**2 - 40199.\nAnswer: 83820*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 27 + 7 = 0. Let x be (-9)\/(-6) + (-6)\/z. Let q be (-1)\/(-3) - x\/9. Solve 5*o + 0*o + 15 = q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-167 - (119 + -200)) + (1 - -18).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 12, p: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + n**3 - 7*n**2 + 11*n**4 - 831481*n - 2 + 831479*n to the form b*n**2 + r*n**4 + p*n**3 + s + h*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 + -22*-1*(1 - 15\/10). Sort -11, -7\/2, t, -0.1 in decreasing order.\nAnswer: -0.1, -7\/2, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeeeeee. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*t**3 - 11*t**3 + 25*t**3 + 10*t)*(-3 - 4 + 4)*(2 - 7 - 3).\nAnswer: -72*t**3 + 240*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 7, o: 3, f: 2, r: 8}. What is prob of sequence woof?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 10 - 8 = -b, 0 = -3*b + 3*h. Let c = -1 + b. What is the units digit of 18 - 2*(-3)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3380623*t**2 + 3380882*t**2 - 6757911*t**2.\nAnswer: 3594*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18\/2293, -1\/8, -12, -2\/3, 6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 217994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*a + a**3 + 23*a - 672*a**2 + 685*a**2 + 2*a**3 in the form x*a**2 + k*a + r*a**3 + m and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4, -4*z + 4*i + 0 + 8 = 0. Suppose v + 4*v = 10. Find the first derivative of z - v*h - 2 + 0 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 300996, 601988, 902980, 1203972?\nAnswer: 1504964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -46007872741 + -0.3?\nAnswer: -46007872741.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.99 - 1.96. Let i = 467897 + -467893.96877. Let z = i - c. Round z to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10707387*5\nAnswer: -53536935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**14)**(-2\/13)\/(x*x*(x\/(x*x**(-35)))\/x*x**(-2\/23)))**(-47) assuming x is positive.\nAnswer: x**(534954\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {s: 1, f: 2, l: 1, v: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/4403 and -13\/35?\nAnswer: 22015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 - 2 - (16 - (23 + -15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32426.\nAnswer: 2, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5.085?  (a) 2\/17  (b) -17\/2  (c) 3  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 - 3*d**2 - 2*d**4)*(-1 - 1 + 3) - 103*d + 1394 - 1396 + 43*d + d**4 to g*d + n*d**2 + q + r*d**4 + o*d**3 and give g.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 73*w**2 + 642*w - 2. Give n(81).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 9:17 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 236 = 4*d, 310*d = 311*d + 2. What is the greatest common divisor of m and 24888?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/97853 and 58\/27804231.\nAnswer: 194629617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Suppose 4*f - o = 391, -14 = -3*f - q*o + 293. Suppose -2*n - y + 39 = 0, -n = -6*n - 2*y + f. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3 + 15*y**2 - 22*y - 96.\nAnswer: (y - 3)*(y + 2)*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-8))\/(147\/(-980)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -155922, -311843, -467764, -623685?\n\"Answer: -155921*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -3*y**5\/20 - y**4\/2 + 3*y**2 + 327*y. Suppose -4*b + 2 = -22. Let q(o) = -2*o**3 - 5*o**2 + 5. Give b*q(j) - 5*r(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - u = -7*x + 1937, -x + 2*u + 493 = 0. Suppose 5*q - 5 = 0, -3*v - 2*v - x = -3*q. Let h be (v\/(-80))\/((-3)\/(-40)). Solve -h - 4 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -348.576375 rounded to one decimal place?\nAnswer: -348.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20007754 at most as big as 20007759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -7 + 19. Suppose -b + 0*b + 3 = 0, 3*b - 17 = g*k. Let j(a) = -a**3 + 4*a**2 - 5*a + 3. Let c be j(3). Put -1, c, k in decreasing order.\nAnswer: -1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18 and -579?\nAnswer: 10422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*r - 60957 + 59607 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 3*v - 0*n, -4*n = -5*v. Suppose 4*t - t + 17 = -4*m, v = -2*t + 2. Suppose 1 - 10 = -3*k. Which is the closest to -1\/3?  (a) k  (b) m  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129020767 to the nearest integer?\nAnswer: 11359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 664053 or 1992161\/3?\nAnswer: 1992161\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 77\/84 - (-2)\/(-3). Let s = -0.6 - -1. Let w = 1.4 - -0.6. Which is the closest to h?  (a) -2\/9  (b) w  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -694.515 - -693. Round g to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mwmf when four letters picked without replacement from mwvsffswmwvsf?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + j**2 - j + 71. Let i = 63 - 58. Suppose 0 = 3*p - 2*p - i*p. Does 15 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 7) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -3*(sqrt(112) + 0))**2.\nAnswer: -24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 369291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -1140 + 595 + 633 + 492 - 29*b. Determine f(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from rrbrbubb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/18624 and 7\/2400?\nAnswer: 465600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 4:18 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 44, 103, 196, 329, 508?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 707774 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 87. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -451253243*m + 733900068 wrt m.\nAnswer: -451253243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (7429\/102)\/((-1577)\/(-996))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 27823030 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -90, -206, -376, -606?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -16. Let j(v) = 2*v**3 - 3*v**2 + v + 1. Determine j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 202\/9 + -21. Let j = -686 + 6238\/9. What is the common denominator of z and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + 43a?\nAnswer: 41c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4602653.\nAnswer: 11, 418423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 - (-6 + 4 + -3 + 2). Let k(u) = -10*u**3 - u**2 + 7*u. Let s(b) = -3 + 3*b**3 - 4 - 2*b + 7. Calculate j*s(g) + 2*k(g).\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-8)\/(-12))\/(-1) - 14\/(-12). Let c = -1.6 + 1.8. Suppose -d + 4 = d. Put b, c, d in ascending order.\nAnswer: c, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d + 27837 + 25827 - 53669.\nAnswer: 11*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93850 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-360))\/(2\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37800497977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*21\/4*1. Let n be ((-8)\/(-3))\/((-7)\/p). Let i be 19\/3 - n\/(-12). Calculate the greatest common divisor of 77 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-14)\/((-8)\/(-10) + -1) is divided by -8 - (2 - (36 - -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1001 and 94237.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1100) - -2*sqrt(1100)) + 2)**2 + 4)*-6.\nAnswer: -59448 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18643*m + 421236*m + 131926*m.\nAnswer: 571805*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53366093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)*-1*-5)\/((-2*sqrt(44))\/sqrt(4)) - (sqrt(77) + 3*-2*sqrt(77))\/(2*sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11)))**2.\nAnswer: 175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-1203.8.\nAnswer: -3611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 5:54 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -77337 + 77342. Let t = 2 - 2. Let a = 0.4 - t. Sort 2\/15, -2\/3, v, a.\nAnswer: -2\/3, 2\/15, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3420 and 200?\nAnswer: 34200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 3*i + 4 - 117, 5*y - 151 = -4*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9030*a**3 + 9*a**2 - 1294902*a?\nAnswer: 54180*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -208 divided by 11330.\nAnswer: -104\/5665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 3*w**4 - 39*w**3 + 108*w**2 = 0?\nAnswer: 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 3*v + 0 - 6 + 5*v.\nAnswer: -v**3 + 8*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37507\/4 - 9378. Let n = 84 - 82.34. Let w = n - 1.7. Which is the third biggest value?  (a) i  (b) w  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3337032953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-15*15\/(-50)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a = -4*t - 306 + 48, 0 = 4*a - 0*a + 1242*t - 1231*t + 647 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/533?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*n + 904 = 0, -73*l + 4*n = -69*l - 3640. Let x = l - 236. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47730517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(11\/(-8))\/((-9)\/72)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -5. Let i = 207 - 202. Suppose -l + 5*v = 8, i*v - 16 = -6. Solve 18 = -t*p + l*y, -2*y = 4*p + 3*y + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9256 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 divided by -8167.\nAnswer: 14\/8167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 5*k - 20, -2*x - 3*k - 12 = -x. Let n(y) be the second derivative of 0 + x*y**3 - 1\/4*y**4 - y**2 + 3*y. Differentiate n(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + 7*t + 7. Let o be f(-5). Let y be 145\/(-15) + (-2)\/o. Calculate the common denominator of (y\/(-96))\/(9\/294) and 5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*o + 20 = 0. Let l = 40\/87 - -6\/29. Let x = 11 - 5. Which is the second smallest value?  (a) l  (b) o  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 45 = 5*j + 35, 2*k = 2*j + 20. Let r = j + -2. Let z = -6 - r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)\/(-3*sqrt(2)))\/(sqrt(9)\/(sqrt(6)\/sqrt(2))) + (-1*(sqrt(88) + sqrt(88)*1))\/(1*sqrt(8)*-4))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - -20. Suppose 9*u - 1161 = m*u. Suppose -5*f + u + 398 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -53, -106, -199, -344, -553, -838, -1211?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -5*g**3\/3 + g**2\/2 + 25*g - 51. Find the first derivative of w(l) wrt l.\nAnswer: -10*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.228, -12\/6863, -5?\nAnswer: -12\/6863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 788*b - 709*b + 216 - 583 + 184 + 183.\nAnswer: 79*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -671, -671, -669, -665, -659, -651, -641?\n\"Answer: o**2 - 3*o - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.614*-948\nAnswer: -1530.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -42521.5 rounded to the nearest 100?\nAnswer: -42500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -607*l + 40*l - 5558 - 4089 = -4*n, -5*n = l - 4*n + 15 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 72*r**2 + 596*r - 20. What is the hundreds digit of o(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, 186, 682, 1582, 3006, 5074?\nAnswer: 7906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(6655)*2)\/(sqrt(30)\/(sqrt(6)*-2)).\nAnswer: -176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by -2024.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.8 - 5.8. Which is the closest to 0?  (a) o  (b) 0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 + 2)*(-1693*u + 356 - 170 - 186) to the form t*u + i and give t.\nAnswer: -10158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 135355 and 1929125?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w + 15. Let v be m(16). Let k(p) = p**3 - 5*p**2 - 6*p + 7. Let s be k(6). What is the highest common divisor of s and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -84527 to the nearest 1000.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/33))\/o**5*((o\/(o\/(o*o**(-1\/4)*o)))\/o)**(9\/5) assuming o is positive.\nAnswer: o**(-1789\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -13\/6*o**3 + 0 - 94*o - 5*o**2 + 11\/12*o**4 + 1\/20*o**5. Give f(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/184 and 47\/72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92\/(-6) + (-68)\/102 + (-187340)\/(-11730).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -1. Suppose 2*k = -v, -4*k + 0 = v - u. Let h be ((-12)\/8)\/(v\/4). Solve 2 = -5*w - h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s - 6. Let d be u(6). Suppose -5*y + 133 = -2*n, y - n - 26 = -0*n. Let k be ((-9)\/y)\/((-4)\/3). What is the nearest to 0.2 in d, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 348*w - 432. Determine v(1).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {o: 5, w: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 2164058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ia when two letters picked without replacement from tippffttat?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59 - 56. Suppose 4*y - 5 = v. Differentiate 1 - 5 + 1 - 3 - 18*s**y with respect to s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/2  (b) -5  (c) 1  (d) 5462  (e) 0.6  (f) 3\/7  (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -4 - 29) + -102 + 175.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/9, 0.01, -3\/4, 18, -7 in increasing order.\nAnswer: -7, -10\/9, -3\/4, 0.01, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*d**2 - 1151588736*d + 110513051406839808 = 0. What is d?\nAnswer: 191931456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 8 - 10. Suppose i*t - 4*t - 10 = 0. Suppose -m + 14 + 24 = t*v, 3*v = 5*m + 57. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 3*z - 1\/10*z**5 - 1\/2*z**3 + 0*z**2 + 0*z**4 + 0. What is the second derivative of c(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 768038, -4, 1.\nAnswer: -4, 1, 768038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 1401*n**3 + n**2 + 3*n - 3. Let r be k(1). Suppose r = 100*h - 98*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, q: 11, b: 4}. What is prob of sequence nb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1232206 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67664840.\nAnswer: 2, 5, 1691621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 48*c - 8. Let f be r(6). Suppose 0 = 5*o - 10*o + f. Let a = o - 32. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(11) + 0) + (sqrt(110)\/sqrt(40) - sqrt(11)))**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/1247, 152, 3\/8, 0, -0.1 in decreasing order.\nAnswer: 152, 3\/8, 0, -6\/1247, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7985 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 268721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 - 6*u**2 - u + 4. Let y(s) = -3*s**3 + 9*s**2 + s - 6. Suppose -5*z + 15 + 10 = 0. Let b(p) = z*y(p) + 7*x(p). What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -7\/6*g**3 + 0*g**5 - 13\/210*g**7 + 13*g**2 + 0 + 0*g + 0*g**6 + 0*g**4. What is the derivative of z(h) wrt h?\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 10. What is the second derivative of -2*k**2 - 5*k + 2*k**h + 0*k + 3*k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, b: 4, y: 1, h: 9, p: 3}. Give prob of sequence hby.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 22 = -r, 5*t - r = 4*r + 10. Let q be t - -1*2 - 0. Let f = -166 - -172. Calculate the greatest common divisor of f and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) 0.3  (c) 4  (d) -679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 33 = 2*f, -494500*f + 5*p = -494502*f - 37 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w + 12. Let u be o(9). Let p(q) = q + 6. Let g be p(u). Suppose -1 = -b, g = 5*r - 0*r + 2*b - 37. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1415 (base 12) to base 9.\nAnswer: -3158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3564) - sqrt(3564)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 1. Let m(b) = b**3 + 7*b**2 - 8*b - 1. Let f be m(-8). Let p(r) be the second derivative of -r**3\/3 + 2*r**2 - 5*r. Calculate f*p(u) + 4*z(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*k**4 + k**3 + 340851*k**2 - 211051623*k.\nAnswer: -120*k**2 + 6*k + 681702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + 1035\/46 + (4 - (-364)\/(-8))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 135985 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/1333*(-61189)\/(-2846)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/58762584 and 139\/121068?\nAnswer: 1116489096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 7142674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -420768 divided by 417.\nAnswer: -140256\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 52395, -2\/37, 15\/2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1770 - 1780. Let u be (-648)\/(-30) - h\/15*-9. Factor 0 + 24\/5*s - u*s**2 + 12*s**3.\nAnswer: 6*s*(2*s - 1)*(5*s - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {c: 3, b: 1, h: 1, a: 1, v: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/3 and 71\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (812\/1015*-1*(-1)\/(-2))\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**7\/105 + l**5\/6 - 13*l**2. What is the third derivative of c(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.67710781 rounded to two dps?\nAnswer: -14.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6720*i = -10248*i + 204624 for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-10)*-1 - 2. Let h = 1\/10 - r. Find the common denominator of h and -38\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/33 and -34\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*q**3 + 251*q**3 + 144*q**3 - 666*q**3 + 121*q**3 + 101*q**3.\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 26318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 3*o - 12, -2 = -2*o + 3*o. Let v(j) = 4 + j - 4*j**2 - 5*j + 3*j**2. What is v(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - -0.3. Let d be 28\/48 + -18 + (-966)\/(-56). What is the nearest to f in -2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 14*y - 17. Suppose 2*m + 5 = -11. Let r = m - -14. Let k(g) = 5*g - 6. Determine r*x(d) - 17*k(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + 17081\/248 + -40?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = a + 3*a. Let g = 14 - a. Suppose -4*f + 11 - 1 = 2*z, f + 4*z = -8. Solve 4*k - 4*l = g, 3*l - 13 = -f*k + 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2801\/7 + 401. Let w(q) = 2*q - 2. Let v be w(2). Which is the nearest to -0.1?  (a) 1  (b) t  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2972 + 7552. Suppose -v = 19*v - w. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/5)\/((-34)\/85). Suppose o*j - 19 - 8 = 0. Suppose -2*x - 5*a + 31 = 0, j = -3*x + 3*a + 3. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -122255 divided by 1068.\nAnswer: -122255\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/3, -72, -1?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-3*(sqrt(637)*-2 + 1 + sqrt(117)*2 + -2 + 3)**2 + 4.\nAnswer: -15044 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101462848 is divided by 101462822.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13405 + -4172. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 3820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -4*w**3 + 4*w**2 - 5*w - 5. Let n(s) = -2*s**3 + 2*s**2 - 2*s - 2. Let m(t) = -5*n(t) + 2*y(t). Factor m(c).\nAnswer: 2*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + 7\/(154\/(-264))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 5*a**4\/4 - 10*a**3\/3 - 15*a**2\/2 + 50. Factor j(v).\nAnswer: 5*v*(v - 3)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 v when four letters picked without replacement from eveeveveve?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, r: 6, m: 2}. What is prob of picking 2 m and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3) + 0)\/(18 + 465\/(-27))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6222764 is divided by 117.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -n**9\/336 + n**5\/8 + 4*n**3\/3 + 8. Let c(p) be the third derivative of u(p). What is the second derivative of c(t) wrt t?\nAnswer: -180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 10115*q - 3 + 8960*q)*(5 + 1 - 3).\nAnswer: -3465*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000231015659 to seven decimal places.\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - -8)*(-34)\/8. Let p = 50\/3 + b. Let c = -117 - -120. What is the fourth biggest value in p, 5, c, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 78*c + 2021. Let l be s(-26). What is the smallest value in -49, 0.2, 1\/2, l?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31278 (base 11) in base 4?\nAnswer: 23020031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5 = 0, -2*b + j + 3*j - 6 = 0. Let a(q) = b + 0*q + 2*q - q. What is the units digit of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -132210, -131091, -129972?\nAnswer: -128853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-132)*(-314)\/252. Let g = -28051\/420 - -334\/5. Let p = n + g. Which is the biggest value?  (a) -1  (b) p  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4083633 to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1043 (base 9) to base 2.\nAnswer: -1100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g - 1. Let h(v) = v - 2. Let n(j) = -h(j) + i(j). Let c(q) be the third derivative of q**5\/60 - 5*q**2. Calculate c(n(d)).\nAnswer: 4*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + (36 - (-12 + 26)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 8:51 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfccrrx. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3 + 7 = 0. Is (k + -3 - 0) + 10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2 + 2*j - 5. Let z be o(-4). Let q = z - 100. Let d = 428 + q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -441*g - 100556. What is m(-228)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8432*i = v + 8437*i - 0 - 4, -3*i = 7*v + 68 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9239, -18474, -27709, -36944, -46179, -55414?\nAnswer: -64649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -689 + 694. Solve -v*r = 3*u - 35, -r = -50*u + 45*u - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(847) - sqrt(847)) + sqrt(847))**2 + (0 + sqrt(7) - sqrt(7)) + sqrt(7) + -5.\nAnswer: sqrt(7) + 3383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m - 5*v + 85, 5 = -88*m + 89*m + 7*v for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1323469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -16, -124, -384, -862, -1624?\n\"Answer: -11*w**3 - 10*w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3.6756*-0.01\nAnswer: 0.036756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 20 = -2*z, -15034*z + 2*g = -15039*z + 26 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 divided by 496.\nAnswer: 27\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h**2 - 14*h + 10. Suppose 5*p = 3*b + 150, 5*b - 39 - 21 = -2*p. Let v be 120\/(p\/5)*(-2)\/5. Determine i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.9  (b) -2\/15  (c) 835  (d) 2\/5  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (8\/(-6))\/(2\/(-6)). Suppose -i + 3*i = y. Let o = -102.5 - -102. Which is the second biggest value?  (a) i  (b) o  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 251 * 0.248\nAnswer: 62.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6678.9 - 6365. Let s = r + -314. Which is the biggest value?  (a) -4  (b) s  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (18 + -9) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*(0 + sqrt(3)) + 2*sqrt(300)) + -3.\nAnswer: -3 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*u**5 + 21555*u**4 + 3967589*u wrt u.\nAnswer: -520*u**3 + 258660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 390464\/7?\nAnswer: 390464\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95\/2124 + -1\/59. Calculate the common denominator of 53\/294 and d.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 553 + -538. Suppose -36322 = v*s - 37*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -13*f - 130. Let w(s) = -17*s - 169. Let v(a) = -10*w(a) + 13*x(a). Let l(b) be the third derivative of 11*b**4\/24 - 2*b**2. What is l(v(n))?\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/1926624 and -25\/854?\nAnswer: 1926624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4*m - 16 = 0. Suppose k + m*o + 0*o = 19, 5*o = 2*k - 90. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -1, 642, 5, -3, -2\/15.\nAnswer: -3, -1, -2\/15, 3\/7, 5, 642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -556447?\nAnswer: -556444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1193, 2407, 3621?\n\"Answer: 1214*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**2 + 0*z**2 - 1467*z**3 - 692*z**3 - 2765*z**3.\nAnswer: -4924*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*i - 302 + 1002 = -113*i - 3248 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10001001100000 (base 2) to base 7\nAnswer: 34441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 2, -5, -38, 0, 7\/4 in decreasing order.\nAnswer: 2, 7\/4, 0, -5, -35, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 3*l + 2*l)*(-5 + 3 + 4) - 3*l - l + 3*l - 3*l - l + 2*l + 37034*l + 39018*l - 72828*l.\nAnswer: 3219*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2300 + -1323320?\nAnswer: -1321020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7730073?\nAnswer: 3, 13, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -15*r**4 - 8*r**3 + 28*r**2 - 8*r. Let o(v) = -37 - v**4 + 37. Let n(q) = d(q) - 3*o(q). Factor n(f).\nAnswer: -4*f*(f - 1)*(f + 2)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(192)*-1*4 + -4)*-3)**2.\nAnswer: -13824*sqrt(3) + 995472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 5:58 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*b + 0*b - b - 4 - 2*b + 4 + (-2*b + b + 2*b)*(0 - 2 + 0) - 2*b + 5*b - 6*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-5.348.\nAnswer: -0.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 133 + -90. Suppose -2*j = -0*u - 5*u - 22, 0 = j - 2*u - 11. What is the remainder when f is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100100100111111001110010 (base 2) to base 7\nAnswer: 144414110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7825 divide 317194200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (132\/(-18))\/(2\/(-3)). Suppose -3*n = -4*n + x. Calculate the smallest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 8 + 15 + (5 - 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - (-1 - (3 + -3) - (-43 + 43)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 656505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**2\/5 + 42*s\/5 - 144\/5 = 0?\nAnswer: -24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87*l**3*x**2 - 3*l**3*x - 43*l**3 + 28*l**2*x**2 - 2*l**2*x + x**2 - 10 wrt x?\nAnswer: 174*l**3 + 56*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -44 (base 8) to base 4\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 15, -0.0342, -249?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffxux. What is prob of sequence uxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -395918 times -5\nAnswer: 1979590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1607168 and 166367.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -587.458286 rounded to the nearest integer?\nAnswer: -587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -73 - (-148 - (-241 - -113))) + 16.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 825890.1316 + 0.0222\nAnswer: 825890.1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1557189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide -537*(-3 + (-40)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7 + 62\/(-8))*-4. Let 9*n + 42 + 39 - x*n**2 - 121 + 34 = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 889 and 386207.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6731?\nAnswer: 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v + 6. Let o be a(-2). Let r be (3 - o - -1)*21\/2. Solve -3*w + 8 = -4*q + r, 2*w + 2 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1533, -3060, -4585, -6108?\nAnswer: -7629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 6:14 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 524 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5*v + 2580 = 0, -2*v = 2*f - 3*f + 525. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8653 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108339 is divided by 427?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {z: 5, b: 4, v: 1, y: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 921 a factor of 249017273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - 1)\/(-6)*2. Let v be (1\/r)\/((-2)\/(-6)). Let h = -1 + v. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 10) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.66802 plus 1?\nAnswer: 0.33198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7611988 divided by -5338.\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.523131, 1.1, 0.2, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 9*q**2. Let l(t) be the second derivative of -35*t**3\/2 - 43*t - 7. Calculate v(l(w)).\nAnswer: 99225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -5, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -170689122*c**3 + 218652*c**2 + 54663*c - 54663. Let v(a) = 15613*a**3 - 20*a**2 - 5*a + 5. Give -5*l(q) - 54663*v(q).\nAnswer: -7809*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 27 = -4*c, 5*p + 2*c = -c + 45. Suppose -12 = a + 3*a. Let t = a - -5. Solve -t*s - l = p, 2*s + 13 = l + 2*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41 (base 12) to base 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 3. Let d be s(-3). Let u be 56\/(-6) - 2\/d. Round u to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -94*f*w**3 - 786172*f*z - 16101*w**3 - 1419*w**2*z with respect to f.\nAnswer: -94*w**3 - 786172*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g + 4*g**2 + 18*g**3 - 15*g**2 - g**4 + 6*g**2 - 13*g**3 + 756 + 6*g**2 to the form m + q*g**2 + i*g**4 + j*g + f*g**3 and give m.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -508610, 5 in increasing order.\nAnswer: -508610, -25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -636 divided by -4\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6774274 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 - 6 - 5)*(5*u + 6*u - 2*u + (-2 + 2 - 1)*(3*u - u - u)) in the form z*u + h and give z.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**4 + 0*b**4 + 4*b**4 + (7017 - 3003 - 3203)*(-2*b**4 + 0*b**4 + 0*b**4) + 0*b**3 + 0*b**3 - 4*b**4 + 6*b**4 - 2*b**4 - 3*b**4.\nAnswer: -1623*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -i, 4*n + 2*i = 3*n + 41. Suppose -2*x + n = -413. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -114822\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 6 = -72. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 - -69. Let a(c) = 3*c + c - 5*c. Calculate a(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -592618, -592617, -592616, -592615, -592614, -592613?\nAnswer: -592612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -218 - -220. Suppose 0*a + 4*a + 24 = 0. Let s = a + 2. What is the closest to o in 3\/2, s, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t. Suppose 5*q - 30 = -3*g, -3*q = -3*g + g + 1. Let v(l) = 5*l**2 - 5*l**2 + q*l**2 - 2*l**2. Calculate h(v(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o + 156. Let w(g) = g**3 - 7*g**2 - 11*g + 10. Let h be w(8). What is the tens digit of m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmmefeeewmjexex. What is prob of sequence je?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1455, 1613, 1875, 2241, 2711?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 0 + 0 + 7*o**2. Let g(t) = 0*t + 0 + 2 + 4 + 7*t. Let a(v) = -v - 1. Let m(n) = -6*a(n) - g(n). Calculate j(m(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225528788.\nAnswer: 2, 1427, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 114571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 - 1 + 1)*(-3*u + 0 + 0) + 49*u + 0*u - 23*u to the form x + t*u and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 5*u = -9, 0 = 2*h + 2*h + u - 11. Suppose -3*f - 16 = -h*f. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + 3 + (2 - 1 + 0)*(1 + 0 + 0))*(1 + 0 - 3)*(g + 2*g + 8*g).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**2 - 116*i + 1030. Calculate g(-46).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2264998 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 7:11 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21391 = 7*h + 1210. Is h\/(-2)*(-5 + 52\/12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-204585)\/(-759) + -269)\/(-1 + 5\/((-550)\/(-112)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 - 9*q + 15. Let z be n(-10). Solve z*c + 7 = -h, -4*c = -3*c + h + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of -i**6\/24 - i**4\/3 + 8*i**2. Find the second derivative of p(z) wrt z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/38)\/(394460\/408804)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 PM and 9:11 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h - 3*h + 3*h)*(-15 + 31 - 13*h - 15 + (-2 + 4 - 3)*(-2*h - h + 2*h)).\nAnswer: 12*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 304187287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4*j = -5521, j - 850 = -n + 992. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 32*i - 895. Let j be u(28). Let w = -292 + 3794\/13. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54\/44825 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 4*h - 13, 5*k - 7*k - 4*h + 2 = 0. Solve k*d - 5*c + 11 = 0, 11 = -5*d + 2*c - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/36)\/(96\/(-24))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of -k**5\/20 - k**4\/12 - k**3\/6 - 5*k. Let j be h(-2). Let o = -17 - -19. Solve j + o = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12368a + 7?\nAnswer: 123696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2436 + 903.7. Let m = -1396 - a. What is m rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 800 = -7*b + 2*b, -5 = -p. Let m = b + -114. Calculate the highest common divisor of m and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1833242, 1833244, 1833246, 1833248?\n\"Answer: 2*q + 1833240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4799, 1, -2\/7, -5.\nAnswer: -5, -2\/7, 1, 4799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -n + 5*d, 3*d - 4 = 3*n - 10. Let g = 0.2 + -0.4. Which is the closest to 0.1?  (a) g  (b) -5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 12:07 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/137  (b) -5  (c) -3  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (50\/5 + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/23 + 39\/161. Put 0.2, n, 5\/3, 1\/7 in increasing order.\nAnswer: 1\/7, 0.2, n, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 4:22 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1583 + 79631476?\nAnswer: 79629893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -266.3 * 0.5\nAnswer: -133.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109853607 + -128047.\nAnswer: -109981654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/4*588\/(-1225)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v + 7. What is the lowest common multiple of (-61)\/(549\/54) + ((-36)\/(-4) - -3) and r(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (14 + 5 - 8 - 3 + 3 + 1 + (-4 - 1 + 3)*(-3 + 1 + 1) - 2 + 2 + 2)*(-1 + 1 + s) in the form j + l*s and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -17. Let g = -3.29 + 0.39. Let z = 0.1 - g. What is the third biggest value in -4, 10, j, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/1 + (-23 - -18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -0.1, 5, -4\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*d**2 + 38*d**2 - 26*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 784960 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q. Let d = 4 + -5. Let p(s) = -10*s - 1. Let o be p(d). Let z(y) = -6*y + o*y - 6*y. Determine z(a(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (118 + -117)\/((-156)\/12)*(9 + -2)\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j + 2. Let n be 5\/2*(-4)\/(-5). Calculate the smallest common multiple of 12 and r(n).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-6 - -6 - (0 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645)*-2 + sqrt(180)\/(sqrt(16)\/sqrt(4)))\/((sqrt(9) - (sqrt(9) - (sqrt(693)\/sqrt(11) + sqrt(63))\/sqrt(7)))*4).\nAnswer: -17*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 0*u - 2*u)*(4*u**3 + 0*u**3 - 6*u**3) + 50*u**4 - 102*u**4 + 2 + 2*u**3 + 51*u**4.\nAnswer: 3*u**4 + 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/13, 230, -7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/(-30))\/(2\/12). Let b be (o + -5)*1*31. Let m = b - -196. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 + 12. Let d be -4*-2*(q - 1). Let s = d - -10. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -175239258, -350478517, -525717776, -700957035, -876196294?\n\"Answer: -175239259*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 7805 = 977. Let z = 2512 - f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -3*d**4\/5 - 28932*d**3\/5 - 68969514*d**2\/5 + 3787864236*d\/5 - 51422495787\/5 = 0.\nAnswer: -4849, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 PM and 8:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 11*r + 5. Let b(n) = 27*n + 12. Let u(h) = 5*b(h) - 12*c(h). Let m(i) = -40*i**2 + 48*i**2 - 15*i**2. What is u(m(w))?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = 15*i - 40*i + 42 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (28\/(-8))\/((-2)\/(-4)). Let r = 21 + b. What is the lowest common multiple of r and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 18616\/7 + (208\/(-28) - -7). Suppose 28*u - 7113 = d. List the prime factors of u.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181218 is divided by 820.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2. Let g(i) = -48782*i**2. What is g(k(u))?\nAnswer: -48782*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -17 + 4 + 6 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - (-15)\/(-5)) + -5. Which is greater: -18\/7 or a?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -1\/187?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17170079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -5, -1 in descending order.\nAnswer: 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 29342 - -23?\nAnswer: 29365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4459 is divided by 4416.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 131 - 7c?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 38047387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*y, -10*l + 2*y - 23 = -9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1*sqrt(78) - sqrt(78)))\/(sqrt(96)*-1 + sqrt(6)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20876851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 29*w**2 + 28185*w + 543. Give c(-183).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2\/187, 8\/3, 0, -3, -1\/21 in descending order.\nAnswer: 8\/3, 2, 2\/187, 0, -1\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/11 - 2\/11*z**3 + 0*z + 6\/11*z**2.\nAnswer: -2*(z - 2)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r - 6. Let c be p(4). Let q be (-5)\/20*(-8)\/c. Let y be 28 + 0*q\/4. Solve -5*k = -3 + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452 = 4*x - 4*w - 572, -7*x + 4*w + 68 = -5*x for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17252 + 24568. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 + 3. Let i be 10\/(-4)*8\/y. Calculate the lowest common multiple of 12 and (6\/i)\/(6\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 - 5*k - 9. Let v be p(7). Let l(q) = -6*q - 5. Let z be l(v). Let m = z + 52. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + y = j - 6, -3*y - 14 = -j. Suppose -4*m = -j*m - 52. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 21*c**2 - 3*c + 10. Let x be u(3). Let l be (2\/615)\/((-19)\/x). Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/28 - (117\/12 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15.60672 + 15.64. Round s to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36732463*b**2*t**2 + 204*b**2*t - 35*b**2 + 76*b*t wrt t.\nAnswer: 73464926*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 239 = 12*w - 42*w - 31 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -711*-0.2\nAnswer: 142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/9 + 848*d\/3 + 108064\/9.\nAnswer: 2*(d + 44)*(d + 1228)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 3*y - 16, 7*y - 11*y + 4 = 3*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/3)\/(5\/45) - 1. Solve 4*r = 3*d - 31, -c*r - 13 = -0*d - d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 545316 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46046*h**3 + h**2 + 2*h**4 - 3*h**4 - 46387*h**3)*(0 + 2 + 1)*(4*h - 4*h + 8*h).\nAnswer: -24*h**5 - 8184*h**4 + 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -10. Suppose -46 = -5*k + m*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 665 - 734. Let w = -216 - -147. Is i less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/6*(3197\/69 - 31).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 + g + 60. Let b(f) = -2*f**2 + 3*f + 182. Give 3*b(o) - 8*z(o).\nAnswer: 2*o**2 + o + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y**4 - 2*y**4 + 7*y**4 + (0*y - 2*y + 0*y)*(-y**3 + y**3 + 2*y**3)*(-4 + 0 + 0) as s*y**3 + h + v*y**4 + z*y + i*y**2 and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 - 1 + 1)*(-q - q + 0*q) - 1 - 3*q**4 - 978*q**2 + 978*q**2.\nAnswer: -7*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 473*j**2 + 13877*j - 13875*j - 131*j**2 + 3 to the form q + k*j**2 + d*j and give k.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 3*s + 48. Let d = 22 + s. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1241690573.\nAnswer: 347, 3578359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 51?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*b = 201, -2*i - 3*i - 5*b + 945 = 0. Suppose 0 = -4*f + 2*f + i. Suppose -f = -p - 3*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 232.7 - -11?\nAnswer: 243.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -5*z. Let v(d) = 15*d. Let b(u) = 10*k(u) + 3*v(u). Let w(x) be the first derivative of -2*x**3\/3 + 6. Give w(b(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 51, 90, 147, 228, 339, 486, 675?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f - 14. Suppose 17 = 2*c + 3. Let q be v(c). Find the common denominator of 98\/6 - 14\/q and -63\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 130877.45799967 - 130876.888. Let k = 0.57 - h. What is k rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeeeeeqee. What is prob of sequence qe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 2879928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14 and 183006?\nAnswer: 1281042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 524611 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10*(-10)\/(-3))\/(4\/46680). What is g rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 370.942 + -147.79. Let z = h - 222. Round z to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 1  (b) -0.07  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39609962338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {m: 4, g: 1, t: 5, c: 7, f: 1, p: 1}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4806*v**3 - 826*v**3 - 2*v**2 + 10299*v**3 + 5*v**2.\nAnswer: 14279*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-18))\/(780\/(-14040)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/6*800\/15160. Is d at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 + 125*t**3 + 0*t**2 - t**2 + 760*t**3.\nAnswer: 885*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4088*x + 3070. Let p(k) = -16431*k - 12281. Let i(b) = -2*p(b) - 9*w(b). What is the first derivative of i(m) wrt m?\nAnswer: -3930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*p + 4*g, 8*g - 1 = -3*p + 3*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**3\/9 - 179456*b**2\/9 - 4026095306*b\/9 - 8050037284\/3 = 0.\nAnswer: -44861, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -103b + -14?\nAnswer: -104f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 264*l = 261*l - 26, -l = 4 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 5. Let m = w + 3. Suppose t - 5 = -5*p, -4*p + 36 = 3*t - 12. What is the greatest common divisor of t and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/2*36\/54. Let i = -14\/261 + 8\/29. Which is the closest to t?  (a) i  (b) -0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -984, -2120, -3428, -4914, -6584?\n\"Answer: -x**3 - 80*x**2 - 889*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - 114\/5)\/((1323\/(-210))\/21). Suppose 2*m + 3 + 3 = 0. Let y be j\/12 + 1\/m. What is the highest common divisor of y and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3564 and 78813.\nAnswer: 3467772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5568 divided by -4\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 67.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48, 43, 28, -3, -56, -137?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**3 + 10*c**2 - 26*c + 14 = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-18075)\/(-500) + 51 + -87\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 946263, 1892531, 2838795, 3785055, 4731311, 5677563, 6623811?\nAnswer: 7570055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 3840.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 89561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 10*s + 19. Suppose -2*f - o = 21, -f + 0*o - o = 10. Let z be q(f). Let d = 53 - -51. What is the highest common factor of z and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10638 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q. Let s(o) = -6*o + 4. Determine s(p(z)).\nAnswer: -24*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*b + 2*b - 7*b to s*b + u and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - (0 + 0)) + (10896 - 10870)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 392 = h + 5*z, -h - 2*z = -127. Suppose -7*c - h = -b - 10*c, 5*b + 2*c - 671 = 0. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**2 - 960*m**5 + m**4 + 16*m + 1745*m**5 - 901*m**5 wrt m?\nAnswer: -6960*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*p**4\/4 + 29613*p**3 - 8274789*p**2\/2 - 5130189*p - 3852765\/4 = 0.\nAnswer: -3171, -1, -3\/13, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5221?\nAnswer: 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.22179, -1\/5, 0.5?\nAnswer: 0.22179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.8 - -0.9. Let z = 0.16 - 8.16. Let x = -7 - z. Which is the nearest to x?  (a) 1\/2  (b) 4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1*(-227)\/210 + (-32)\/(-96) and -51\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*i**4 + 577*i**3 + 7940*i**2 + 9173*i + 1806 = 0. Calculate i.\nAnswer: -129, -14, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 270775551 and 2429?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*s + 3*q - 48, 50*s + q = 100*s - 52*s + 13 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 316056012 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4767*n**3 - 477*n**3 + 3 + 3297*n**3 - 3.\nAnswer: 7587*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-3))\/(5\/60). Suppose 0 = -3*z - 4*u + 6*u + 1871, -j*u + 605 = z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + 15*q**2 - 8*q - 5. Let w be (-9)\/(-6)*6\/3. Let v be 60\/(-16)*3*4\/w. List the prime factors of h(v).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 - (-55 + -21 + 77 + 6 + -1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 296852 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i. Let j be s(-4). Let p(r) = 4*r**2 - 7. Let c(n) = 3*n**2 - 6. Give j*p(o) + 5*c(o).\nAnswer: -o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of -36*(60\/10 - 12) and 288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.076  (b) 0.3  (c) 1\/8  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -6*u + 2*i + 59, -5*i = 4*u - 71. Suppose -6*q + u + 11 = 0. Solve 3*h - 10 = -5*x, -q*h - 2*x = 2*x - 21 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84 + -102 + -2 + 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 114 + -74. Let v be (-7)\/(84\/g)*-3. Let w = v - -1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 400ac8 (base 13) to base 9.\nAnswer: 2715731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 156570 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2185 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j. Let i(q) = -1 - 2*q + 64 - 22 - 23. Give i(d(c)).\nAnswer: -4*c + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12191?\nAnswer: 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f + 15*x + 78, -5*f = -x - 26 + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*q - 29 = 0, -3 = h + q + 2. Let k be h\/7 - 13*-1. Let u(v) = 3*v - 4*v - 1 - k + 10. Give u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*x - 4 = 0. Suppose -3*y + 2*y + 4 = 0. Let b = -0.1 + -0.2. What is the nearest to 0.1 in b, x, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sjf when three letters picked without replacement from lfjllfjflsllfljln.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1711227 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, h: 6, m: 2}. What is prob of picking 1 m and 2 h?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -48 - -67. Suppose m - 81 + r = 0. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**3 - 3*b**2 - 3*b - 1. Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -19*p**3 - 70*p**2 - 289*p + 3. What is the remainder when o(-4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 16*s - 5*s. Does 14 divide 53 + (1 + 1 - s)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -312*o**3 + 145*o**3 + 114*o**3 + (-4*o + 4*o + 2*o**3)*(3 + 0 - 5).\nAnswer: -57*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.055 times 2.642?\nAnswer: -0.14531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35408495 by -95.\nAnswer: -372721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 12018, 12026, 12040, 12060, 12086?\n\"Answer: 3*q**2 - q + 12016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + z + z)*(-57 + 33 - 34)*(2 - 2 - z**3).\nAnswer: 58*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338037 - 134238 = 7820*n + 278445 for n.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**3 + 0*d**3 + d**4 + (2*d + 4*d - 4*d)*(3*d**3 - 2*d**3 + d**3) + d**4 + 0*d**3 + 0*d**3 - 7*d**4 - 12*d + 12*d + 0*d**4 - 3*d**4 + d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 20*a + 131. Give t(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + n - 2. Let b(k) = 381*k**2 - 5*k + 10. Let a(x) = b(x) - 2*y(x). Let v be a(-9). What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -15*s**2 + 2. Let f(z) = z**2. Determine -a(c) + 2*f(c).\nAnswer: 17*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of 1\/78*v**4 + 4\/13*v**2 + 4\/39*v**3 - 7 - 5*v. Let j(n) be the first derivative of s(n). Find w, given that j(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -48552.4247 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 13, -9, -1 in increasing order.\nAnswer: -9, -5, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -29261833?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 17*g + 3. Let h(q) = -3*q. Calculate h(o(c)).\nAnswer: -51*c - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-6 + 11) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - 5*i + 6. Suppose 3*k + 38 + 65 = 4*r, r + k - 24 = 0. Suppose 3*s = -2*s + r. What is the remainder when 16 is divided by o(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1319933572.\nAnswer: 2, 19, 3433, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/6 + (-9)\/(-2). Let p be 1\/((-9)\/(-5) + -2). Let v(u) = u**2 + 5*u - 1. Let n be v(p). Sort 4, n, c in descending order.\nAnswer: c, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*b + 15, 7*f - b - 25 = 2*f. Let g = f - 1. Find the second derivative of 61*a + 60*a - 133*a + 25*a**g wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23347 is divided by 477?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (6*(sqrt(119) + 5*sqrt(119)))\/(2*sqrt(21)\/sqrt(3)).\nAnswer: 5 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 33028 times -0.5\nAnswer: -16514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -16  (c) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1923 + 1712 - 5697 - l + 1344 - 3571 to the form n*l + g and give g.\nAnswer: -8135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.58 - -12.5. Let c = o + 8.74. Round c to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -150 - -210. Suppose 5*b + 278 = -4*u + u, -b - c = 5*u. Let a = 55 + b. Solve a*m - 5*m = -25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1850904836.\nAnswer: 2, 11, 19, 2214001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 43, 1, 3, 11, -15, -5 in ascending order.\nAnswer: -15, -5, -1, 1, 3, 11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d + 40 = 8*d. Let z be (-28)\/d + 1\/2. Which is the closest to -2?  (a) 1\/10  (b) z  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1995, -3991, -5987, -7983?\n\"Answer: -1996*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + -3)*1 - 1. Let c(y) = -5*y**3 - 6*y**2 - 6*y + 4. Is c(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1051973, 4207924, 9467851, 16831754?\n\"Answer: 1051988*u**2 - 13*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -241 - -244. Find the second derivative of 2*f**4 + 2 + 17*f - 9*f - 5*f - 2*f**2 - q wrt f.\nAnswer: 24*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -19*s - 2141. What is i(-113)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 - 104*k - 690. What is x(-8)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 0*a + 0*a + a. Let w(y) = -y + 9. Let b(h) = 2*h - 21. Let m(i) = 3*b(i) + 7*w(i). Calculate f(m(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-9)*(-21)\/(-14))\/(22\/12).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 63.2  (b) 41  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.989283 decades to years.\nAnswer: 9.89283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*q**2 + 13*q**2 + 2*q**2)*((6*q - 6*q - 4*q**2)*(3 - 5 + 3) - q**2 - 2*q**2 - q**2) to the form b*q**3 + r*q**2 + a*q + v*q**4 + h and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 57729 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 20*g - 9. Let v be k(-21). Suppose 10*y - v = 8. Solve 0 = y*i - 6*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28*j**3*t + 107*j**3 - 4*j**2*q*t + 2*j*q*t - 4*q with respect to t.\nAnswer: 28*j**3 - 4*j**2*q + 2*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -70787\/450 + 4134\/25. Which is bigger: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -373 + 373 + 27*y**4 + (0*y**3 - 2*y**3 + 0*y**3)*(-3*y + 2*y + 3*y) + y**4 + y**4 - y**4 as n*y**3 + l*y + r*y**4 + x*y**2 + a and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7146691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 PM and 2:49 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 632466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 + 22 - 6 + 18*d - 5 as t*d + y and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4256 and 83657.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 6*h**2 + 6*h - 10. Let u be b(-7). Let v be (3 + 17)\/(u\/(-12)). Suppose t + 4*o = o + 98, -3*o - v = -t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*l - 196*l = -230*l + 4784 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -774 (base 11) to base 8\nAnswer: -1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-34)\/22)\/17?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 15*z**2 + 13. Let p be j(15). Suppose 5 + 13 = 9*x. Suppose 0 = 5*g + 4*f - 21, 5*g - 30 = 3*f + x*f. Solve -g*i + 12 = -p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1261 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -106*x**2 - 5*x - 9*x + 8*x + 107*x**2 - 5 - 5. Determine c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-4 - (-4 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 12 - 32 = 0, 2*c + a = -6. Let i be -1 - (c + 4 + -3). Solve 5*l + 35 = -0*l - i*b, b = -5*l - 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 10:33 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 116558 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 0 + 0)*(-2 + 2 - 2)*(-3*w + 0*w + w) + (-5 + 4 + 3)*(3*w - 2*w - 2*w) + 2*w + 2*w - 3*w - 3*w + w + w)*(-81 + 112 + 2*w - 52).\nAnswer: 20*w**2 - 210*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2754 and 1666?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.006 - 5.993931. What is j rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of g**5\/12 + 5*g**3\/3 + 2*g**2 - 8*g. Let f(u) be the first derivative of b(u). What is the first derivative of f(r) wrt r?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4339 a factor of 198485674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2\/215, 3, 5, -0.4?\nAnswer: 2\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0)**(2\/53))**14 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 409811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0042 - 0.2958. Let n = 18 - -2. Which is the nearest to g?  (a) n  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3350 (base 7) to base 6.\nAnswer: 5335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 + 15. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 3, g: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 10 = 5*c, -3*x = 1 + 2. Let d be (1 - -1) + (c - -22). Suppose d = 4*l + 7. Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/50 + 56\/10. Let u(y) = 4*y - y + z*y - y. Let t(x) = x. What is t(u(j))?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*i - 114 = 0. Let f = -53 - i. Let d be (3 - -2 - (f + 0))*30. Solve k - 12 = 5*w, 3*w - 8*w - 5*k - d = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81082 is divided by 162.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -3*j - 3. Let a be m(-3). Suppose 3*t - 3*d + 60 = a*t, 4 = -4*d. Let v = 37 - t. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 6 = -2*w + 6, 4*w - 16 = 0. Suppose -c = -4 + 9. What is the smallest value in 4, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/18  (b) -0.2  (c) 2\/7  (d) -0.061\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 3*t + 115 - 3*t**3 - 111 - 2*t**2 + 7*t**3. Let l be x(-1). Put -0.08, -2\/13, l, 0.4 in descending order.\nAnswer: 0.4, -0.08, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1198430539 take away -8.42?\nAnswer: -1198430530.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -104, -230, -406, -632, -908?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 14*l**2 - 93*l + 122. Is a(-75) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 11:04 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 388, -209, -818, -1445, -2096?\n\"Answer: -l**3 - 590*l + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 12) to base 3.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 188 and 1799066.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24254, 29995, 35736, 41477, 47218?\nAnswer: 52959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a - 12. Let s = -119 + 129. Let m be s\/(-2)*(43 - 42). Give f(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0159 + 0.4159. Let n = 6 - 6. Let p = 37\/4 + -9. What is the second biggest value in n, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -19) + -12 + (11 - 25).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - -22) + -6 + 2. Let q = -6 + t. Solve j = 4*j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -p**8\/4200 - p**7\/525 - p**6\/225 + 4*p**3 + 4*p - 1. Let l(f) be the second derivative of u(f). Factor l(g).\nAnswer: -2*g**2*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7319.\nAnswer: 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.3052 and 0.066.\nAnswer: 0.1521432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/506832 and 41\/288.\nAnswer: 3040992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.33829 centimeters to micrometers.\nAnswer: 773382.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c + 1. Let i(n) = -n**3 - 7*n - 2. Suppose -l + 3*s = -6 + 4, s = -2*l + 11. Suppose -3*r = -l*f + 8, 4*f - 2*r = 6 + 2. Determine f*m(a) + i(a).\nAnswer: -a**3 - 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mllm when four letters picked without replacement from mlml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t. Let l be u(0). Let o(v) = 0 + v + l. Let p(m) = -m**2 - m. Let i(q) = -q. Let s(j) = -i(j) + p(j). Calculate o(s(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6515?\nAnswer: 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tzbbbbbbztnbye. What is prob of picking 4 b?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of 175*t**2\/2 + t + 80. Does 16 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5370.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -3.5. Let z = u - -1. Is z greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 1 - 1)*(-4 + 2*k + 4) - 1579 - 43*k**2 + 1579.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9151 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-65))\/(((-3)\/(-15))\/(73\/(-6789)*31)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3982252 is divided by 424?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/6 and -31\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000183912 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 h when four letters picked without replacement from oohohhqxoooooqqqooo.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 10:39 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y**5\/7 + 404*y**4\/7 + 1206*y**3\/7 + 172*y**2 + 401*y\/7 = 0. Calculate y.\nAnswer: -401, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2. Let s = 45 - 11. Suppose 5*h - 3*h - s = 4*t, -2*t + 2 = 0. Let m(p) = 4*p + 4*p - 8*p - h*p**2. Calculate d(m(c)).\nAnswer: 722*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1689 - -1694. Solve -3*s - 14 = r*q + 2, -5*s + 5*q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*d - 11335 + 17538 = 180884. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -44460 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -101696947 divided by -103?\nAnswer: 987349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 PM and 8:00 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 204870727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0138 + -0.0137994754. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*x**5\/3 - 220112*x**4\/3 - 605351972*x**3\/3 + 1453716488*x**2\/3 - 1090496512*x\/3 + 242352128\/3 = 0. What is x?\nAnswer: -5504, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 63521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 5*g - 242, -r - g = 3 - 89. Calculate the highest common divisor of r and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 + 4*i**3 - 3*i**3 + 4 + i**3 - 4 + (1 - 1 - i**2)*(-5*i + 5*i - 2*i))*(-i**2 - 4*i**2 + 4*i**2).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 7*x**2 + 4*x**2 + 3 + 3*x**2. Let d be m(0). Solve 3*r - 3 = -2*r + n, d*n = r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 449685.2 microseconds to nanoseconds.\nAnswer: 449685200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1325 and 800.\nAnswer: 42400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 271 - -117. Suppose 23*b - 30*b + 21 = 0. Suppose 0 = -b*u - 4*g + 404, 4*u - d = u + 4*g. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -6.004. Let v = -0.02 + j. Let g = -0.586 + v. Round g to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3195 + -1740. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17538 divided by -3.\nAnswer: -5846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 25 = -10. Does 24 divide -22*c*(-16)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1134459\/71 - 15978. Let l = -1871\/2485 + n. What is the common denominator of l and 51\/98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99755.65ml to litres.\nAnswer: 99.75565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 158630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -8*t**3 - 13*t**2 - 58*t + 29. Does 31 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 9) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9032427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -49 + 54 + 1 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 342 (base 6) to base 12\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2319 and 300697.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144878648?\nAnswer: 2, 19, 953149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 21874175431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 304\/(-72) - (-4)\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1060506?\nAnswer: 2, 3, 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1259 + -703. Suppose -12*y + 8 = -p. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -2*z + 66, 0 = -9*z + 4*z - v + 142. Suppose -3*p - 5 + 19 = k, -5*p = 4*k - z. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2. Let s(a) be the second derivative of -a**6\/360 - a**3\/3 + 2*a. Let l(t) be the second derivative of s(t). Give j(l(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-15)\/(-9))\/(3\/9). Suppose -55 = -5*d + v. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/30)\/((-48)\/9)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.905206 kilograms in grams?\nAnswer: 7905.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = y. Suppose -r + y*x + 2*x = 3, -3 = -r - 4*x. Let i be 3 + -2*r\/(-2). Solve 4*h - 4 = i*d - 5*d, 4*h - 2*d + 16 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*p - 5*p + 7*p as m*p + c and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23328 and 2025.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of 1317*i**5\/20 + 2488*i**2. Let u(p) = p**2. Determine q(u(w)).\nAnswer: 3951*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5209332 divided by -6.\nAnswer: 868222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.024  (b) -3  (c) 21  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 10*n + 1890 = -v, 5*n - 2357 = 4*v. Calculate the highest common divisor of 143 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/2)\/((-22)\/((-29920)\/170))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 532 and 112?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 4*c = -4*j + 52524, -5*j - 2*c + 65643 = 0. Let d = 3462 - -2965. Let f = j - d. What is f rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/3 + 1)*3. Let l be -1 + (-9 + 9 - -11). Solve -c*s + 3*n = -12, -n - 4*n - l = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-515)\/(-478))*5. Let h = -170493\/36050 + r. Calculate the common denominator of -3\/14 and h.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 941465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 189 = 3*j - 261, 3*j - 490 = 5*x. Let o = -152 + j. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 233*y + 0*y**4 + 0*y**2 - 155\/3*y**3 + 0*y**6 - 59\/14*y**7 + 0*y**5 + 0. What is the second derivative of c(u) wrt u?\nAnswer: -3540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 8 + 4 = 0, 2*o + 5*l - 31333 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + -14*2\/20. Suppose 2*n - 30 = 58. Let p = n + -44. Which is the nearest to p?  (a) 5  (b) -2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 1:15 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16671589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2907 (base 16) to base 9\nAnswer: -15360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -9*d**2 + 5*d + 4. Let z(k) = 5*k**2 + 2*k. Let m(l) = -y(l) - 2*z(l). Let x(r) = 2*r + 6. Let s be x(-6). Calculate m(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 322\/168*-2 + -2 - (-4)\/(36\/(-15)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (0 - -4) - 0) + (5 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wgw when three letters picked without replacement from {y: 3, w: 4, g: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 18*p**2 + 83*p - 48 - 83*p + 37.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/18)\/(2\/3). Let k = 69 - 64. What is the third biggest value in k, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-2)\/(-18))\/((-56)\/(-252))*122 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 197*i**3 - 684*i**3 - 185*i**3.\nAnswer: -672*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/11 - 34*p**2\/11 - 92*p\/11 + 336\/11.\nAnswer: -2*(p - 2)*(p + 7)*(p + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hehehxe. Give prob of sequence eheh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 33685.14 centuries?\nAnswer: 336851.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 6:21 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 2*l - 24 - 43)*(5 - 2 - 4)*(5*l - 4*l + 0*l).\nAnswer: 2*l**2 + 80*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13372 + 1708 + 20*p + 412*p - 4*p**2.\nAnswer: -4*(p - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*6\/15*4145\/(-10777).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1246*m + 602*m - 624 = -618*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -40 - 150. Find the common denominator of b\/(-4)*3\/25 and -29\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 121 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3\/356 + 4079\/1780. Find the common denominator of l and ((-4)\/(-2))\/((-36)\/141).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x + 6. Give k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31323 (base 4) in base 12?\nAnswer: -623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -15451?\nAnswer: -15451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.5 + -3.5. Let i = 0.12 + -0.1. Suppose -h - 4 = -6. What is the second biggest value in n, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 0.07, 0.2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 1064 = -1078 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + 11*u - 11. Suppose -31 = 4*i + 2*q - 205, 3*i + 4*q = 123. Let t be ((-36)\/(-10))\/(-8 + 378\/i). Determine c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 1992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 167, 204, 309, 518, 867?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2378844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 18\/5  (b) -1723  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3580410?\nAnswer: 2, 3, 5, 23, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2691, 130 in increasing order.\nAnswer: -5, 130, 2691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/2)\/((-6)\/16). Let b be (-78)\/i*(-8)\/12. Suppose -8 = -q - 4*x, -4*q = x - 34 - b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -924 = -14*m - 85*m - 55*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of -z**4\/18 - 41*z**3\/9 + 266*z. What is r in m(r) = 0?\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 43.23186 kilometers?\nAnswer: 43231.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 612657119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(882))\/((sqrt(6) - (sqrt(6) - 4*sqrt(96))) + sqrt(6)).\nAnswer: 7*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1*z*z*z*z*z)**(1\/77)*z**(-2\/21)*z**(-18) assuming z is positive.\nAnswer: z**(-4162\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, h: 2, k: 2, q: 7, m: 2, f: 2}. What is prob of picking 1 h, 2 m, and 1 b?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 7. Let n = 3 - l. Suppose 2 - 46 = -n*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 34 = 1. Let v(x) be the third derivative of 0 - 1\/30*x**d - 1\/2*x**3 + 6*x**2 + 0*x + 0*x**4. Differentiate v(a) with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -64.217 and 4.054313.\nAnswer: -60.162687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12339*l**4*z**2 - 169030*l*z**2 wrt l?\nAnswer: 148068*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1203\/4 or -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 13034*h. Let c(b) = 404*b**2. Give s(c(x)).\nAnswer: 5265736*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 112 + -24. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/((sqrt(64) + sqrt(64)*1)\/sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 5  (b) 0.2  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 152 = 6*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v = -27*v - 90 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -3, -11 in descending order.\nAnswer: 2, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 106098249461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-4)\/38 - 59385\/(-95)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.584986094 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-42) + (-380)\/(-72) + -5.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6669 and 728?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/3 + 7\/3. Let a(k) = p*k - 1 + 0 + 5. What is the least common multiple of a(4) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 12:51 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 287 + -291. What is the smallest value in b, 5, 1\/9, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -144.061 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(11025\/54)*2380\/(-680)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the first derivative of -21*n**2 - n - 31. Does 15 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1056*m + 13778 + 63310 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 420507751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 74 = -z - 2*z, 3*z - r = 89. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssohhsohhss. Give prob of sequence os.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8*x - 20 = 0. Suppose t = 5*t. Let d(j) = j + t + 1 + 0. Calculate d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -21  (b) 2  (c) 4\/5  (d) 0  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40) + sqrt(3240) + sqrt(3240)*2 + sqrt(3240) + sqrt(40))\/sqrt(8)*3.\nAnswer: 114*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + 0)\/(-3 - (-1998)\/(-504) - -7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11626 (base 8) to base 11.\nAnswer: -3849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/2*(-12)\/(-6). Suppose z + z - 54 = v*j, z - 21 = j. Let t(x) = x**2 - 2*x - 6. What is the remainder when z is divided by t(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2. Let d(m) = -2*m + 1. What is b(d(x))?\nAnswer: 4*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - 12 - (-3 + 1) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 57867443 to the power of 1\/2, to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of 0*w**4 - 1\/6*w**3 + 0 + 0*w**2 + 0*w**5 - 2\/15*w**6 + 2*w. Find the second derivative of c(q) wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 3\/7  (b) 0.5  (c) -12.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 4*i - 44, -2*o - 2*o = -5*i + 27. Let g be ((-123)\/(8\/o))\/3. Which is the nearest to -1?  (a) g  (b) 0.2  (c) -0.1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*o + 18*o = -m + 4, 0 = 2*m - 5*o - 8. Solve 0 = 2*i - m*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5 - -1) + (-1)\/(14337\/(-513) - -28)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does -40 = -559\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: d (base 16) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/5 in 306, -3\/7, 11, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-15))\/(106\/(-530)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5398157191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -2*v - k + 2133, 1065 = -v + 2*k. Let h = 2005 + v. Suppose -h = -4*p - 38. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 659160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7077 - -7073. What is the nearest to -1 in f, -5, -14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/2282 and -15\/16.\nAnswer: 18256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20?  (a) 0.2  (b) -2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9435 = 602415*h - 301211*h - 301459*h for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (14066 + 32\/(-8))*((-12)\/(-8) - 1).\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 126271003 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59274 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*f - 6*f + 4*f - 15*f + 8*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7.2366 and -0.309666?\nAnswer: 7.546266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -613, 4, 14, 0.4, 2\/15 in decreasing order.\nAnswer: 14, 4, 0.4, 2\/15, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of q**5\/20 - q**2\/2 + 78*q + 2. Let r(a) = a + 3. Calculate -r(l) - 2*y(l).\nAnswer: -2*l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 118.7 times 81.1\nAnswer: 9626.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l - 15 + 15 - 7*l to the form p*l + c and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d = -d - 311 + 201 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6978439 or -6978444?\nAnswer: -6978439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.2812385 years?\nAnswer: 3.374862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29818, 59680, 89532, 119368, 149182, 178968, 208720?\nAnswer: 238432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 512645708 to the nearest integer?\nAnswer: 22642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*b - 6 - 19, 0 = 5*b + 5*l - 35. Solve s - 4*r = -4*s + 4, b*r = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2 + 14944441*r - 14944440 = 0.\nAnswer: 1, 14944440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-7618)\/3380 + 6\/39 and 42\/37?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/24 in 1, 10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 9:47 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1295 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -19, -1, 28.\nAnswer: -19, -4, -1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 4*u**4 + 16*u**3 - 108*u**2 - 280*u + 800 = 0.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 4*m = -104, -3*m = -3*d + 76 + 8. Solve -5*q - d = 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2027.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -1781.\nAnswer: 4\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/3)\/(a\/(a\/(a**3*a*a))))\/((a\/(a\/(a\/((a*((a*a**(-1\/2))\/a)\/a)\/a))))\/a**0) assuming a is positive.\nAnswer: a**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -19*c - 4. Let f(w) = -20*w - 5. Suppose -19*g + 110 = 15. Determine g*p(q) - 4*f(q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(242)*-1*-6)**2.\nAnswer: -528*sqrt(2) + 8728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/6*4\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence txxx when four letters picked without replacement from xttttxttttttttxttttt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(448) + 1 + -4 - -1*sqrt(448)*1)*-4 + 3)**2.\nAnswer: -2432*sqrt(7) + 29033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.7970354 centimeters?\nAnswer: 7.970354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-9)\/(-15)*(2\/(-7) - -1). What is the second smallest value in 1, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.23 + 1.93. Let b = r - 2. Let f = -448.7 - -449. Sort -1, b, f.\nAnswer: -1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2\/15, -0.08, 2\/7 in increasing order.\nAnswer: -0.08, 2\/15, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 92, 302, 710, 1382?\nAnswer: 2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -4*c**3\/5 - 89556*c**2\/5 - 1878824*c\/5 + 1968384\/5 = 0.\nAnswer: -22368, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/(72 + -6)*-18)\/(2 + 5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (5 + (-3 - 1)) - (-15 + 33).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -0.62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -29*j - 200. Let i be q(-7). Let b(t) = 13*t + 2. Let r(z) = -12*z - 2. Determine i*r(w) + 2*b(w).\nAnswer: -10*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2*(-66)\/(-4)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 98 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmxyexxx. What is prob of sequence xem?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - w + 54. Let d be s(0). Suppose -d = -3*p + 33. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -617, -2519, -5697, -10157, -15905, -22947, -31289?\nAnswer: -40937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -s**5\/150 - 79*s**4\/60 - 26*s**3\/5 + 361*s**2. Let y(q) = 0. Calculate q.\nAnswer: -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.375 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = q + 18. What is the smallest common multiple of q and 184 - (1 - (17 + -6))?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/7 and 71\/766?\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 - -85. Suppose g = 4 + 1, x = -m + g + 271. What are the prime factors of m?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 34*y**2 + 5*y - 26. What is the thousands digit of l(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -28817 or -28818?\nAnswer: -28817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -d + 8. Let h be 49 - (4 + -2 + -1). Suppose -257 = -5*r + h. Calculate the remainder when r is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121433 (base 6) to base 12.\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3693*-0.3.\nAnswer: -1107.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -10. Solve k*p - 6 = -2*t + 5*p, -2*t - 3*p = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**4 + 4*r - r**3 - 1129 + 1129 - 2*r - 38*r to h*r**3 + y*r + g + w*r**2 + n*r**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.163, -0.5, -0.2, 3, 4, -1.66?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/288 - (-2)\/9. Let y = -12.9 + 11.44. Let r = 1.46 + y. What is the biggest value in r, 1, w, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/3096 and 75\/344?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 561.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 9)\/(-1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 4*d**2 - 10*d + 1. Suppose -23*m + 34 = -12. Let n(c) = 2*c**3 - 3*c**2 + 11*c - 2. Let o(s) = m*n(s) + 3*w(s). What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-3) + (-48)\/9. Let u = j + 6. Let q be (0 + 1 + 2)*u. Solve -3*f = 2*b - 2, -2*f + 1 = -q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 12 = 37, m - 1 = -3*d. Let j be ((-6)\/4)\/(2\/(-4)). Suppose -5*p + 53600 = j*b, -15699 - 5722 = -d*p - 5*b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, o: 4, p: 3, y: 2, a: 1, g: 2}. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2. Let x(t) = -15*t + 266. What is x(h(y))?\nAnswer: 30*y**2 + 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 0.1, -0.5, 14 in descending order.\nAnswer: 14, 0.4, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/3))**(-11)\/(y**0)**(6\/13)*(y**0)**(-23)*y*y\/y**1*y\/(y\/(y\/((y**1*y)\/y))*y) assuming y is positive.\nAnswer: y**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 527*-0.9.\nAnswer: -474.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 48360 less than 47018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8.24802 - 8.207. Round g to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 6 - 18. Solve p*i - 4 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 418*t**3 + 2165*t**3 + 3.\nAnswer: 1747*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -30342249*f**2*o + 72466183*f**2 wrt o.\nAnswer: -30342249*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*m + 11*m + 11*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + u - 11 = 0, 0 = u - 0*u - 5. Let w(z) = -z**3 - 7*z**2 - 5*z + 8. Let y be w(q). Solve 3*d + d - 20 = 4*j, -5*j = y*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53.822 + 52. What is x rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-8) - (3 - 2). Let u be 12\/(-42) - (-33)\/(-7). Which is the third smallest value?  (a) h  (b) -0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: 3 * 14100307.9\nAnswer: 42300923.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 - 3 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, b: 5, m: 1, u: 1, q: 10, x: 1}. What is prob of picking 1 u, 1 m, 1 q, and 1 b?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 72597934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**1\/h*h*(h\/(h**(-1\/2)*h))\/h*h)\/(h\/(h*h**5)*h*h*((h**(-3)*h)\/h)\/h*h))\/((h\/(h\/h**(-1)))**(-1\/73)\/(h**(-1\/2))**(-7\/8)) assuming h is positive.\nAnswer: h**(10423\/1168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, q: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*i**3 - 98*i**2 + 122 wrt i.\nAnswer: -9*i**2 - 196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -371*h**2 - 4*h - 3*h + h + 361*h**2 + 6*h.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n = -6*n - 20. Let h(g) be the first derivative of 5*g**3 + 8 - n*g**3 - 2. Factor h(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06+-28600505239\nAnswer: -28600505238.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 9356*c + 1. Let j be u(1). Suppose -j = -5*y - 25357. Round y to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6750914.1 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -19268, -19521, -19940, -20525?\n\"Answer: -83*k**2 - 4*k - 19181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4557, 4555, 4555, 4557, 4561, 4567?\nAnswer: 4575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(768)*1 + sqrt(768)))**2 - (sqrt(3) - sqrt(1176)\/sqrt(8) - -3*sqrt(3)*-2)**2.\nAnswer: 2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 1)\/(20\/3). Suppose -2*q + 2*i - 2 = -3*q, -4*i + 4 = -5*q. Is f at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2701c (base 13) in base 11?\nAnswer: -4a543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 456*g**3*n**3 - g**2*n**3 - 14*g**2*n wrt g.\nAnswer: 2736*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3938776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j**(-6)\/j)*j\/(j\/((j\/(j\/(j*j*j**(-1)\/j*j)))\/j)))**(2\/35) assuming j is positive.\nAnswer: j**(16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (16\/(-10))\/((-2)\/(-10)). Let s be -5*1\/(10\/g). Let p = s + 4. What is the remainder when 15 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 2:58 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 76888969018.4 and 2.62.\nAnswer: 76888969021.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -4, -343\/4, -2.2.\nAnswer: -343\/4, -4, -2.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c + 575 - 475 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - o**2 + 10*o - 235. Let h be v(6). Let k be 2\/(0 + (-2 - -1)). Let w be k\/(-5) + (-4)\/10. Solve w = 2*s - s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -2. Suppose -a + 6 = -2*l - 4, 8 = -k*l. Suppose -a*n = -4*n - 50. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14.07 - -0.07. Let z = 19 + x. Let c = -4.979 + z. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 108*f + 3046. What is r(130)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + 107. Calculate the highest common factor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -248\/434955 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -v + 30, 10*v - 5*v - 3*p = 185. What is the least common multiple of v and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 95*r**4 - 70 - 110 - 55 + 14*r**4 + 101*r**4 wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + r - 12 = 0. Suppose 2*f - 5*v + 7 = 0, 3*f + 4*v + r - 5 = 0. Suppose -3*m - m + 20 = 0. Sort m, 3, f in decreasing order.\nAnswer: m, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 15 = 0, 0 = -3*u - 4*p + 2*p - 4. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-516)\/9*(-18)\/12. Suppose -34 = -5*k + q. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23392, -46766, -70140, -93514, -116888, -140262?\nAnswer: -163636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -43466*f. Let j(t) = -10585*t**2. What is j(p(y))?\nAnswer: -19998168056260*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 358 - 363. Let p(f) = -15*f - 72. Let h be p(z). Solve h*t + 0 = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*y + 3*v - 2583, -643 = -y + 2*v. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 284 - 284.1. Let h be 3\/21 - (-4 + (-537)\/(-133)). What is the second smallest value in -0.2, i, h, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.21 - 2.79. Which is the second smallest value?  (a) q  (b) 4  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 1 + -2 + (197 - (-216 - -381)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-six fifths of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-five eighths of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -40 in -0.5, -0.6, -4, 0.36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1558100513 a multiple of 2539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -3*p + 7*p. Let q = p + -13. Is 6 a factor of -8*(q\/(-2))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25\/2 of a century?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -629*a**3 + 339*a**3 - 197*a**3.\nAnswer: -487*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let 9 - 11\/4*f**2 - 12*f + 3\/4*f**3 = 0. Calculate f.\nAnswer: -3, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-323))\/(1200\/(-20400))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11797 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4294 + 449. What is the highest common factor of z and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -23, -2\/5, -1\/3, -0.2, 0.109, -1\/11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15648 and 370764?\nAnswer: 483476256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 242487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*h + 2*c, -4*c + 1 = 13. Let p be -4 + 6 + 10*h. Let m = -16 + p. Calculate the greatest common factor of m and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - 3*u**2 + 4*u - 1. Suppose 4*l - 4 = 2*g, g = 2*g + l - 13. What is the smallest common multiple of j(3) and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 13 - 1 = 0. Suppose 2*y + 3*i + 27 = x*y, 18 = 3*y - 3*i. Suppose y*t = 4*t + 75. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/18 - (4959\/81)\/(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 8, 0.5, -140, 126?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 8*a**2 + 9*a + 3. Let f be x(9). Let d = 7 - f. Solve -4*g + 4 + d = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4 - b**3 + 7 + 0*b**3 + 5*b**2. Let m(y) = y**3 - y**2 - 1. Suppose 5*z = -8 + 3, 3*z = 5*g - 8. Suppose 0 = 6*d - 17 - 1. Give d*m(i) + g*x(i).\nAnswer: 2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -378*p + 374*p + 2812 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100010 - 1100011111101110110000?\nAnswer: -1100011111101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 25 = 24*m + 3*m - 28, -5*m - 45*i + 44*i = -31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 10*h**2 - h + 13. Let x be m(10). Let w be (x - (-1 - -2)) + 0. Suppose 12 = 5*g - w*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.8414 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -t**6\/3 + 8*t**5\/5 - 5*t**4\/2 + 4*t**3\/3 + 35. Solve a(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 352 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x - 15. Let s(w) = 241*w**2. Give f(s(v)).\nAnswer: -482*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i - 9. Let g be u(10). Let q = 15 - g. Let b(s) = -s**2 - 7*s + 7. Let d(k) = -k**2 - 6*k + 6. Calculate q*b(r) - 5*d(r).\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15814?\nAnswer: 2, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, 2\/19, 7811?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = v - 59, v + 2*v + 5*k - 147 = 0. Suppose -4*m + 124 = 2*p, 14*p - 17*p = 3*m - 201. Suppose p = y + v. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 0, -11, -68, -171, -320?\n\"Answer: -23*j**2 + 58*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*q = 4, z + 2*q = -q + 3. Let f(v) = -v - 1. Let m be f(-4). Solve -m*k + z*k = -12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {f: 1, m: 2, s: 2, a: 2, g: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 3*q = -3*p + 114, 0 = 4*q + 5*p - 153. What is the derivative of 23*d**3 - 22*d**3 - 5*d + 5*d - q wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 81*z. Let b(g) = 4*g**2. What is x(b(j))?\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 13*l**3 - 3*l**2 - 2*l - 3. Let i be x(-2). Let g be 2\/(-4) - (-1668)\/8. Let m = g + i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 7547*p - 422667. Give h(56).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -9*h - 5. Let o(v) = -12*v - 10. Let z(k) = -11*k - 9. Let c(q) = 6*o(q) - 7*z(q). Determine 7*c(j) + 4*n(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2387555579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-56)\/(-20) + -2 + 931236\/30. Suppose -2*m + u = -3*s, -12*m = -17*m + 5*s + 77615. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1100*-0.05.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b - 3. Let k(v) = 16*v + 16. Let x(w) = -11*j(w) - 2*k(w). Let c(m) = 15*m + 12. What is -c(s) + 12*x(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 50\/575 + 1079\/23. Let j(l) = -l**3 + 47*l**2 + 3*l - 103. Calculate the remainder when j(g) is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 9. Let r = -417 - -420. Let d = 58 + -178\/3. Which is the nearest to u?  (a) r  (b) d  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 5*a**3\/4 - 133109*a**2\/2 + 885886983*a + 354365442 = 0.\nAnswer: -2\/5, 26622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*d + 8*d + 10*d)*((1 + 2 - 5)*(-2 + 6 - 2) - 5 + 5 + 6).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 2*c. Suppose -v + 3*v - 36 = c. Suppose -4*g + 3*o + 82 = 6*o, 2*o - v = -g. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -138*z - 3442. What is the remainder when 1165 is divided by x(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -38*m + 570. Let g be s(15). Let r(u) be the third derivative of 0*u**4 - 10*u**2 + 0*u**3 + 1\/300*u**5 + g + 0*u. What is a in r(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 336761\/70 - 4811. What is the common denominator of z and 3\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -29*x - 257. Let t be y(-9). Solve -12*p - t = -10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b\/(b\/(b**(-15)*b)))\/b))**(-32)*b**(-35)*(b*b**(-21))\/b assuming b is positive.\nAnswer: b**(-568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 AM and 10:35 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 6\/11 and -0.0370145 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(6\/22)*(1 - -1). Suppose 338053 = -n*c - 629947. Round c to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, i: 6, s: 2, h: 2, n: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c - 2. Let d be p(2). Suppose 0*j - 4*w = -d*j + 110, -59 = -j + 3*w. Is j\/3 - 12\/18 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*h**(-1\/4)*h*h)**49\/(h**(-2\/3))**40)**10)**16 assuming h is positive.\nAnswer: h**(101000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*u**3)*(u + 0*u + 2*u + (-1 + 2 - 2)*(-15 + 15 + 2*u)) in the form j + y*u**3 + i*u**2 + d*u + b*u**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*m - 5*m + 2*h, -m + 11 = 3*h. Suppose s + 5*k = 238, 8*k = m*s + 11*k - 1102. Does 35 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.83542005 rounded to three dps?\nAnswer: -12.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**0\/q)\/(q*q**(3\/4)))**(-37))**(-23))**(1\/28) assuming q is positive.\nAnswer: q**(-9361\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 175600120 - 4.\nAnswer: 175600116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from {a: 7, f: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-51)\/(-7 - -4))\/(1\/5). What is the greatest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -4 + -6*28\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 11. Let y be m(-12). Suppose 11*t - 8*t - 3 = 0. Which is the third smallest value?  (a) y  (b) t  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 5 = -3*v. Let r(a) be the second derivative of -a**4\/12 + 2*a**3\/3 + 2*a**2 - 4*a + 6. Give r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -0.051.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1057 - 1163. Which is the nearest to 1?  (a) 1  (b) d  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uypy when four letters picked without replacement from {n: 2, y: 3, p: 2, l: 6, u: 4}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 60*r**2 + 1 - r**3 - 118*r**2 + 59*r**2. Let i(p) = 7*p**3 - 4*p**2 - 3*p - 5. Let w = 5 - 10. Calculate w*b(z) - i(z).\nAnswer: -2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeefefeeeeefee. Give prob of sequence fee.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 12*z - 40. Let q be s(-11). Let u = -42 - q. Solve 19 = 3*h - 4*d, -5*h + 2*d + 4 = -u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -118608, -118591, -118574, -118557, -118540?\n\"Answer: 17*q - 118625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -531.35 + 531.3441278. Round b to four decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in 4, -141, -2\/11, -42?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**2 - 2*q**2 + 3*q**2)*(-q + 4*q - q + 0*q + 5*q - 3*q + (-5 - 3 + 5)*(-q + 21*q + 11*q) - 2*q + 0*q + 0*q).\nAnswer: -91*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 212 - 273. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(-3)*j)\/j**(-1))\/(j\/(j\/(j\/(((j*j*j**(-5))\/j)\/j))*j)*j\/(j*j**(2\/5))))\/((j**2)**(6\/11)\/(j**(2\/7))**30) assuming j is positive.\nAnswer: j**(3419\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*b**5 + 156*b**4 - 849*b**3 - 4782*b**2 - 6813*b - 3024 = 0 for b.\nAnswer: -16, -3\/2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6147221 is divided by 489.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -24.09846997 to three dps.\nAnswer: -24.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -518.93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 416*k - 27456923 = 2743845. Does 186 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 53587667 to the power of 1\/2, to the nearest integer?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5614, 29174, -3\/2?\nAnswer: 5614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 0. Let f = 2\/498751 + -1585529443\/3491257. Let q = -453 - f. Put u, q, -3 in descending order.\nAnswer: u, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 7:27 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 6 = -6. Let z be (-696)\/7 - ((-32)\/(-14))\/4. Let u = 98 + z. Which is the third biggest value?  (a) u  (b) k  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(450)*-4 + -5)**2*4 + -4.\nAnswer: 2880*sqrt(2) + 28940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*-296999.7\nAnswer: 29699.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*z + 299 = -476 + 226 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - -1) + -5 + 2. What is the tens digit of (s - 1) + 0 + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.9, 79, -1.9, -5\/6, 2\/7 in descending order.\nAnswer: 79, 2\/7, -5\/6, -1.9, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = t + 1100. Let w be ((-16)\/20)\/((-4)\/t). What is the highest common divisor of w and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 907, 2253, 3599, 4945, 6291?\nAnswer: 7637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 14, f: 5}. Give prob of picking 1 f and 3 h.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.12 - 0.88. Put 0.5, m, 14\/5, 3 in decreasing order.\nAnswer: 3, 14\/5, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 62835*i**3*o**3 + 4*i**3 - 5267*i**2*o**3 + 60979*i**2*o**2 + 49*o**2 + 1 wrt o?\nAnswer: 377010*i**3 - 31602*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.9 <= -672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 3*a = -7, -5*d + 3*a - 7*a + 11 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9841\/893 or -12?\nAnswer: -9841\/893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1\/5, -0.1, 9, 1\/2 in ascending order.\nAnswer: -1\/5, -0.1, 1\/2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (18\/(-8))\/(24\/(-64)). Solve 0 = -2*k - n + 9, 3*k - 2*n - s = -n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -84\/14545?\nAnswer: -84\/14545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 376*u**2 + 2256*u**2 + 14 - 2631*u**2 + 9.\nAnswer: u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 - 3*l**2 - 12*l - 15*l + 27*l.\nAnswer: 3*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/12*13\/((-39)\/(-162)). Suppose -3*b + 246 + 507 = 4*s, -2*s - 5*b + 359 = 0. Calculate the highest common divisor of f and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234014?\nAnswer: 2, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0025 and -74.8334383.\nAnswer: -74.8309383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -5*v**2 + 3005*v - 20790 = 0.\nAnswer: 7, 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + d)*(-37 + 25 - 60 + 3 + 1 - 3 + (1 + 0 - 2)*(-4 + 2 + 0)) - 2*d - d - 2*d - d - 4*d + 3*d + (-2 - 2 + 5)*(3 - 3 + d).\nAnswer: -75*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 462834 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-115)\/(-25) + (-9)\/15. Find the third derivative of -t**5 + f*t**5 - 8*t**5 - 10*t**2 wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -448*l. Let j(u) = 2*u. What is m(j(n))?\nAnswer: -896*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-2) + 505175\/1010360. Let c = z - -1259312713\/1818648. Let i = 12791\/18 - c. Calculate the common denominator of 13\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1426521 by -1011.\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24\/(-10) + (-4)\/(-10). Let b be ((-21)\/(-6))\/(a\/20). Let v = -16 - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -430 divided by 10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of 17*x**6\/120 + 29*x**5\/30 + 7*x**4\/3 - 3*x**3\/2 + 234*x**2 - 13. Find the second derivative of l(d) wrt d.\nAnswer: 102*d + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45.46 + -49.46. Let q = 5 - 21. Let v be (18\/q)\/((-3)\/2). What is the nearest to -0.1 in d, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 68227*r*w**2 - 67786*r*w + 4*w**2 + 1 wrt w?\nAnswer: 136454*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*w + 3*w**2 - 17*w + 2*w**3)*(-3*w + 3*w - 2*w).\nAnswer: -4*w**4 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -334 + 347. Suppose -2*h = -10, -8*a + b = -4*a - 3*h. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 2:37 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -2681673.754 to the nearest 1000.\nAnswer: -2682000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.21, -2, -0.16 in decreasing order.\nAnswer: -0.16, -0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (264\/(-198))\/(12\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w - 3. Let d be s(-2). Let c = 9 + d. Let t(f) = 13*f**2 + 2*f + 1. Let r(x) = -9*x**2 - x. Let z(u) = 4*r(u) + 3*t(u). Give z(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - -1. Is ((-15)\/p)\/((-14)\/(-16) - 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335690209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10006, 22358, 37058, 54106, 73502, 95246?\nAnswer: 119338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/42 and -13\/8409084.\nAnswer: 58863588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3047 (base 8) to base 9\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.02 and 66558.3.\nAnswer: 66558.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.91 and 138126.9.\nAnswer: 263822.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 19*t**2 - 3*t + 4. Is z(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and -1.017024151014.\nAnswer: -0.917024151014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1155586 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: Sort -11621533, -1, 3 in increasing order.\nAnswer: -11621533, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 28155*p + 28156*p = -16, 7*o + p = -36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -173097*b - 136617 wrt b?\nAnswer: -173097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 - 17. Let f be (-4)\/14 - 4\/(-14). Suppose f = 2*t - 5*x + x - 168, -2*x = 2*t - 156. Calculate the greatest common factor of t and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*k**3 - 129*k + 9351 wrt k.\nAnswer: -18*k**2 - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 68834*o**4 + 128*o**2 + 94?\nAnswer: 1652016*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 58 - 340?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(343) - (sqrt(343) + sqrt(343)*2 + sqrt(343))).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2))\/(90\/(-1800)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**2 - 3*k - 3. Let f = -5 + 2. Let g(m) = 3*m**2 + 5*m + 5. Let l(x) = f*g(x) - 5*v(x). Let j(h) = 5*h. What is l(j(p))?\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -67, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5510 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -3*t**3 + 3*t**2 + 5*t - 3. Let y be u(3). Let k be y\/(-10) - (-1)\/(-5). Suppose 9 = h - k. Solve 0 = -5*s - 2*g + 33, -s - 2*g + h = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36488, -36494, -36490, -36470, -36428, -36358, -36254?\nAnswer: -36110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9.7 - -0.3. Let l = -16 + n. Let w = -6.4 - l. Which is the second biggest value?  (a) w  (b) 1\/4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 2\/11  (b) -3\/5  (c) 52.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 5:34 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.5 - 6. Let k = -4.06 - -0.06. What is the second biggest value in d, k, 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (29 + -16 + -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, z: 11}. What is prob of picking 1 z and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2238, 4480, 6726, 8976?\n\"Answer: 2*g**2 + 2236*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-8)*-10*2)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = 2*o + 16, 0 = -0*b + 3*b - o - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zllozlhhlrhzlzrhl. Give prob of sequence hzrz.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/2 - 13855\/(-2934).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i + 2*i + 3*i - i + i + i - 2 - i + 2 + 3*i + 2*i - 4*i + (4*i - 4*i - 2*i)*(1 - 1 + 2) + 0 + i + 0 - i + 2*i - 3*i - 6*i - 8 + 8.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + -1541958186.\nAnswer: -1541958185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - 30)*(-91)\/546?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Is 648001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -3*d**2 + 206904*d - 4550436 = 0.\nAnswer: 22, 68946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -3270\nAnswer: -2\/1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -17*y + 56. Let a(j) = -j**3 - j**2 + 16*j + 18. Let m be a(-4). Let k be o(m). Solve 4*b + k = 2*g, 4*b + 4*g + 7 = g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -391653\/103 or -3802?\nAnswer: -391653\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -1011120?\nAnswer: 1011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 356581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - -1210?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 13*m**2 + 3*m - 34. Calculate z(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36496951 is divided by 8291?\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 + 32*j**2 - 9*j - 20. List the prime factors of s(-27).\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -14*p**2 + 424*p - 900. Determine x(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.279 * 99.\nAnswer: 27.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*a - 3*v + 63 = 19*a, -11*a + 23*a = 5*v + 355 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-144)\/(-168))\/(-7*21\/(-3430))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*g - 8 - 4, 5*j + 6 = -4*g. Let w(c) = 6*c + j*c - 6*c - 2. List the prime factors of w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1078497 and 7942.\nAnswer: 450811746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 8, 4, 4\/3, -0.1, -2.0357.\nAnswer: -2.0357, -0.1, 0.2, 4\/3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -14082813.\nAnswer: 1\/4694271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 84*u**2. Let k(f) = 8*f. Let s(b) = 9*b. Let y(i) = -5*k(i) + 4*s(i). What is y(l(w))?\nAnswer: -336*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**2\/2 - 1. Let n(j) = -1 + 23685*j + 1 - 23699*j. Determine q(n(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -362*n - 355*n - 362*n - 364*n + 2165*n - 360*n - 360*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 789471 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(2\/3)*j*j**2)**26)**(-13))**(4\/25) assuming j is positive.\nAnswer: j**(-2704\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q + 9*q = -2*d + 8, 29*q + 116 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 93843 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**2*r*r*r))\/((r\/(r**(2\/5)\/r))\/r))\/(r**(6\/5)\/r**(-2)) assuming r is positive.\nAnswer: r**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -463 + -52?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 - 85. Let l be -1*1 - g\/90. Which is the third biggest value?  (a) l  (b) -1\/3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 82 - 0 - (14 + 52).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 3*o - 1. Let c be f(-4). Suppose -c*v + 8 = v. What is the third derivative of 4*u**2 - u**v - 9*u**6 + 10*u**6 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 7.074328 meters?\nAnswer: 0.007074328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3162 + -3044. Solve -124*z = -p*z - 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 14. Let d = 17 - 3. Let z be u(d). Solve z = v - 4*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5782.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -573*t**2 - 21591602*t + 21591602*t.\nAnswer: -573*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10092 divided by -3364.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*k - 2. Let o(b) = 2 + b + 0 - 2 + 12*b**2. Is o(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 8:55 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -205417 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4012 - 4015. Sort -4\/7, 5, f, 0.2.\nAnswer: f, -4\/7, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, -1, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p - 12. Let f be m(-6). Let s(b) be the first derivative of -3*b**2\/2 + 15*b + 638. Give s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.4 times -785\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 65*n - 24. List the prime factors of b(3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -27  (b) 5\/9  (c) -3\/5  (d) 998\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 672 + -654. Suppose 128 + 16 = r*p. Solve -4*c = -4*z + p, c + 11 = 5*z - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -328 - -6.69?\nAnswer: -321.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 69871843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q. Let s = 1 + -2. Let r be m(s). What is the common denominator of -137\/18 and (158\/(-14) - 1)\/r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**6*k*k)\/((k*k**(-6\/11))\/k))\/(k**(-1\/6)\/((k**5\/k)\/k)) assuming k is positive.\nAnswer: k**(839\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48\/53, 2, -0.4, -0.9.\nAnswer: -0.9, -0.4, 48\/53, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.02 + -0.02. Which is the closest to g?  (a) 0.2  (b) 0  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/2)\/(i*((i*i*i\/(i**4*i))\/i)\/i))\/(i*(i*i\/i**(1\/3)*i)\/i)**42 assuming i is positive.\nAnswer: i**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.95 + -0.05. Let y = 13 - -16. Let z = 29 - y. What is the nearest to z in 0.5, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (-1 - (-10 + -26)) + -19 - (23 + -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/((-16)\/(-6))*-2. Which is smaller: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -5*q - 11. Let m = -15 + q. Find the common denominator of 1\/m - (-155)\/4 and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 4*t - 48172, -c - 11425 = -2*t + 12655. List the prime factors of t.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13032 by -3.\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -7*m + 4*m. Suppose m*o + 2*s = 17, -4 = -2*o - 3*s + 14. Suppose -5*z = o*l - 70, 0 = -z + 4*l + 32 + 5. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -eaa - -4?\nAnswer: -ea6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 267100199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 12*s - 219 = -59. What is the remainder when 556 is divided by s?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z - 2*z**4 - 2*z + 2 + 2*z**3 + 54628*z**2 - 54598*z**2 + 2*z**3 to the form h*z**4 + w*z**3 + p*z + r + x*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 4:52 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/12)\/((-385)\/(-6160)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6112\/263 or 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11040 is divided by 1569?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 27, 58, 101, 156?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 752866 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42*y - 2*y - 6 + 48*y to n*y + k and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 5*p - m - 245, -2*p + 98 = 3*m. Suppose -3*k = -7*k + 16, -2*o - 4*k + 58 = 0. What is the remainder when p is divided by 121\/7 + ((-24)\/o)\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42252100 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 1)*(62 + 3 - 1)*((1 - 4 + 2)*(0*y - y + 0*y) - 19*y + 8*y + 22*y) to the form i*y + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.4, 2\/13, 4 in ascending order.\nAnswer: -0.4, 0, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 - 147*k - 529. What is w(109)?\nAnswer: -4671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of o**5\/60 - 5*o**4\/24 - 2*o**3\/3 - 10*o**2 + 17. Let b be (12\/(-14))\/(2\/(-14)). What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + b = -2*b, 5*q = 3*b + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 154*d - 1664. Let z be l(11). Solve 5*y = -3*s + 25, 4*s - 5*y = -10*y + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2242*o - 9478 = -1619*o + 5966 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2601 (base 9) to base 7\nAnswer: 5446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -7\/20*r**5 + 0*r**3 + 0 + 3*r + 0*r**4 - r**2. What is the derivative of c(i) wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -352\/107 or 1\/3?\nAnswer: -352\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46767093.\nAnswer: 3, 15589031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1274*s - 2*s**3 - 194 + 2551*s - 1277*s.\nAnswer: -2*s**3 - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-5)*(-17)\/(17\/(-70)). Let m = p + -26. Solve -2*c + 6 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 143, 274, 403, 530, 655, 778, 899?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2162 <= 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(77) + (sqrt(77) - 5*(sqrt(77)*4 - sqrt(77) - sqrt(77))))\/sqrt(11))**2 - (-3 + sqrt(175) + 0)**2).\nAnswer: 150*sqrt(7) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i + 4. Let d(g) = 7*g - 9. Let v(t) = 4*d(t) + 9*r(t). Let b(j) = -2*j**2. Determine v(b(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 2:59 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + -4 + 5 + (-30)\/2. Let f = o - -27. Suppose 6*v - 80 = f. Which is greater: v or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = -17*o - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 8*k + 31. Let y(i) = 10*i + 29. What is 2*u(q) - 3*y(q)?\nAnswer: -14*q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-2 - -14))*-7*(-6)\/126?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 13. Let b(w) = w**2 - 8. Let a be b(m). Let c be 1\/(-1 - 9\/a). Do c and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*d**5 - 150*d**4 + 830*d**3 + 300*d**2 - 585*d - 270 = 0. What is d?\nAnswer: -3, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - -1 - (-4 - -1). Suppose -s - 40 = -m*x - 0*x, 2*x = 4*s + 6. Suppose -h = -0*h - x. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/21)\/(552\/1449)*2*3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 491845 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: What is -200410 (base 6) in base 16?\nAnswer: -3d56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 493 + 456 - 1944 + 496 - 2*l + 499.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12257, 13164, 14071, 14978, 15885?\nAnswer: 16792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3077, 9042, 36351, 78850?\n\"Answer: 7595*b**2 - 10666*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136233 is divided by 43303?\nAnswer: 6324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**2*h**2*l**3 + 2475*d**2*l**3 - 3*d*h**2*l**3 - 3*d*h**2*l**2 + 30*d*h + 2*d*l + h*l wrt d?\nAnswer: 2*h**2*l**3 + 4950*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 divided by 25364?\nAnswer: 11\/12682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 147288581 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 3\/7, -3, 4.6, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**3 + 122 - 122 + 2*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 10 = -3*p - p, 4*p + 2 = 2*s. Let u(g) = -2*g**2 - 12*g + 13. Let k be u(-7). Which is the third biggest value?  (a) p  (b) -4  (c) k  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 150 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -2. Suppose d*l = 4*l - 16. Find the second derivative of -r**3 + 3*r - 3*r - l*r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 - 8*x**2 + 3*x**2)*(-x**2 + 6*x**2 - 2*x**2 + (-5*x + 15 - 15)*(-2*x + x + 0*x)).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) 1947  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-8)*12\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2004 and 208.\nAnswer: 104208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 4*m**2 - 98*m + 52. Let c be v(24). Solve 5*t = 3*a + 19, -4*t = -c*a - 12 - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 - -97. Suppose s - 4 = -z, z = -2*z + 2*s - 8. Suppose z*o - m = -3*o. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 308, 601, 884, 1157, 1420, 1673, 1916?\n\"Answer: -5*l**2 + 308*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*v + 6. Suppose 2*i - o - o + v = 0, -5*i - 3*o + 11 = 0. Let u = -8 + 13. What is the highest common factor of i and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*g + 110 = -19*g. Let u(a) = 3*a**2 - 2*a - 3. What is the remainder when u(-3) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -4*n + 8 - 4, -3*w - 22 = 5*n. Put n, -3, 2 in decreasing order.\nAnswer: 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 12:05 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in 3\/11, -16.596, 2\/3?\nAnswer: -16.596","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 12. Suppose 0 = -4*u - u - 635. Let r = u - -237. What is the highest common divisor of r and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138900 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 10 = 10. Suppose y*n - 38 + 8 = 0. Let l = 4 + -3. Put n, -4, l, -2 in descending order.\nAnswer: n, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*c + 3 - 3 - 12*c - c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 11)*(-r + 5*r + r).\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -10 from -3767.\nAnswer: -3757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*sqrt(77) + sqrt(77))*6)\/(sqrt(189)\/sqrt(3) - (sqrt(49)*1)\/sqrt(7)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t**2 - 395*t**4 + 6*t**3 - t**3 + 408*t**4 - t to the form n*t**3 + l + c*t**2 + f*t**4 + i*t and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 11453241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x*x*x\/(x\/(x\/((x\/x**4)\/x))*x))*x**(1\/20) assuming x is positive.\nAnswer: x**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -23*22\/(-2277)*(-3)\/1*864\/84?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 30 - 23 = 3*j, 0 = -j + 4. Let f = w + 19. Let n be (f\/(-4))\/(18\/(-12)). Put 2, 3, n in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 139 - 144. What is the closest to 4 in 3, m, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23011858 - -86.665.\nAnswer: -23011771.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 138 - 143. Which is the closest to -1?  (a) -3\/4  (b) -0.16  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22807177 or 22807156?\nAnswer: 22807156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -4 + 2 + 3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -26*f - 261. Calculate d(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1853*h + 3712*h - 1873*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 106.361 rounded to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/1422907 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 170627814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147817 is divided by 2845?\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 123114511 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/732054 and -157\/732054.\nAnswer: 732054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/5)*o\/(o*o**5)*o)**(-1\/51)*((o\/(o**(-3)\/o))\/((o*o*o**(1\/4))\/o))**(-11\/6) assuming o is positive.\nAnswer: o**(-817\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5822498 rounded to the nearest 100000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -2\/3, -0.22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -8\/11  (b) -2\/17  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -w + 115 - 133, 3*w + 2*j = 171*j + 127 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiiiii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 207 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1488744 and 95610448?\nAnswer: 860494032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96, -98, -102, -108?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -12  (b) 6  (c) -0.4  (d) -4  (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -327, 2, -5 in decreasing order.\nAnswer: 2, 1, -5, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 + 28. What is the first derivative of -1 - 8 - 2 - q + 20*y wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228096 times -0.2?\nAnswer: -45619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12617 in 2, -10, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**3\/3 - 70*x**2\/3 + 134*x\/3 - 22 = 0. What is x?\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 4*y = 0, q + q = -y + 11. Let l(t) = 71*t**2 + t - 2. Let f be l(1). Suppose 76*b - 120 = f*b. What is the highest common factor of q and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -6 - (-1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20397 + 20493. What is the remainder when 466 is divided by h?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12552 + 15555 + 18539 = 562*z for z.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 2*j + 350 = 0, -3*v - 5*j = 2*v - 350. Does 6 divide 1008\/v + 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 127105 * 5\nAnswer: 635525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1)**(3\/20)\/(s**2\/s**(2\/9)) assuming s is positive.\nAnswer: s**(-293\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*s - 19*s - 9*s = -99 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.241636mg?\nAnswer: 0.000241636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -333*z = -q - 336*z + 8, -5*q + 4*z + 21 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 321913101 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 467637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*i = -63*i + 394. Suppose i = t + 138. What is the remainder when t is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -139716*h**3 - h**2*s - 496041*s wrt h?\nAnswer: -419148*h**2 - 2*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*317*(-6 + 5). Let w = -247 + u. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-146 - -145) + 9 + (0 - (-2 + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 145*r + 137. What is the units digit of d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2313424143 + 24?\nAnswer: 2313424222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.163 + -3.797. Let z = y - 0.04. What is the second smallest value in 6, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68 - -68.2. Which is the closest to -1?  (a) w  (b) 5\/3  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19363317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 108 = 2*k. Suppose 4*d - 108 = -2*a, 0*a = 2*d + 2*a - k. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -48, -0.2, 599?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/(225\/(-108))*(-329)\/141.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.162312511 + -68861269.162312511. Let u = -68861265.0099831 - g. Let b = -3.99 + u. What is b rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0977 and 0.3.\nAnswer: -0.02931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 14*q**2 + 16*q - 5. Calculate the remainder when 45 is divided by o(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 + -29. Let j be 0\/(-2*(-1)\/2). Which is the closest to m?  (a) j  (b) 0.2  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 - 19. Let o(x) = x**3 + 6*x**2 - x - 4. Let h be o(y). Let r be ((-6)\/(-36))\/(h\/4). Which is the closest to r?  (a) -1  (b) 0  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 35 = 8. Let t be (-1 - j)*3\/6. Let b = t + 34. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence laq when three letters picked without replacement from {e: 1, m: 3, l: 1, s: 5, a: 6, q: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19228668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of -244*r**7\/7 - r**6\/6 - 23*r**3\/3 + 174. Find the third derivative of w(b) wrt b.\nAnswer: -29280*b**3 - 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 327\/58?\nAnswer: 327\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 5:10 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2543 + -1102. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -30*m**2 - 29*m + 66. Is 16 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.73081427 + 426907.7\nAnswer: 426905.96918573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 272831 and -9069?\nAnswer: 281900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -580 + 2898\/5. What is the closest to 2 in -5, 0.5, 0.03, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-3 - 0) + -7 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 25439050, 50878097, 76317138, 101756173, 127195202?\n\"Answer: -3*r**2 + 25439056*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8914312 divided by -1114289.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2136 divide 436362909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**3 + 32*u**2 + 138*u + 180 = 0. Calculate u.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/5, 1\/2, 46\/7, -2\/909, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12768.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - h + 7 = 0, 3*h - 7 = -3*g - 2*h. Suppose -r - g*r - 33 = -3*p, 55 = 5*p + r. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 12) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + n**2 + n - 1. Let i(v) = -8*v**3 - 3*v**2 - 7*v + 5. Let c(x) = 4*a(x) + i(x). Let q(m) = 9*m**3 - 3*m**2 + 7*m - 3. Give -7*c(p) - 3*q(p).\nAnswer: p**3 + 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1966836959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3971*a**2. Let q(i) be the second derivative of -i**4\/6 + 907*i. Calculate y(q(p)).\nAnswer: -15884*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93 - -97. Let q be (440\/12)\/5*30\/m. Calculate the highest common factor of q and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 455126 and 4484?\nAnswer: 910252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 418*p + 61 + 425*p - 861*p in the form b*p + l and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -25 - -120?\nAnswer: ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2374, 19008, 64156, 152074, 297018, 513244, 815008?\n\"Answer: 2376*h**3 + h**2 - h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.23 - 9.63. Sort 3, 70, k.\nAnswer: k, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 30ad6a + e?\nAnswer: 30ad79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12518329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + m**2 + 3*m + 2. Let s be z(-2). Suppose -20*g + 19*g + 20 = 0. Solve -s = n + n + 2*x, 3*n - 5*x = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r + 3. Let v(z) = -10*z - 16. Let u(i) = -16*l(i) - 3*v(i). Suppose -5*h - 12 = -52. Let k(w) = -4*w**2 + h*w**2 - 3*w**2. Calculate k(u(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -1.73\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -312440 (base 6) in base 3?\nAnswer: -1021121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2346333466.\nAnswer: 2, 37, 31707209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*w - 2*w. Does 20 divide (-81)\/w - (-9)\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*u - 30, 2*u - 4*k + 60 = 6*u. Let w = -11 + u. Suppose -p = -8 + w. Solve -4*j = -4*z + 4, 5*j + 0*j + p*z - 22 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -8 + 28. Find the second derivative of -2*x**2 - 2*x**5 + 4*x + 2*x**2 - 3*x**h wrt x.\nAnswer: -100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 7*p - 20. Let j be c(6). Calculate the highest common divisor of 286 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -u + 1 + 2, 5*w = 3*u + 15. Suppose -11*p = -w*p - 24. Suppose p*c - 216 = -c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 9.117313 nanograms?\nAnswer: 0.000000000000009117313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -y - 1 + 43\/2*y**2. Let v be w(2). Calculate the greatest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -9b84b08?\nAnswer: -9b84b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j**2 + j + 3490. What is o(-40)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -k**3\/2 + k**2 - k. Let y(a) be the first derivative of a + 491. Let r = 7 - 4. Give r*y(q) - z(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*p + 36*p - 26*p - 2*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 65*((-1)\/1*-1)\/(-12 - -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 6*g**2 + g - 3. Calculate b(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/35560 and -119\/2286.\nAnswer: 320040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(27\/(-42))*11595\/15460.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, m: 9}. What is prob of picking 1 b and 3 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -2*a**3\/3 + 11*a**2 - 68*a - 120. Differentiate f(y) wrt y.\nAnswer: -4*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.32 - 1.68. What is the third biggest value in h, -30, -3\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 884 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**6*i**2 + 103455*g**3*i**2 - 385*g**2 - g*i**2 - 13*g wrt g.\nAnswer: 240*g**3*i**2 + 620730*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + (sqrt(5) - sqrt(15)\/sqrt(3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3931\/15 - -1302\/5. Which is the closest to -2?  (a) 2\/13  (b) s  (c) -2\/3  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 588 and 115745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/331?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113 - (4 - (100 - 56)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18 + 7102?\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7 - 2*p**2 + 10\/7*p + 6\/7*p**3.\nAnswer: 2*(p - 1)**2*(3*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 170780094*h**2 + 158350205?\nAnswer: 341560188*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 128783765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**3 + 6*s**3 - s**3 + (-5*s + 2*s + 4*s)*(3 + s**2 - 3) - 64*s**3 - 49 + 49 + 2*s**3 - 3*s**3 - s**3.\nAnswer: -63*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 2*v - 11 = 0, 415*c + 3*v = 417*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by -3 + 3 + -1 + 43 + 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 994 - 5?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 - 14. Let v = f - -6. Let k = -22 + v. Solve -q + 5 - k = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oovohmvoxoggovh. What is prob of sequence mo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 13 + -1 - (-2 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 626159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 - 15. List the prime factors of (4\/3)\/(6\/s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -3*i**2 - 53994*i - 2423655 = 0.\nAnswer: -17953, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(21)\/sqrt(175))**2.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2180, 2233, 2286, 2339, 2392?\n\"Answer: 53*p + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -9*r - 4. Let t(i) = -i - 1. Let n(v) = l(v) - 5*t(v). Suppose -21 = 3*m - 0*m. Let h(d) = 111 - 332 + 222 - 3*d. Give m*h(w) + 5*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22139 and 990360?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*-2 + (18 - (24 + -14)). Solve -2*f + m + 3*m + 16 = 0, -2*m = -i*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 2*z**2 - 6*z**2 - z**2 + 3*z**2. Let d(v) = -2*v**2 + 6*v + 6. Let h(c) = -4*c**2 + 13*c + 13. Let j(p) = -13*d(p) + 6*h(p). What is g(j(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-5 + (-2857495)\/(-2857500) + 4). What is w rounded to the nearest 10000?\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*6\/(-27) + 44\/(-36). Let f(k) = 2*k - 430. Let b(s) = 43. Let d(z) = 10*b(z) + f(z). Calculate d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 e when four letters picked without replacement from {f: 2, e: 1, g: 2, w: 1, z: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 98.03 - 98. Which is the third smallest value?  (a) -0.4  (b) r  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (76 - (-3500)\/(-49))\/(-2 + (-32)\/(-14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x**2 + 3*x**2 + 2*x**2 + 3*x**2 - 2*x**2 - 2*x**2 - 2*x**2 + 0 + 0 + (-2*x + 0*x + 0*x)*(0 + x + 0) - 61 - 82 - x**2 + 149 - 2*x**2 + x**2 - x**2.\nAnswer: -10*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: 1.57 - -16\nAnswer: 17.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m**2. Let t(f) = -6*f - 114. What is o(t(p))?\nAnswer: -72*p**2 - 2736*p - 25992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -277*f**3 - 3*f**2 + 3*f - 1. Let k be v(2). Let g = k + 4102. Suppose -4*u - g - 4521 = 0. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -515*n - 1155. What is the tens digit of f(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 508379 is divided by 254188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/7))**(-45)*(m\/(m**(-1\/3)\/m*m)*m)**(-30)*(m*m\/(m*m**(-2\/7))*m*m)**28\/(m\/(m\/(m\/((m**(-2\/7)*m)\/m))))**48 assuming m is positive.\nAnswer: m**(-368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 9:01 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30 and 6?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -73 + 72.801. Let g = x - 0.101. Sort g, -19, 1, 0.\nAnswer: -19, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57460767?\nAnswer: 3, 7, 13, 109, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*10\/45)\/(8\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -9*q + 77. Let r be d(9). Let p be (-3 + 3)\/(13\/(117\/(-36))). Put -1, r, -88, p in decreasing order.\nAnswer: p, -1, r, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.62957 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1092*a - 1093*a = -2644200. Round a to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*t + 8*t + 4987*t**3 + t**5 + 738*t**3 - 2*t**2 - 299 + 299 wrt t.\nAnswer: 60*t**2 + 34350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 33 or 48776?\nAnswer: 48776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h**3 - 2*h - 2. Let b be f(-1). Suppose -s - 2 = -u, -s - 9 + 2 = -b*u. Suppose -197 = -u*o + 493. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 45\/16 - -1\/48. Calculate the common denominator of 151\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4*y = 4 + 19, 0 = -i + 2*y + 1. Suppose -21 = -3*z + i*g, 0*z = -2*z + 5*g + 19. Calculate the remainder when (3\/(-2))\/((-1)\/2) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -30, -42, 4 in descending order.\nAnswer: 4, 1, -5, -30, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-14) - (-19)\/((-1064)\/(-16)). Suppose -2*n + c*w - w + 107 = 0, 0 = -5*n - 4*w + 266. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 9*m - 2. Let t(n) = 23*n + 13. Calculate t(u) - 3*z(u).\nAnswer: -4*u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 339, 407, 479, 555?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*o + 188 = 36*o. Let l = 176 - o. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5033\/32?  (a) -3  (b) 3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jywywyywmwjmyqwwymy. Give prob of picking 1 j and 1 w.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 - 47 - 24147*w**3 - 2.\nAnswer: -24147*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - d - 2*d + 4 = 0, 2*d + 4 = 0. Suppose r*i + 15 = -3*s + 6*s, -s + 19 = -4*i. What is the units digit of (-2)\/i*(-5 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 8*t - 7*t - 2)*(-4 + 0 + 1).\nAnswer: -3*t + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -245, -491, -737, -983, -1229, -1475?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 14*r**2 - 59*r - 22. Calculate q(5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13281428 to the nearest integer?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 21 - 36 = -x, 163 = 3*j - 5*x. Suppose -j = -5*d - 6. Suppose 4 = -3*o + d. Solve 5*k + 20 = 0, u = -o*u + 4*k + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + -4 + 2 + (2 - (9 - 4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-96)\/(-80)*1\/((-4)\/(-2))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1883628 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -2*o**3\/3 - 5*o - 22. Let y(g) = g**2. Let w(v) = -f(v) - 3*y(v). Let p(a) = -3. Give -5*p(d) - 3*w(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - o**2 - 3*o + 2. Let k be y(2). Suppose -4*b + 145 + 107 = k. Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 727766*q*v - 68*q - 69965*v + 1643 wrt q?\nAnswer: 727766*v - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + l + 3 = 28, y - 9 = 3*l. Let d(f) be the first derivative of -2*f**2 - 8*f + 1. Let q be d(y). Calculate the highest common factor of 40 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -15, 210, 2\/43, -4 in increasing order.\nAnswer: -15, -4, 2\/43, 3, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p + 12. Let g be i(3). Suppose -5*a - 4*j = -4 - g, -4*j = -5*a - 30. Let s(l) = -409*l + 3. Is s(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 3479 + 3483 + r + 3*r - 3*r + r + 2*r - 4*r + 4*r + (r + 2 - 2)*(-3 - 2 + 4) + 5*r - 2*r - r - 2*r - r + 4*r)*(0 + 1 + 0).\nAnswer: 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 + 55029*s\/2 + 1459673.\nAnswer: -(s - 55082)*(s + 53)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-9) + 25\/(-55)*(-952)\/204.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + 7c6b0?\nAnswer: 7c6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(252)\/sqrt(6) + sqrt(42))\/sqrt(6) - (sqrt(252) - sqrt(252)*2 - sqrt(252)) - -4*(sqrt(7) - (sqrt(7) - sqrt(567)))*6*-5)*-3)**2.\nAnswer: 71590428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 133989.\nAnswer: 13398.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 165 + -69. Let l = -96.00047 + x. What is l rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.4  (b) 0.4  (c) -27  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**5 - a**5 + 0*a**5 + (-5*a**3 + 2*a**3 + 4*a**3)*(a**2 + 3 - 3) - 5 + 5 - 2*a**5 - a**5 + 2*a**5 - 2*a**5 - 5*a**5 - 5*a**5 - a**5.\nAnswer: -15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) + 5*sqrt(15))\/sqrt(3) + sqrt(15)\/(sqrt(3)*5) - ((sqrt(450)*1)\/sqrt(9))\/(sqrt(10) + (sqrt(40)\/(sqrt(4)*-2) - sqrt(10))).\nAnswer: 41*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001136 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-2*sqrt(1584) + -1 + sqrt(1584))**2 - sqrt(1584)) - (-4 + sqrt(99) + -1 + 2).\nAnswer: 9*sqrt(11) + 1592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 9:52 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-60)\/6)\/(15\/(-6)). Suppose -s*o - 45 = -13*o. Solve o*a - 21 = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o**3 - 11*o**2 + 29*o - 149. What is the hundreds digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82331999?\nAnswer: 6857, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.490628135 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2027 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9021686.\nAnswer: 2, 71, 63533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 90045?\nAnswer: 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*x + 19*x + 4, 3*j + 4*x = 65. Are j and 17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4048890?\nAnswer: 2, 3, 5, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 7799, 14559, 21317, 28073, 34827, 41579, 48329?\n\"Answer: -x**2 + 6763*x + 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1275018642 - 4.631.\nAnswer: 1275018637.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -852878, -852889, -852900, -852911, -852922, -852933?\nAnswer: -852944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 157, 177, 197, 217, 237?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 11:25 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4941*x**2 - 3 - 2*x**3 - 4941*x**2 + 3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.1  (b) -3  (c) -605895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14909*w**2 + 17 + 3*w**3 - 17 - 14913*w**2 - 36*w to the form n*w + z*w**2 + o + k*w**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggzz when four letters picked without replacement from {z: 2, g: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1931 times -110?\nAnswer: 212410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2741632.8 rounded to the nearest ten thousand?\nAnswer: 2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3*l = 8*x - 18, 0 = -3*x - 5*l + 14. Let o = x + -5. Let k = o + 7. Solve 0 = -3*a - 3*y + 3, 4*a + 15 = -a + k*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-6)\/9 + (66640\/(-12))\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.516813ml to litres.\nAnswer: 0.001516813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 1 + 207. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45151653 - 448058347. Round l to the nearest one million.\nAnswer: -493000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 58\/7 and 1\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of 77*z**5\/20 + 5*z**4\/12 - 746*z**3\/3 - 4398*z**2. What is the derivative of a(l) wrt l?\nAnswer: 462*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 209824 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 times -12.86?\nAnswer: 925.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 822 * -24434\nAnswer: -20084748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -30*z**3 + 3988*z**2 + 273*z - 987. Give y(133).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.12 - 0.12. Sort o, -0.25, -0.4 in ascending order.\nAnswer: -0.4, -0.25, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 18291, 18292, 18293?\n\"Answer: s + 18290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -865, -3541, -8011, -14281, -22357?\n\"Answer: -b**3 - 891*b**2 + 4*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 738287.\nAnswer: 11, 41, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**10*j**(-6\/5)*(j**(-3\/5)\/j)**(-2\/3) assuming j is positive.\nAnswer: j**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*((d*d**19*d)\/d)\/d*d)\/d**(-3))\/(d**(1\/11)*d)**(-4))**(1\/32) assuming d is positive.\nAnswer: d**(39\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and 53946.\nAnswer: 53941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**5\/20 - 25*x**4\/12 - 2*x**3\/3 - 26*x**2 - 2*x. Let o = -1771 - -1746. What is the units digit of b(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -214*a**5 + 232*a**3 - 163*a - 179 wrt a.\nAnswer: -4280*a**3 + 1392*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.813 - -3.705. Let k = 9.7 - g. What is k rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 + 35*g - 51*g + 13)*(4 - 4 - 2*g) to j*g + c + n*g**2 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {o: 1, h: 8, c: 2, b: 3, p: 1, l: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b1b (base 12) to base 4.\nAnswer: -310013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 25 + 1 = 2*x, -x + 2*a + 1 = 0. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (702\/(-19692))\/((-9)\/(-21)) and -13\/30.\nAnswer: 16410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - (2 - 2))*-6. Suppose -43 = -7*z + 13. Suppose 0 = 4*w + 4*n - 60, -z = -2*w + 2*n + f. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 101001011000110110?\nAnswer: -101001011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 11:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 26 - 4*q + 3*q.\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -105.871 + 106. Let h = y + -13.229. Let w = 13.10059 + h. Round w to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72\/14*906108\/603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 = -2345*g + 2337*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 4*a + 8. Let s be g(6). What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*p + 0 + 0 + (p - p + p)*(4 - 6 + 0) - p - 4 + 4.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**4\/5 - 186*z**3\/5 + 612*z**2 - 1080*z.\nAnswer: 3*z*(z - 30)**2*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -578170, -578184, -578208, -578242, -578286, -578340?\nAnswer: -578404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 446\/545 - 2\/109. Let z = -347.38 - -347. Which is the closest to -0.1?  (a) k  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.84928 + -0.15072. Which is the nearest to -2\/9?  (a) r  (b) 57  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2 - x - 9*x - 2. Let b(i) = 3*i. What is b(t(m))?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**5 + 2*l**4 - 20*l**3 - 20*l**2 + 18*l + 18 = 0. Calculate l.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 74*q**2 - 142*q + 224. Calculate a(-72).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 1:21 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 6 + 2. Let g be (-2)\/u - 28\/(-24). Is g != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 1104*r + 2234. List the prime factors of y(8).\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/4)\/((-4)\/(-8)). Suppose j*g - 3 - 3 = 0. Solve g*z = 2, -2*f - 2*z - 2 = -0*z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -257*c**3 - 127*c**2 + 2*c - 2. Let t(b) = 257*b**3 + 127*b**2 - 3*b + 3. Let z(w) = 3*f(w) + 2*t(w). What is the third derivative of z(s) wrt s?\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (459 + 1)\/((-32)\/15040). What is l rounded to the nearest one thousand?\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -4*n + 10*n - 26*n. Let y(a) = 2*a**2. Give l(y(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 2:36 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - -2. Let b(f) = -2*f**3 - 7*f**2 - 18*f - 34. Let n be b(-3). Suppose 24 = -w*q + n*q. Calculate the least common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/9)\/(1\/3). Let u be z - -2 - 211*29. Let m = -20118 - u. Round m to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -5*b. Suppose -4*k + 11 + 13 = b. Let n = -10 + 26. What is the smallest common multiple of n and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c73893 (base 16) in base 4?\nAnswer: -301303202103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1058 - 639. Let g = p + -356. Calculate the greatest common factor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 12 = -h. Let l be (h\/(-9))\/(1\/9). Let r = 53 - 38. Solve -l*d - 2*d + r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**6*h*h\/(h**(-1\/4)*h))**(-43) assuming h is positive.\nAnswer: h**(645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021868 rounded to five decimal places?\nAnswer: -0.00219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g. Suppose j = 3*j + 22. Let r(w) = -2*w**2 - 11*w - 11. Let z(y) = y**2 + 4*y + 4. Let f(b) = j*z(b) - 4*r(b). Determine f(o(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4adca3 (base 15) in base 12?\nAnswer: -12519a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30749\/42 - -3683\/6. Let k = f - -118. Let j = -2.3 + 2. What is the third biggest value in 3, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 14*z**2 + 2*z + 3 + 2*z**2 - 8*z**2. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9404492 + 9722836.96. Let u = 318327.960041 - o. Let f = -17 - u. Round f to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71 - 6. Let v = l - -129. Let m = 52.114 - v. What is m rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-2))\/(2\/(-4)). Let o(h) = h + 2. Let i be o(t). Let p = -43.6 + 44. Which is the closest to i?  (a) -4  (b) p  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 = -4*z - 27*b - 38*b - 14*b, -5*z + 0*z = 4*b + 184 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c. Let j(a) = 3*a**2 + 25*a + 40. Let p(n) = -7*n**2 - 56*n - 84. Let u(i) = -5*j(i) - 2*p(i). Calculate u(m(d)).\nAnswer: -d**2 + 13*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -9. Let c be (i + 2)\/3 - 0. Suppose 2*j - 9 - 55 = c. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i - 386 = -5*y - 13*i, 0 = -3*y + i + 235. What is the remainder when 103 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i**2 + 17*i + 4. Determine p(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 x, and 1 j when three letters picked without replacement from {p: 3, k: 1, q: 3, j: 3, x: 2, g: 2}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2206841 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: Let p(d) = -d**3 + 4*d**2 + d + 469. List the prime factors of p(-19).\nAnswer: 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44 + -40. Suppose -z = -v*z. Suppose 3*t = -z*j + j - 2542, 5124 = 2*j + 2*t. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*o**3 - 165*o**2 - 13280*o - 18 wrt o.\nAnswer: 186*o - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-515)\/25)\/((-2)\/230)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w - 2043101*w**2 + 10*w - 4*w.\nAnswer: -2043101*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + -0.1. Let l = 0.08 - 0.09. Let h = 0.11 + l. What is the third smallest value in -3, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - 0. Suppose 4 = -67*k + 63*k. Put 3, c, k in descending order.\nAnswer: 3, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 6 = -6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1339 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 - 9. Suppose -6 = -q - 2*q, 2*q + 108 = 4*d. Suppose 0 = -3*p - d + 16. Sort -3, p, n in decreasing order.\nAnswer: n, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 2*u + 6, 0 = -t - 2*u - 11. Let h be -3 - 1*t\/3. Suppose m = -m + 4, -2*r + 2*m = h. Calculate the greatest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*t**3 - 17259 + 17259)*(-4*t - 4 + 4).\nAnswer: -76*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 3*u + 8 = -5, 1 = -2*h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s + 2*c - 2, -2*s + 2 = 3*c - c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 1. Let q be d(2). Let k = -2.741 + -2.259. Put q, -3, 1\/3, k in increasing order.\nAnswer: k, -3, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 67 - 1252?\nAnswer: -1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/112349?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 823*r**2 - 1. Let t be d(1). Suppose 0 = 4*y + 4, -3*v = y + 70 - t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2141*y - 10. Let u(k) = 63159*k - 296. What is 5*u(b) - 148*x(b)?\nAnswer: -1073*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73905\/35 - (-288)\/(-504) is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 77 and -1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -2*l. Solve 5*a + 2 + 3 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11374 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i - 1. Let u(b) = -5*b - 4. Let g(a) = 4*n(a) - u(a). Let z(t) = -t**2 - 5*t**2 + 3*t**2. What is g(z(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 + 13*d**2 + d - 17. Let y be r(13). Which is the third smallest value?  (a) 0  (b) -0.5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/((v**20*v)\/v)*(v*v**14*v)\/v assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-3053\nAnswer: 915.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/5  (b) -4  (c) -57\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o = 3*o + 3522. Suppose w + l = 137, 160 = -3*w + l + o. Let u = 209 - w. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1148 - -1126. Which is greater: i or -252\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -37.45 and 28?\nAnswer: -1048.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -723 and -2\/51 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 453383*j**3 - 31444*j**2.\nAnswer: 2720298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 2:28 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1236 (base 10) to base 9.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of 749*j**5\/20 - 293*j**2 - 3698*j. Find the first derivative of l(w) wrt w.\nAnswer: 2247*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 9:37 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199 = 10*b - 199 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)\/((12\/(-18) - 0)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 67, 2, 510, -4 in ascending order.\nAnswer: -4, 2, 67, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -211244310 + -104.08\nAnswer: -211244414.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/3 + 5\/(30\/188). Suppose -4*n - 18 = -3*q, 5*q - l = 5*n - 6. Suppose 4*j + 242 = 2*g, 0*g + 4*g - 514 = -q*j. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -20, -6 in increasing order.\nAnswer: -20, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -911533, -911528, -911523, -911518, -911513, -911508?\nAnswer: -911503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 132.97 - 133. Let g = -13 + 15. What is the nearest to g in r, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {b: 1, g: 3, a: 3, t: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 184371*s**3 + 18403*s.\nAnswer: 1106226*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 16*c**3 - 2*c**2 + c. Suppose 7 = 3*b - 8, 5*j - 3*b + 10 = 0. Let f be r(j). Solve 2*l - f = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = -87 + 72 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -22976 and 34548.\nAnswer: 11572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 600 and 1920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 13*r - 51. Is 6 a factor of i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 335722, 671442, 1007162?\n\"Answer: 335720*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17\/35 - 2\/7. Let y(z) = -z**2 + 4*z - 3. Let i be y(3). Suppose i = -3*w + 15, -5*b - 4*w + 3*w = -10. Is v < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-7 - -8) - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 + -1118\/31. Let j = 35\/4 - 9. Sort 0.4, j, l in decreasing order.\nAnswer: 0.4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -132 + 222. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 28589.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 1050 - 2810 = 0. Let l = -5498\/25 - o. Which is the closest to 0.1?  (a) 5\/4  (b) 4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -485*o**3 + 483*o**3 - 6095*o**2 + 2*o + 27386*o**2.\nAnswer: -2*o**3 + 21291*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5*(-5 + sqrt(13)) + 2 + 3).\nAnswer: -60 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -156*p - 23. Determine v(-1).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/5, -14\/3, -0.3, -197, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22710 - -22717. What is the greatest common factor of p and 2429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)\/t)**(-1\/62) assuming t is positive.\nAnswer: t**(3\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(192)*-6 - (-1 + sqrt(192)*-4).\nAnswer: -16*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/746880 and 59\/1643136.\nAnswer: 8215680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l - 27 + 73 - 22 - 23. Let h(a) = -7*a - 4. Calculate h(d) + 3*p(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - 9.00000026. What is a rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37 + -18 + -6 - (2 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(4\/9)*r))\/(r\/(r*r\/((r**5*r)\/r)*r)))**27 assuming r is positive.\nAnswer: r**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1868340 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 - 29 = 21*a + 33 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -813 + 813.1. Let r be 1*-1 + 3 + 2. Let v = 3 + -2. What is the nearest to v in r, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-40)*2)\/((-3)\/((-24)\/(-58)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 420\/(-36)*276\/(-10304)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 3*o = -5*o - 7, 3*k + 4*o = -17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (63\/(-21))\/(-4 + (-52)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-24)*((-570)\/20)\/(-19). Are 31 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 m, and 1 z when three letters picked without replacement from {m: 5, z: 7, g: 3, i: 2, l: 3}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ck when two letters picked without replacement from khkhkkkkhhkhkckhhkkk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -650 = -b + 3*s, b + 2*s - 644 = 3*s. Suppose -4*f - 193 = -b. Suppose -f = -3*i - 5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, a: 7}. What is prob of picking 1 a and 1 d?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 24  (c) 0.5  (d) -1.654  (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*a**4 + 64*a**3 - 364*a**2 + 304*a + 144.\nAnswer: 4*(a - 2)**2*(a + 9)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u**2. Let r be 2*(84\/(-8))\/(-7). Let z(i) be the second derivative of -i - 1\/3*i**r + 0*i**2 + 0. Give a(z(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((497 - 485) + (7 - 1) - 46) + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7283730 by -75090.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 10 = -z, -2*t + 2*z - 10 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/(-49) + 2\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**3 - 108*m**2 - 1018*m + 7517. Calculate c(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - (-2 + 4)) + 893\/(-10). Let r = -92 - u. Which is the nearest to -1?  (a) r  (b) -0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3145798908 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4501254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 + 5. Let o(v) = -4*v + 12. Let h be o(3). Let j = g - h. Sort j, 0, 4.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53 and 6784?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1010101110 (base 2) to base 12\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165*y**3 - 157*y**3 - 148*y**3 + 42*y**3.\nAnswer: -428*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-1.103.\nAnswer: -0.2206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 1\/132*x**4 + 22*x**2 - 6 - 2\/3*x**3 + x. Suppose t(w) = 0. Calculate w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 4*b = -6, o + 0*o = -2*b - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m + 5. Let y = -9 - -14. Suppose -4*c - 3*g = 31, 0 = 2*c + 5*g - y + 38. Let p be o(c). Let b(w) = -4*w**2 + w. What is b(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 6*u - 8. Suppose o + 2*t + 4 = 0, -u*o = -0*t - 3*t - 6. Solve -m - m + 10 = o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of y**6\/120 - y**5\/12 + y**4\/4 - y**3\/6 + 7*y**2. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 6:04 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 8*x**3 - 10*x + 5. Let q(j) = 7*j**3 - 9*j + 4. Let l(i) = -7*q(i) + 6*u(i). Let v be l(-2). Suppose t - v = 1. Which is smaller: 4 or t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*d - 184. Suppose -3*h = -f + 49 + d, -4*h - 12 = 0. Suppose 0 = -2*s - 0*s + f. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w. Let z(h) = 1998 + 19*h - 1997 + 32*h. Calculate j(z(k)).\nAnswer: -102*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-714)*-17*8\/100?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 7. Suppose 2*q = 3*q - v. Suppose q*u = -6*u - 48. Sort -5, 0.2, u in decreasing order.\nAnswer: 0.2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**3 + 36*l**2 + 62*l + 7. Let a(v) = v**3 + 12*v**2 + 21*v + 2. Let x(t) = -11*a(t) + 4*q(t). List the prime factors of x(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*l - 6 = 2*h, -4 = -2*h - l. Calculate the remainder when 2 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k\/(k\/(k**(-14)*k)))*k\/((k*k**(-11))\/k*k) assuming k is positive.\nAnswer: k**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -164 - -175. Suppose d + h = -5*b + 5, 3*d - 22 = 5*b. Solve 3 + 5 = 5*w + 2*u, 16 = d*w + 4*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -59.3515353 rounded to two decimal places?\nAnswer: -59.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 + h. Let z be b(-1). Suppose 0 = -n - 10 - z. Let m = n - -50. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**3 - 5*d**2 - 5*d - 4. Let a be y(-4). Let j = a + -24. Let b = -21 + j. What is the remainder when 53 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lyggyyggjg. What is prob of picking 1 g and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 513803.8999?\nAnswer: 513806.8999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**4 + 166*b**3 - 2166*b**2 + 8730*b - 11016 = 0. What is b?\nAnswer: 3, 9, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n + 7. Let i be q(-7). Suppose -8 = -2*v, 4*h + h - 4*v + 6 = i. Solve -4*s = -h*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-36)\/(-15))\/(9\/15 - 0). Sort -1, 3, g, -8 in descending order.\nAnswer: g, 3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v. Let z(i) be the third derivative of -23*i**4\/12 - 2*i**2 - 605. Calculate w(z(g)).\nAnswer: -138*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ycyycyyyccccccyccycy. What is prob of sequence yyyy?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 6*h - 5*h)*(0*h**2 + 2*h**2 - 5*h**2)*(h**2 - 4*h**2 + 2*h**2).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 + c. Let l(b) = 3*b**3 + 3*b**3 - b - b**3 - 4*b**3. Give -4*l(n) - 5*p(n).\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) -1\/928  (b) -1\/3  (c) -186  (d) 0.07  (e) -2  (f) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 494928 by -6.\nAnswer: -82488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-8 - (-6 + 5) - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 50489 and 187193.\nAnswer: 237682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 40475.81?\nAnswer: -80951.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/7, -0.2, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -3*s + 27, -z - 4 = -5*z. Let b be ((-2)\/4)\/(s\/16). Which is smaller: b or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w + 9. Let p be d(9). Let q be 15*2*15\/p. Let c = 99 - q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, z: 2, d: 1, m: 2, x: 1}. Give prob of sequence md.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from ungngungnlgggg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**2 - 2*w**2 + w**2 + (-w**2 + 0*w**2 - w**2)*(-1 - 2 + 1) + w**2 + 5*w**2 - 4*w**2 - w**2 - 2*w**2 + 0*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4953*k**3*l + 4623*k**2*l - k**2 - 13*k*l + 23292423*k wrt k.\nAnswer: 29718*k*l + 9246*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -13262581.\nAnswer: 66312905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 5501960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1770 divided by 1?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1538888, 1538935, 1538982?\nAnswer: 1539029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 139 + 23. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 m, and 1 e when three letters picked without replacement from {j: 5, e: 1, m: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**3 - u + 1. Let n(j) = -5*j**3 - 35*j**2 - 3*j - 144. Let w(s) = n(s) + 4*o(s). Let h be w(32). What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 6*c - 5. Let t(a) = a**2 - 24*a + 22. What is -9*h(i) - 2*t(i)?\nAnswer: -2*i**2 - 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 6*z + 6 + 0*z + z - 3*z + (-2 + 3 + 0)*(3*z - 2*z - 4*z) in the form b + h*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + r**2 - 3*r + 2. Let p be z(2). Let q be 0\/p - 5\/(-1). Solve 0 = 2*t + q + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-51)\/510)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-315420)\/720 - (-1)\/12. Let b = i - -442. Calculate the remainder when 9 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + f - 1023 = 0, -2*f = 4*b - 3*f - 2037. Suppose 2*q - 254 = -2*v - 38, -5*q = -v - b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 41\/13 + (-30)\/195. Factor 6*m**4 - 100*m**3 + 50*m**w + 35*m**2 - m**4 + 75*m**3 + 15*m.\nAnswer: 5*m*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - w - 20, -2*i - 4*w + 5 = 15. Let p be 2*((-6)\/(-3) - 6\/4). Sort 0, p, i.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2. Suppose -f - 5*z = 2, f - 4*z + 32 = 6*f. Let x = -5394.2 - -5394.4. What is the nearest to n in 5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**2 - 2*z - 6. Let b be g(-7). Let x = b - -65. Solve -12 = -3*h, 0*h + x = -3*y + 3*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ypw when three letters picked without replacement from {b: 1, w: 4, p: 3, y: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -3 + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tlhh when four letters picked without replacement from lllllhlllllllthlllhl.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 p, and 1 h when three letters picked without replacement from {p: 5, a: 5, h: 8}?\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**5\/30 + 5*y**4\/24 - y**3\/6 + 3*y. Let v(u) be the second derivative of j(u). Differentiate v(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -688*m - 4847*m**3 - 696*m + 1384*m + 4842*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = b - 126. Let k be 2\/b - (-39)\/(-91). What is the closest to k in 1, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.9 - -1.4. Suppose 5*s = -4*h + 5, 2*s + 3*h = s + 1. Which is the nearest to s?  (a) 2\/15  (b) -1\/3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + l - 17 = 0, -t - 4*l - l - 13 = 0. Factor -4*v**3 - 4*v**4 + 2*v**4 + 14*v**3 + t*v**4 - 5*v**5.\nAnswer: -5*v**3*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2290889 divided by 12\nAnswer: -2290889\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide (399 + 8 + 0)\/(2\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 + 32*f - 864. Calculate h(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 28420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1544 = 3*b - 4*n, -2*b = -b + 4*n - 536. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s + t + 2, -5*s + 14*t - 28 = 10*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((sqrt(11) + -3)*-5 - (sqrt(704) + sqrt(44)))*-5)**2.\nAnswer: -11250*sqrt(11) + 67500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 12765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -474959 and -1899837\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 12, -3*g - 3*d + 18 = -18. Let j(z) = z - 13. Let u be j(g). Suppose 4*x + 15 = 3. Put u, x, -2 in descending order.\nAnswer: u, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 50\/(-1500)*-12 + ((-152)\/10)\/(-2). Let t = -1011 + 3354. Suppose 3*j + o*j - t = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 48*t**4 + 96?\nAnswer: 192*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -9*d + 8. Let -10*y**3 - y**5 + 0 - 15*y**4 + 4*y**d + 5 - 4*y**5 + 6*y**2 + 15*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4610\/(-3227))\/(50\/(-56)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 1862398 and 240259.\nAnswer: 2102657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23, -3, 0, 3, 8 in decreasing order.\nAnswer: 23, 8, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 8*z - 3*j - 285194, -2*z + 2*j + 71296 = 0. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of 4637*x**4\/24 - 103*x**3\/6 + 2*x**2 - 77. Let s be v(19). What is s rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 6*w + 2. Let y be j(-6). Suppose 16119 = y*k + 3*k + 4*z, z + 3222 = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -80*f - 1103 + 392 - 1219 + 325. Calculate i(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1599.2 + 1590.2. Which is the third smallest value?  (a) 0.6  (b) -1  (c) -4  (d) 2  (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*a + 8. Suppose a*p + 20 = -0. Let u = p + 15. Calculate the lowest common multiple of u and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 367601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -4*f - 13. Let j(c) = 2*c + 6. Let n(k) = 6*b(k) + 13*j(k). Let m(x) = -84*x + 7*x**2 + 84*x - 2*x**2. What is m(n(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3 - 32 = 0. Let p = m + 30. Calculate the smallest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1322 - 4*q + 2*q + 1313.\nAnswer: -2*q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 4*q = 50, -3*a + 4*q + 9 = 31. Calculate the common denominator of (-8 - (-390)\/50) + (-31 - -36) and (-3*2)\/((-9)\/a).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 42960514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/((-135)\/(-18)) - (-20)\/(-7). Which is the closest to 14?  (a) -3  (b) w  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z. Let n be (2\/(-7))\/((-5)\/35). Let h(s) = -s**2 + s. Let p(j) = -j**2 + 3*j. Let w(i) = n*p(i) - 6*h(i). Give w(k(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 + 30*i. What is m(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 7) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -49 or 3046?\nAnswer: 3046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 14449 divided by 1\nAnswer: 14449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4*n = 24, 0 = -5*p + 5*n + 3 - 18. Suppose -9*h = -14*h - p*m + 125, -4*m = -5*h + 95. What is the remainder when 88 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-3))\/(816\/(-11016)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -24*l**2 - 1131*l + 1165*l - 9*l**2 - 63 + l**2 + 2*l**3. What is g(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -582 - -663. Calculate the remainder when 309 is divided by z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -8 - 1. Suppose 0*y - 2*y + f*z = -162, 4*z - 364 = -4*y. Let x = -1688 - -1710. What is the remainder when y is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143143 and 605.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115, 48, -79, -266, -513, -820, -1187?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(52)\/sqrt(4) - (-1*sqrt(39)\/sqrt(3))**2.\nAnswer: -13 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15643\/8 - -1962. What is the common denominator of 63\/4 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 0, 4*m + x + 116 = -x. Let d be (2\/6)\/((-2)\/m). Suppose 0 = -5*a - 5*h - 5, -3*a + 3 = d*h + 16. Solve -g + k + 3 = g, a*g = 3*k + 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 46 = -4*t + 38, 3*t = -s + 63. Calculate the remainder when 157 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -2\/11, -0.5, -2\/183, 1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + (1*sqrt(468))**2 + -2 + ((sqrt(468) + 0 + sqrt(468) + 0)*-2)**2)*-1.\nAnswer: 39780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13770 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 900229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 7\/((-343)\/(-84))*98\/35*15\/(-6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104 = -82*k + 60 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) -81  (c) 391  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 383, -0.5, 3\/44, 4\/3, -21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 28, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -30, -28, -26, -24, -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -763 - -14495\/19. Let y(k) = -k**2 - k + 1. Let v be y(-1). What is the nearest to 0.3 in 2, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -5. Suppose 2*u - 9 + x = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 3988?\nAnswer: -11964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45321.61ug?\nAnswer: 0.00004532161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - 2*o + 5*o)*((-4*o - 4*o + 6*o)*(-o**2 + o**2 + o**3) + 0*o**2 - 2*o**4 + 0*o**2).\nAnswer: -24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 718677958 is divided by 7161.\nAnswer: 7159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -a**4\/4 + a**3\/2 + 3*a**2 - 6*a + 9. Let v(l) be the first derivative of u(l). Determine c so that v(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g**3 - 7*g**2 + 8*g - 14. What is t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 10*l**2 + 21*l - 8. Let x(y) = 2*y**3 + 21*y**2 + 43*y - 17. Let j(h) = 11*i(h) - 6*x(h). Let s be j(-14). Solve s*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*r - 3*o - 95, 5*r - 3*o - 164 = 0. What is the remainder when r is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000025141 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59781*j + 273 = 59742*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -38*j**2 - 4. Let q(o) = -4*o + 1107 + 1110 - 2217. What is m(q(l))?\nAnswer: -608*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108\/6 + 3360\/(-189).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.3  (b) 1\/3  (c) -0.3  (d) 10  (e) -0.32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y + 55. Suppose 0 = 5*v + 4*q - 17 - 3, 0 = v + 5*q - 25. Does 24 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -14 + 7 + 5 - 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 3*m + 75. Let y be r(-10). Let t = -26 - -368. List the prime factors of (-2)\/(-5) + t\/y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 71*v - 63*v + 518 = 2*h - 0*h, 5*v + 321 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 43869956 and 1212.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d**2*g + 73748*d**2 + 859725*d*g - 2*d + 2*g wrt d?\nAnswer: -10*g + 147496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -250 - -350. Let k = n + -97. Solve -k*z - 9 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1497567 is divided by 1696?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 6*d - 2. Suppose -2*i - 1 = -3*i, 3*i - 1 = u. Calculate l(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6755 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 433 - 431. Solve -d = 2*l - 9, 4*d - m = -2*l + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (0 - -2) + -73 + 78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does -54 = -17792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1aa3bc67 - -3?\nAnswer: 1aa3bc6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -31*m**2 - 4\/3*m**3 + 0 - 53*m + 1\/6*m**4. What is the derivative of u(p) wrt p?\nAnswer: 4*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, l: 1, r: 4, q: 1, x: 4, b: 2}. Give prob of picking 1 r and 1 x.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 457 and 695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1025973958, -1025973959, -1025973960, -1025973961, -1025973962, -1025973963?\nAnswer: -1025973964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 2, -7 in ascending order.\nAnswer: -7, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26624883.\nAnswer: 3, 2137, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -18 + 37 + ((-20)\/(-5) - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54317*q**2*t**3 - 2*q**2*t**2 + q**2*t + 15 wrt t?\nAnswer: 325902*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7896 divided by 1128?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n + 14. Let u(s) = s - 6. Let p(b) = -6*i(b) - 14*u(b). Let g(k) be the second derivative of -109*k**3\/6 - 82*k. Give p(g(x)).\nAnswer: 218*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7178, 14240, 21302, 28364?\nAnswer: 35426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 4.01. Let w = -0.01 + q. Let x(l) = 6*l + 47. Let s be x(-8). Put s, 0.5, w in increasing order.\nAnswer: s, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, x: 1, h: 2, e: 4}. What is prob of sequence hhe?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3509 = -1054*v + 1965*v + 31109 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((28\/7)\/12)\/((-26)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-77000026)\/(-7) - (40\/(-35))\/4. Let y be (-18)\/12*16\/6 + n. Round y to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**5 - 24*r + 3*r**5 + 24*r - r**2 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134827.\nAnswer: 7, 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/21*3*-1. Let f(u) = -u + 5. Let s be f(6). Which is the nearest to 3?  (a) j  (b) s  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/8 and -42\/7059587.\nAnswer: 56476696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + r + 15. Let h be a(-3). Calculate the highest common divisor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4348 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2083 - -5?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2*f - 28, -3*o - 2*o = -2*f. Suppose 5*l = -5 - f. Suppose -9 = c - 4. Which is greater: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -19 + (-117 + -8 - -102)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -618bb - -9?\nAnswer: -618b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 153 and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1863, -4, -1 in decreasing order.\nAnswer: 1863, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (15*h - 16*h + 23*h**2 + 3*h)*(0*h**2 + 2*h**2 + 0*h**2) to the form r*h + k*h**4 + d*h**2 + x*h**3 + f and give k.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 5 + 2*q + q + 3*q.\nAnswer: 6*q + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-3)*299\/3588)\/((-8)\/81)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 8:30 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by (33 - (-12)\/(-4)) + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + 13\/3)\/(30\/(-540)). Let t = a + 246. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 238 and (532\/60 + -9)*-75.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4199 and 0.5.\nAnswer: -4198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -k*s**2 + 3570*k*s - 42*s**2 wrt s?\nAnswer: -2*k - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {r: 6, d: 1, w: 3, s: 7, b: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 204012 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 6 = 2*l, 3*y - 275 + 243 = 4*l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a0d (base 16) in base 8?\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 13 - 16)*(-2 + 1 + 3)*(-3*z**4 + 5*z**4 + z**4).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21676893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 906 divided by 13779.\nAnswer: 302\/4593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1221200011101 (base 3) to base 6\nAnswer: 34115444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 122 - 1272711?\nAnswer: -1272567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*h - 81, 5*h + l = -40 - 169. What is the tens digit of (-57)\/(7\/2*9\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.12 times 3\nAnswer: 21.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 2\/103  (b) -2\/7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*h - 2 - 3 + 4)*(-149074*h + 149113*h + 6 - 33) as c*h + k*h**2 + v and give c.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -162 - -184. Calculate the smallest common multiple of o and 538.\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137343*r + 57872*r + 180433*r - 36626*r.\nAnswer: 339022*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -26, -64, -102, -140, -178?\n\"Answer: -38*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*k**2 - 102*k**2 + 18*k - 9*k - 9*k.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.1 + 0.1. Let l = v + 10. Let g = 10 - l. Which is the closest to 1?  (a) g  (b) -0.1  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -1, -6.\nAnswer: -6, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1178 is divided by 386?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 81*c - 139. Let t be f(9). Suppose 3*r - t = 2*g, 3*r + g = 5*r - 395. Let k = -16 + 56. What is the highest common divisor of r and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/45*(-6)\/(48\/8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 3) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i + 14. Let v(s) = -s + 5. Let f(h) = 2*l(h) - 7*v(h). Determine f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*p + p - 33*p**2 - 14*p.\nAnswer: -33*p**2 - 41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**3 - 8396*l**2 + 216072*l - 995040 = 0.\nAnswer: 6, 20, 2073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42533, -170128, -382795, -680540, -1063369, -1531288?\nAnswer: -2084303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8100 and 1648.\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -34297224, -4, 5 in ascending order.\nAnswer: -34297224, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 1676179*t**2 + 2*t - 1676178*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*o**2 + 21*o**2 + 9*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.491 to 2 decimal places.\nAnswer: 5.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of i**6\/10 - 3*i**5\/5 + 3*i**4\/4 + 19*i - 15. Let d(v) be the first derivative of u(v). Solve d(m) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -809\/172 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = f + 2*l, 0*f - 3*f = 3*l - 3. Suppose -w - 35 = f*w. Let h = w - -24. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {o: 2, t: 1, m: 1, d: 11, g: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3000 and 128600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**2 - 13*d - 41. Let f be i(6). Does 10 divide (6 - (-476)\/(-77)) + (-10067)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24586 - 2986. Calculate the greatest common factor of 48 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = i + 4*j - 7, 0 = 2*j - 8. What is the third biggest value in 3, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o. Let t(c) = c - 5. Let b(k) = 1. Let a(m) = -10*b(m) - 2*t(m). Let j(s) = 2*s**2 - 12*s - 118. Let i be j(-5). Calculate i*a(f) - 5*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -33 - -38. Suppose y - 5*y + 12 = 0, -r*d + 2*y = 1. List the prime factors of (52 + 1)\/(-4 + (6 - d)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 h when three letters picked without replacement from {h: 15, k: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 3*h = j + 3, 14 = 2*j + 2*h. Let p be 4\/(4\/(-3)) + j. Calculate the highest common divisor of p and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 336 + -330. Suppose 2*v - m - 1434 = 0, -5*m = -u*v + 10*v - 2868. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2*k + 5255, -2*y - 3*k = -3*y + 5270. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from zcbzb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-20)\/(-2))\/((0 - -5) + -6). Let y(o) = 2*o + 33. Let i be y(c). Calculate the remainder when 2\/(-13) - -431*1\/i is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/7 + 260*w\/7 + 258\/7.\nAnswer: 2*(w + 1)*(w + 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**2\/2 - 4122*t - 269874 = 0. What is t?\nAnswer: -8178, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 2. Let x(k) = k + 52. Let p(z) = 6*c(z) - x(z). Let n be p(-8). Calculate the greatest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 120*s**2 - 65*s**2 + s**2 + 16 - 54*s**2 - 6*s. Give b(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 5:58 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 6*h**2. Let j(t) = 9*t. Let p(f) = 8*f. Let s(i) = 3*j(i) - 4*p(i). Calculate g(s(n)).\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -210013232130?\nAnswer: -210013232131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40359723*c**3 + 195*c + 31101 wrt c?\nAnswer: -242158338*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -100, -341, -806, -1567, -2696?\nAnswer: -4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h**2 - 23*h - 133. Let m be v(17). Suppose -3824 - m = -8*g. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9560232 - 17824578. Let w = k + 3464346. Round w to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 41574300.\nAnswer: 41574300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34 and (-3)\/((-18)\/(-4)) + (-136)\/(-6).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (11 - 5) + (308\/(-316) - 5). What is the third smallest value in a, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + (2 - (3 + -7)). Suppose -5*w = 4*q + c - 35, 2*q - 3*w - 4 = 0. Suppose 0 = 4*a - a - v - 139, q = v. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -1)*8\/42.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 3*p**2\/4 - 220857*p\/2 - 4859217\/4 = 0.\nAnswer: -11, 147249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -435, -1051, -1847, -2817, -3955, -5255, -6711?\nAnswer: -8317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*h - 78*h = -26*h + 5152 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 64*y + 81*y - 183*y + 40*y. Let d(p) = 12*p**2 + 5*p + 23. Calculate d(h(o)).\nAnswer: 48*o**2 + 10*o + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -684 + 684 + 63*c to d*c + v and give d.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from {y: 9, u: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11306 + 33913\/3. Which is the fourth smallest value?  (a) -2\/7  (b) -0.4  (c) h  (d) 0.1  (e) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b9 (base 15) to base 12.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 285144 is divided by 2107?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1102, 1131, 1100, 979, 738?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5*y**2 + 6*y + 3. Calculate q(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -435, -1751, -3945, -7017, -10967?\n\"Answer: -439*u**2 + u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7297359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -674567, -674594, -674639, -674702, -674783?\nAnswer: -674882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1278424025024 + 1278424025024 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 88\/72 + (-4)\/18. Let v be (5 - i) + (-205)\/(-5). What are the prime factors of 3\/(v\/906) + 8\/(-20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*(-4 + 95\/30). Let w(h) = 9*h**2 + 2*h + 2. Let t(o) = -19*o**2 - 4*o - 4. Let a(s) = y*w(s) + 2*t(s). What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-9)\/(z**(-3\/7)\/z))\/(z**(1\/2)\/z**(-19)))**(2\/11) assuming z is positive.\nAnswer: z**(-379\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-2 + 0) - 1. Let v = 10 + w. Let u(n) = n - 2. Let c be u(v). Solve c*x + 2 = -4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 190*u - 2279. Calculate i(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {f: 10, c: 3, r: 3, z: 1, e: 3}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + w + 10 = 0. Suppose -w*l = -6*l. Suppose l = 5*o - 28 - 42. Calculate the least common multiple of o and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -340334 (base 6) to base 12.\nAnswer: -146aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26826450, 26826449, 26826448, 26826447, 26826446?\nAnswer: 26826445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - q - 3*q)*(-4 + 1 + 4 + (-3 - 1 + 5)*(4 + 0 - 2) + (3 - 3 - 2)*(2 - 3 + 3) + 3 + 4 - 5).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 290, 308, 326, 344, 362, 380?\n\"Answer: 18*n + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 348*o + 10. Let z be w(1). Let n = 373 - z. Calculate the lowest common multiple of 180 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -d - 13394 + d + 22*d**2 + 13395 as k + g*d + h*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 499.2625 minutes to microseconds.\nAnswer: 29955750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2299, -9188, -20671, -36748, -57419, -82684, -112543?\n\"Answer: -2297*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(204) - (sqrt(204) - -6*((sqrt(204) - sqrt(204)*2) + sqrt(204))))\/(2*(sqrt(12)*1 + sqrt(12)) + (sqrt(12) - (-2*sqrt(12) + sqrt(12)))*2).\nAnswer: 11*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 28, 350, 396, 2, -2.\nAnswer: -2, 0, 2, 28, 350, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**2 - 1. Let t(g) = -2*g**3 + 6*g**2 - 5*g - 5. Give 2*p(j) - t(j).\nAnswer: 2*j**3 - 2*j**2 + 5*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*c - 36*c + 44 - 32)*(3 + 4 - 6)*(-2*c**2 - c**2 + c**2).\nAnswer: -4*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 229971647?\nAnswer: 61, 101, 163, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 204897215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 990792706.\nAnswer: 2, 53, 9347101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -12*l**3 + 2*l**2 + 4*l + 3. Determine m(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36268 is divided by 317?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4403.4 plus -145?\nAnswer: -4548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 387*f - 28265. Calculate s(73).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 179948052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-20)\/(-6)*15\/10. Suppose 0 = -p + f*a - 6, -p + 5*p = 3*a + 61. Let i = p - 9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -5*v**5 + 70*v**4 - 105*v**3 - 220*v**2 + 500*v - 240 = 0?\nAnswer: -2, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -10 + (-16 - -18) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 32389747.5 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/23, 0.9453, 33, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -501a + 4?\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 8*s**2 + 9*s + 12. Let u be a(6). What are the prime factors of (0 + 200)*(-5)\/24*u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -5 - 23. List the prime factors of (10 + -5)*l\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.04 - -0.04. Let j = -30 + 26. Which is the closest to 1?  (a) j  (b) 3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (30 + -14 - 12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-1 + 3) - -67. Suppose 0 = 4*p - 3*p - n - m, -2*n - 282 = -4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + 4*z**2 - 3*z. Suppose 16*o + 36 = -28. Let w(c) = 2*c**3 + 5*c**2 - 4*c. What is o*q(y) + 3*w(y)?\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + -21 - (-1 + (8 - -40)) - 3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -275 + 393. Let r = 29 + -56. Let x = r + c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-24)\/72*3\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = -11*z - 2. Is 56 - 8\/z*1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/8)\/(2*4\/(-160))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 62, 1\/5, -5\/8, 1, -0.6, -1\/4 in descending order.\nAnswer: 62, 1, 1\/5, -1\/4, -0.6, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from qkkkkkkk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-8 - -17) + -8 + 1 + 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -8, 0, 2\/3 in increasing order.\nAnswer: -8, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 5*l**2 + 6*l + 10. Give q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 0, 19, -3, -1 in decreasing order.\nAnswer: 19, 0, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 107*u**2 - 495*u**4 + 7*u + 1 - 2*u**3 - 109*u**2 + 352*u**4 - 1 to c*u**4 + w + n*u**3 + j*u**2 + v*u and give c.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 56 = -6*u. What is the remainder when 20 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 8 = 3*q - 48, x = 2*q - 39. What is the greatest common factor of 440 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, f: 4, k: 3, j: 2}. Give prob of sequence kff.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -161025 - -2794.\nAnswer: -158231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3*f**3 + 21*f**2 - 23*f + 4. What is m(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1088 and 917568.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 - (28 - (20 + (-35 - -36))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2845562.\nAnswer: 2, 17, 127, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5\/(4 + (-201)\/51)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3672\/1520 + (-4 + -3 - -4) and -41\/30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 117636, 117630, 117624, 117618?\nAnswer: 117612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*q**2 + 15*q**2 + 9*q**2.\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9009 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -2\/9  (c) -8  (d) 3  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 + 9. Suppose -4*l - 21 = -3*l. Let d be l\/(-7) - (0 + 1). Sort d, -5, c in ascending order.\nAnswer: -5, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, q: 3, w: 6, x: 5, z: 3, n: 2}. Give prob of sequence qz.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 18 - 13 + 7*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -2*w**5 + 390*w**4 - 25296*w**3 + 627896*w**2 - 6399744*w + 21805056 = 0?\nAnswer: 7, 16, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121814277 is divided by 2520?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 6 = -2*u, 2*p + 1 = 5. Suppose -5*q = -3*o - 16, 0 = -2*q - 5*o + 2*o - 2. Let l be ((-1)\/u)\/(q\/6). Solve l*s = 4*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60812*i**4 - 5285*i**3*o - i**2*o + 4358164*i**2 + 77*o wrt i.\nAnswer: -1459488*i - 31710*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1584)*2)\/sqrt(4) + 1)*4.\nAnswer: 12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61942645 divided by 85.\nAnswer: -728737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 8, f: 3, y: 3, g: 1, i: 1, j: 3}. What is prob of sequence yity?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 48743510 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 136 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -264384, -528164, -791944, -1055724, -1319504?\n\"Answer: -263780*y - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7901 + -7878 - (0 + 1 - -66).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 181235.8 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.76694 - 0.45924. Round g to two decimal places.\nAnswer: 3.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/(-21) + 0 + 218\/14. Suppose -y = -4*m, -w = 2*m - 17 + 2. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5427 and 27.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 3*x - 9, -2*x + 0 + 2 = 4*i. Solve 3*z + 3 = 4*l, 2*l = -5*z + 2*z - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/47650 and -45\/101018.\nAnswer: 2525450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48382 + 24045866\/497. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z. Let l be g(6). Let o = 110 - 107. Let j = o - l. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 5*a + 7. Let t be 192\/(-30) - (-1)\/10*4. What is w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 140 + 15132?\nAnswer: 15312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7 + -5 + (-4 - (0 + -2)). Suppose 61*n - 65*n + 36 = p. Let m(r) = 3*r**2 - 4*r - 8. Is m(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 7 = -3. Let k be (2 - 2)\/(1*-1). Suppose n + 3 = -k*n. Put n, 3, z in descending order.\nAnswer: 3, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 4*v + 2*c, -6*v - 3*c = -7*v. Solve 0 = d - f + 6, 0*d - 3*f = -d - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 7:55 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5544 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3401093 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -400 + 478. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p + 4. Let f(s) be the second derivative of -s**3\/6 - 3*s**2\/2 - 4*s. Suppose -j + 5*j = 4. Let w be j\/((-3)\/(-4) - 1). Determine w*l(y) - 6*f(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - ((4 + 2 - 3) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**2\/4 - 8559*s + 6470079.\nAnswer: 3*(s - 10598)*(s - 814)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 477978373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 divided by 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*t - 37 + 37 + (-3*t - t + 3*t)*(-3 + 0 + 1) + 0 - 3*t + 0)*(-1 + 1 - 2*t).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + b - b)*(-2*b - 1 + 1)*(12*b + b - b).\nAnswer: -48*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 536606947 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-40)\/(0 + 5\/(-10)). Suppose 16*c + l = 20*c. Differentiate -c*w - 2 - 17 + 32 with respect to w.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 1. Let w(f) = 8 + 6 + 6*f - 6 + 5*f**r. Let h = 160167 - 160172. Let x(j) = 3*j**2 + 4*j + 5. What is h*w(m) + 8*x(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120122212221101 (base 3) to base 7.\nAnswer: 130515166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = f, -2*f + 0*f + 14 = 4*r. Suppose -2*j - 10 = -3*i - 0, -r*j - 6 = 0. Solve -2*l + 4*l + 6 = -i*o, 0 = -2*o - l - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15141830 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 5*v. Suppose -r - 406 = -395. Suppose 5*k + 17 = -3. Let a(o) = -2*o. Calculate k*x(l) + r*a(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218139?\nAnswer: 3, 19, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1118 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -21*j + 1239. Let i be y(59). Which is the nearest to -1?  (a) 4  (b) i  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 52  (c) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 2*w. Let a = 2 - w. Find the third derivative of 3*i**6 + 3*i**2 - 2*i**a - i**6 wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 - -13) + (3 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f**2 - 3*f. Suppose -11 = -5*l + 2*l - 2*w, 3*w = -3*l + 12. Suppose l*x = x + 4. Calculate the least common multiple of 20 and h(x).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 20*1*(3 + -2). Let r = q + -13. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n - 3*n + n)*(4 - 4 + 2*n) + (4 - 4 + 3*n)*(-4*n + 2*n + 3*n) to the form f + d*n + t*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -9*c + 3. Let x(s) = -9*s + 4. Let m(y) = 4*p(y) - 3*x(y). What are the prime factors of m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 105430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 3*g + 2, -18 = -156*g + 163*g + 2*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118, 494, 1134, 2032, 3182, 4578, 6214?\nAnswer: 8084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 1, -5, 128, -4.\nAnswer: -5, -4, 1, 16, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from qtqtttqtqqtt?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 120668837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/6325 and 33\/25.\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r = -6*r + 24. Let h be -4 + (r\/(-1))\/(30\/140). Suppose 3*z - g = 26, -z + 28 - h = 2*g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(17) + sqrt(272))*5)**2 + 0)*2.\nAnswer: 21250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -1838492*g**3 - 11030944*g**2\/3 + 16*g\/3 = 0?\nAnswer: -2, 0, 2\/1378869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 12*k + 38. What is the remainder when m(-11) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 9.994. Let c = x - 0.11. Round c to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tabuftfn. What is prob of sequence tu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 45*k - 8. Calculate t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g - 6*g + 17*g + g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from snnnssaxjaxxfassx?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b - 1. Let y(c) = 21*c - 57*c - 9 + 21*c + 23*c. Let n(m) = 18*d(m) - 2*y(m). Suppose 2*o + i = -2 - 2, -3*o - 16 = -i. Calculate n(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 4:58 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*m + 279 = 104. Let s = -2 + 13. Let n(p) = p - s*p + 4*p + 4 + 8*p. Calculate n(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1948, -3556, -5164?\nAnswer: -6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 3, -0.5, 42?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 4*r - 24 = 0, r = -4*a - 5 - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/105  (b) 0.2  (c) 4  (d) 1\/3  (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f - 4 = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 38*a**2 - 158*a - 2458. Determine i(-14).\nAnswer: 7202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 420192 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14998661 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3426707237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 5*h - 2. Let z be s(2). Let m = -5 + z. What is the units digit of (3 + -5)\/(m + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 297, 593, 885, 1173, 1457, 1737?\n\"Answer: -2*j**2 + 302*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 3*m**2 - 5*m - 6. Let z be g(-4). Let q be z + 0 + 5 + -1. Let f(p) = -q*p**2 + 4 + 3*p**2 + p + 2*p. Give f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 7:47 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 141833 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 12:54 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -4. Let z be 0 - (-1 + u + 2). Let m(q) = q**3 + 7*q**2 + 6*q. Let n be m(-6). Put n, z, 1 in increasing order.\nAnswer: z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 + 12*h**2 - 53*h - 371. What is y(-9)?\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -239813, -479645, -719515, -959441, -1199441, -1439533, -1679735?\n\"Answer: -3*x**3 - x**2 - 239808*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 475 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/((-1125)\/(-12)))\/((-148)\/370).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001775734 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in -35, 237, -1\/137?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 410\/(-4) + (-18)\/12. Let y be 13\/p + (-46)\/16. Does 19 divide (76\/(-12))\/(1\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5480058.\nAnswer: 2, 3, 101, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from miiyiyiiiiyyiqnnni. Give prob of picking 1 n and 1 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78 + -311\/4. Which is the third smallest value?  (a) k  (b) 0.4  (c) -0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91123.06 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -527.74 times -2?\nAnswer: 1055.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = 6*v - 2, -79*v - 4 = 2*u - 81*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50544 divided by 4945.\nAnswer: 50544\/4945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 205274*o**2 - 68149*o?\nAnswer: 410548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/530 and -13\/9328.\nAnswer: 46640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 5*b**3 + 11*b**2 - 11*b - 11. Let z(t) = 6*t**3 + 10*t**2 - 12*t - 12. Let s(f) = -4*k(f) + 3*z(f). Give s(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/3 - (-26)\/(-6). Let q be ((-60)\/(-24))\/(9 - 115\/10). Put v, 8, q in descending order.\nAnswer: 8, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b**5 + 0*b**5 - 4*b**5 + (0*b**4 + b**4 - 2*b**4)*(4 + 2*b - 4) + (-3 - b + 3)*(2*b**4 + 2 - 2) - 6370*b**3 + 6370*b**3 + 33*b**5.\nAnswer: 23*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-35)\/(-6) + (-3)\/(-18). Let o(i) = -b*i - 2*i**2 + 7*i - i. Let n(w) = -4*w**2. What is n(o(a))?\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -2*t - 40. Suppose -24 = -17*u + 5*u. Solve -u*m + 10 = -5*d - m, -5*d = 3*m - t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -164.2 and -1529.1?\nAnswer: 1364.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 62500*u**5 - 108345000*u**4 + 56297300*u**3 + 43667056*u**2 + 7874496*u + 443648 = 0.\nAnswer: -4\/25, 1, 1733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**3\/3 - 13*k**2 - 67*k - 85. Let j be z(-3). Solve 4*n - 3*n - j*o = -10, -5*n - 10 = -2*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 23\/2, 0.1, -2, 27.\nAnswer: -2, -2\/13, 0.1, 23\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1040 + 1305. Sort -4, -2, o.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 7 = 3*d, 10*d - 39 = -1034*j + 1033*j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5*t + 28 = 9*t, 2*p + 4*t - 76 = 0. Solve 22 = -4*j - o, -p + 17 = 5*j + 3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k + 23*k**2 + 200 - 209 - 12*k**2 - 5*k to the form f*k + d + p*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 11. Suppose -4*k - l = k. What is the units digit of (-1)\/(1\/k)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(-15) + (-2)\/(-10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 0 + -4 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**5\/7 - 270*i**4\/7 - 4204*i**3\/7 - 3296*i**2 - 49344*i\/7 - 30208\/7 = 0.\nAnswer: -118, -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (11 + -6) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25\/10*(-3 + -203)\/(-1)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t**2 - 17*t**2 - 3*t**3 - 16*t**2 + 63*t**2 - 16*t**2.\nAnswer: -3*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -1, 1592, -72, 13 in descending order.\nAnswer: 1592, 13, 0, -1, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 3*b + 3. Let f be s(-2). Let p be (-200)\/(-30)*1\/((-2)\/f). List the prime factors of 150 + ((-30)\/25)\/((-4)\/p).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-55)\/30 - 1\/6. Let p be 698\/(-2) + 1 + b. Does 20 divide (1\/((-15)\/18))\/(21\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - -23. Let v = k + -29. What is the third derivative of -12*o**2 + 1438*o**5 - 1417*o**5 - 1 + v wrt o?\nAnswer: 1260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15194*d + 5002*d + 5176*d + 5005*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87 + -71. Suppose 0*o = -o - 5*t + m, 4*t = 12. Solve 0 = -5*w + o + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/((-11 + 6)\/(-5)))\/(-1). Let 4\/5*x + m*x**2 + 2\/5 - 2\/5*x**4 - 4\/5*x**3 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of 0*v + 0*v**7 - 7\/30*v**5 + 0 - 1\/84*v**8 + 0*v**6 + 0*v**4 + 0*v**3 - 5*v**2. What is the third derivative of p(w) wrt w?\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/80)\/(180\/(-300)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = -3*d + 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(2 - 6\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11503681 (base 9) in base 12?\nAnswer: 1a67b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117223*w - 62 = b - 117212*w, 2*b - 4*w = -20 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*q + 3*q + 10*q)*((3 + 3 + 2)*(3*q**3 - 6*q**3 + q**3) - 2*q**2 + 2*q**2 + q**3) + q - 3*q**4 - q as b*q + v*q**2 + l*q**3 + i*q**4 + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + c**2. Let b(w) = 148*w**3 + 209*w**2 - 156*w + 24. Let o = 37 - 19. Let z be 22\/o - 10\/45. Let j(p) = z*h(p) + b(p). What is i in j(i) = 0?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2 + sqrt(19)))**2 + 0 + sqrt(19) + -3 - ((sqrt(228)*-2 + sqrt(228))\/sqrt(12) + sqrt(684) + 2).\nAnswer: -104*sqrt(19) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23582 is divided by 1364.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1535 is divided by 830?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 3*o - 18 = -3*z, 0 = -3*z + o + 10. Solve 2*n + 18 = 5*j + z*n, -4*j - 4*n = -24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 75 = -5*p + 4*g, g = 5*p + 83. Let h = -1252 - -1191. Find the common denominator of p\/51 - (0 - h\/(-30)) and -51\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 993299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 215957\/210 - 2\/((-2)\/(-2)). Let s = g + -13721\/5. Let j = 1699 + s. What is the common denominator of -49\/18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9510\/(-20605))\/(34\/26).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w**2 + 125190*w + 3918134025 = 0. What is w?\nAnswer: -62595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 3*w**3 + 2*w**2 - w. Let t be g(1). Let b = -22 + 24. Let r be b\/14 + (-7)\/49. Solve -4*m = -k + 2, -3*m + k - t + 3 = r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -25*p - 156. Let u be l(-7). Find the second derivative of 54*b - 90*b - 24*b**2 - u*b**2 - 22*b - 120*b wrt b.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 5)*((2 + 0 + 0)*(-1 + 2 + 0) + 1 - 3 + 0 + 3285 + 3820 - 7755)*(-d - 3*d + d).\nAnswer: -1950*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/3)\/(6\/8118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*o = -2*o - 33732. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12112211221201 (base 3) to base 14\nAnswer: 56ac67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1014000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4a756 (base 11) to base 3\nAnswer: 10200211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*u + 40 = -48*u - b, 0 = -4*u + 3*b + 32. Calculate the remainder when 205 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -178 + 214. Calculate the smallest common multiple of 18 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 3*k**2 - 2. Let b be c(2). Solve -b*o - 13 = 3*d - 4*d, -5*d + 21 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32*c*t**3*w**3 - 1587*c*t**3*w + t**3*w**3 + 49450*t*w**3 wrt c.\nAnswer: -32*t**3*w**3 - 1587*t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24234 by 8078.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/49 in -0.5, 2, 1\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00020026 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 982942268 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192625.\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -9*476098\nAnswer: -4284882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-168)\/(-35) - 4)\/((-2)\/(-5)). Let l be r\/(-13) + (-700)\/(-325). Let -h**l - 1\/4 + 5\/4*h = 0. Calculate h.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 7 = k, -5*w - 2*k = 19 - 57. Solve -w*u + 4*u + 26 = 5*x, -14 = -u - 5*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (14 + (1 - (-10 + (8 - -5)))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-35)\/(-2) - 9\/(-18). What are the prime factors of 368\/6 + h\/27?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 3*p - 10. Give h(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4671 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 33589354 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/7  (b) -0.4  (c) 8  (d) 17  (e) -3\/1417  (f) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 648.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.060274 nanometers in centimeters?\nAnswer: 0.0000008060274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2976 and 195424?\nAnswer: 586272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - q + 15 = 0. Let v(h) = -h**2 + 3*h + 7. Let g be v(q). Suppose 84*t - 48*t - 144 = 0. Sort t, g, -4, 0 in decreasing order.\nAnswer: t, 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 10768\/32 + (-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x + 1 - 1)*(-3 + 3 - 2) - 5*x + 6*x + 0*x - x - 7 + 7 + 12*x - 84*x + 4*x to t*x + r and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 273, 271, 269?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 2*z**2 + z - 8. What is b(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a hour in seconds?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1089571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 8*c + c. What is the second derivative of -16 + 13*i - 95*i**c + 36 - 17 wrt i?\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*h**3 - 62*h**3 + 27*h**3 + (3*h - 3*h + 3*h)*(-19*h**2 - 8*h**2 + 0*h**2) as j*h**2 + z*h + y + o*h**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -6*u - 6. Let b = -4 - 1. Let g be q(b). Suppose g = -3*t + 66. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*k*l**2 - 68*k*l - 1253*k - 4*l**2 - 4*l + 23 wrt l.\nAnswer: 6*k*l - 68*k - 8*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.9 - -2. Let p = -7 - -9. Let r = 203.7 - 203.75. Which is the biggest value?  (a) r  (b) l  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m + 212 + 1788 = 0. Calculate the highest common divisor of 325 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5476228253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dedde. What is prob of sequence dde?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/80072538 and -38\/1380561?\nAnswer: 80072538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -54704\/9 - -6072. Is -7 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/((-910)\/6)*-7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 6*k + 3*x - 1, 0 = -3*x - 18 - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-63*y**4 + 45*y**4 - 145*y**4)*(-5 + 11 + 6 + 0).\nAnswer: -1956*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1059, 1979, 2751, 3375, 3851?\n\"Answer: -74*v**2 + 1142*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d**0)\/(d**(-1)\/d))**(-15))**30)**(13\/3) assuming d is positive.\nAnswer: d**(-5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 252\/(-147)*2\/(-6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 869 + 1288. Suppose -2*i + b = i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244608 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of n**4\/4 + 5*n**3\/3 + 3*n**2\/2 + 9*n - 216. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -40  (c) 3\/4  (d) -0.3  (e) 20\/9  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.05 + -0.5667.\nAnswer: -1.6167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 23*o**2\/2 - 44*o + 8. What is the first derivative of c(j) wrt j?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -t - 6. Suppose -8*h - t*h = -440. Calculate the remainder when 75 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 3 = 2*t, 2*l - t - 23 = 0. Suppose 176 = 4*w - 5*h, -3*h + 11 = -3*w + 146. Let g = -28 + w. What is the remainder when g is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1425 and -17.\nAnswer: -24225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15*(-2)\/(-6)*3. Suppose 3*o + 12 = z*o. Put o, 3, -40 in descending order.\nAnswer: 3, o, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1))**(2\/15)*(a\/(a\/(a\/a**(2\/7)))*a)**(11\/3))**41 assuming a is positive.\nAnswer: a**(26486\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 + 4*l**2 + 5*l. Let b be n(5). Let o be (-46)\/(-6) - (-4)\/(-6). Let f = o + -3. Sort b, -1, f.\nAnswer: -1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -121 - 1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 + -13. Let z = 2245 + -2234. Calculate the remainder when v is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**5 - 24*d**4 - 40*d**3 + 220*d**2 + 42*d - 196 = 0. What is d?\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-15))\/(5775\/9625).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o - 3. Let l be c(9). Let s be (-2)\/l + (-11)\/(-33). Suppose -2*k = -s*k - 54. Calculate the remainder when 106 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11021120 + 12?\nAnswer: 11021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 2:21 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 1:15 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133515 is divided by 192.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 1 - 6 = -3*p, 2*p = -3*q. Let c = -556579\/18 + 30913. Find the common denominator of c and (-366)\/18*((-1)\/q - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.35 + 1.47. What is d rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (27\/(-18))\/(6\/(-16)). Calculate the greatest common factor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80754 is divided by 631?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 0.2, -4\/9, 76, -1\/2 in increasing order.\nAnswer: -1\/2, -4\/9, -2\/13, 0.2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 181 + -180 - 35998\/(-3) - 5\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -140*t + 8513. Determine z(61).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*b**2 - 5 - 27*b**2 - 7.\nAnswer: -15*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -24. Let d = -16 + q. Suppose 3*g + 0*r = -2*r + 80, 0 = -g + d*r + 40. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 5*r + 67 = 0, -2*z + 2*r - 3*r = -55. Is 7 a factor of z\/(0 + 2 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2682 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 + (-33)\/4)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2244080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(9\/(-3)))\/(4 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d\/(d\/d**3)))*d\/(d\/(d\/d**(1\/2)*d))*d)\/(d\/(d*d**(1\/4))*d*d**7) assuming d is positive.\nAnswer: d**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -184.2561 + 183.49. What is w rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3*d = -8*d + 303, -v = -4*d + 156. Let l = v - -296. Let s = l - 86. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)\/(sqrt(12) + (sqrt(12) - sqrt(72)\/sqrt(6))) - (-3*sqrt(110))\/sqrt(10)) + 0)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than 306\/22141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 166 = -x, 5*u + 614 = 4*x - 50. Let a = 36 + -12. What is the remainder when x is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738 + 3 + 5 + 2 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 88 - 82. Suppose 0*o - v = -6*o. Let d(x) = 3*x - 1. Determine d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*f**5\/4 + 609*f**4\/4 + 171*f**3\/2 = 0. Calculate f.\nAnswer: -6\/11, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 5*w = 80, d + 0*d + 2*w - 12 = 0. Let t = d + -18. Suppose -165 = -3*s + i, -4*s + 129 + 91 = t*i. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -17. Let j be 1 + 3\/(3\/2). Sort j, -1, u in decreasing order.\nAnswer: j, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of 47*v**2 - 1\/90*v**5 + 0 + v**3 - 2\/9*v**4 + 0*v. What is x in k(x) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from dpdoddzc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -4*k**2 - 9000*k - 3351636 = 0.\nAnswer: -1779, -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -5343000 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17\/55 + 1\/11. Let x be 0 + (-2)\/(-6) + 0. Which is the third biggest value?  (a) x  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-102)\/(-9) - (6\/(-9))\/1. Differentiate -j**4 + o*j + 0*j**4 - 7 + 13*j - j with respect to j.\nAnswer: -4*j**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + 1 + 1 + -7. Let o(d) = -2*d**2 - 12*d - 10. Let m be o(s). Let b = -29 - m. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r + 51 = -l + 40, 3*l = 2*r - 55 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d. Suppose 4*t + t + z + 4 = 0, -4*z - 16 = 2*t. Let o be p(t). Solve 2*f + 2*a - 4 = o, -4*f + 0*f - 1 = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -6*y**3 + 87*y**2 + 181*y - 3116. Suppose -3*t + 110 = 2*t. Calculate the lowest common multiple of q(14) and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-14))\/((-934)\/(-6538))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13\/4*v**3 - 5*v + 1\/4*v**4 + 8*v**2 + 0.\nAnswer: v*(v - 10)*(v - 2)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h - 20. Let n be l(12). Find the first derivative of 4*i**3 + 5 - 2 - n*i**3 wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1619477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/3, -1, 6, 2\/111?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (101\/((-6464)\/(-9344)))\/(4\/2)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25761)\/7756*(-448)\/(-16).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)*-3 - sqrt(13) - (sqrt(325) - (sqrt(325) - (sqrt(325) + 4))) - (-3*sqrt(1573) - (sqrt(13) + 2*sqrt(13) + -2 + sqrt(13))))**2.\nAnswer: -156*sqrt(13) + 2233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 0, -7267, 6, 2, 32.\nAnswer: -7267, -5, 0, 2, 5, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -5*b**3 - 3*b**2 - 3*b - 30. Let m(f) = f**2 + f + 1. Let g(p) = -3*m(p) - o(p). What is the first derivative of g(n) wrt n?\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + 19*z + 31. Let d be b(-17). Suppose 3*n + 14 = 4*i, 4*n - 3*i + 1 = -6. Put d, -9, n in decreasing order.\nAnswer: n, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*((i**(3\/7)\/i*i)\/i)\/i)**(-1\/4)\/(i*i**2\/i*i*i)**(-7\/3) assuming i is positive.\nAnswer: i**(199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -639 - -634. Let s = 50\/11 - 52\/11. Let z = 1.2 - 0.2. Which is the nearest to z?  (a) s  (b) t  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.034 * -0.5\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -275416*i**3 - 275409*i**3 - 1 + 2*i**2 + 550826*i**3 - 102*i**4 - i to the form u*i**4 + g*i + m*i**3 + d + o*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/64 and 65\/2148?\nAnswer: 34368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/9 + 16976*w**2\/9 + 50914*w\/9 + 33940\/9.\nAnswer: 2*(w + 1)*(w + 2)*(w + 8485)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 - 9 = 3*t + 4*x, -2*t + 2*x + 60 = 0. Solve -12 = 2*o + 4*c, -3*o = 2*o - 4*c - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -183*p + 102. Let h(j) = -91*j + 50. Let x(t) = 5*h(t) - 2*i(t). What is the hundreds digit of x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 + -13. Suppose 2*p + 3*p - 130 = 0. Calculate the highest common divisor of t and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4858007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v - 4. Let p be r(5). What is the first derivative of -2 - 4*j**3 + 6*j - 6*j - p wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381241 is divided by 540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(8\/(-16)*18*6\/9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from pjpopojpoojooj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -26*h. Let s(a) = -2*a**2 - 50*a. Determine s(z(p)).\nAnswer: -1352*p**2 + 1300*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4 - 6*d - 10 + 2*d + 0*d. Let t be h(-4). Solve 2*f = -4*g - 10, g - 2*f - t = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/5)\/b*((b*b**(-1))\/b)\/b)**(-46) assuming b is positive.\nAnswer: b**(782\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4423.34805 - -0.15.\nAnswer: -4423.19805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -257 + 2309\/9. Let b be 5 - (785\/84 + -4). Let j = b + 1\/84. What is the fourth biggest value in j, c, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 + 13*u**2 - u - 22. Let n(y) = -4*y + 11. Let k be n(6). Let g be s(k). Let i = -2 - g. Solve -i = 2*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13045 * 0.04103\nAnswer: -535.23635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 2 = u, 2*p - 2*u - 4 = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/6*12\/8. Suppose -4*x + 21 = -3*w, 3*w + 2 + 13 = p*x. Suppose 3*g + h = -13200, -7*g = -x*g - 3*h + 17600. Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - (-12 - -17)) + (-4 - 5 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 70*l**2*r + 717578*l**2 + 22555*r + 1 wrt r.\nAnswer: 70*l**2 + 22555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -4335.503 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + -1 + (1 - 5)\/(-1). Suppose -y*i = -14*i + 979. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3459207*c + 3459437*c - 2300 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of 5*x**2\/2 - 25*x + 10. What is the units digit of a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-408)\/(-1530)*(-18)\/(-64)*27\/(1620\/(-8))\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 14789.74 years?\nAnswer: 14.78974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 16.73, -6, -26, 0.5.\nAnswer: -26, -6, -1, 0.5, 16.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*a**4 + 22*a**2 + 581*a wrt a?\nAnswer: 48*a**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 != 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2)*848\/1272?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(637)*-1 + 5 + sqrt(637))*-3 + -2)*3 + -1)**2.\nAnswer: 64516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3651, -4183, -4715, -5247, -5779?\n\"Answer: -532*b - 3119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((12\/3)\/1)\/1. Suppose -4*i = 2*v - 14, b*v + 2*i - 13 = 9. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, 0, -20, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.3151 times -328?\nAnswer: -2071.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 4*x + 2*x)*(0 - 5*x + 0)*(-5 - 4*x**2 + 5).\nAnswer: -80*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 647, 1296, 1945, 2594?\n\"Answer: 649*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105996 = 106*a - 103664 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 3, -18, -5, -3 in ascending order.\nAnswer: -18, -5, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 120 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 0*t + 5*m - 363, 2*m = 3*t - 363. Calculate the remainder when t is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7596 + 0.2404. What is the smallest value in 3, q, -110, 0.3?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bv when two letters picked without replacement from ssbssssssvsssssssss?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {t: 3, z: 5, c: 1, p: 10, x: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.002 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11022221202120 (base 3) to base 12.\nAnswer: -930220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330*c = -331*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = -4*m + 12, 3*m + m + 2*u = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2863405*f**3 - 11*f + 11*f - 2863402*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, q: 2, m: 1, z: 1, b: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2 + 3*i + 3. Let g be a(-2). Let z be g - 0 - 0\/3. Suppose r - 2*r = z*j - 10, -r + 28 = -j. Solve 3*c + 2*c = -r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -28605, -28604, -28603?\n\"Answer: z - 28606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-52))\/(((-96)\/(-18))\/(-16))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 500*h = 503*h - 12, -w + h = -8. What is the highest common factor of w and 1011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**5 + 117977*p**4 - 3479466163*p**3 - 10439106361*p**2 - 10439342320*p - 3479820100 = 0.\nAnswer: -1, 58990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3373*a - 1868 - 1959 + 793 - 3375*a to the form d*a + k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 + 8*u + 17. Let h be a(12). Suppose 2*n - 2 = 8, -415 = -5*k - n. Let x = k + h. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155372 divided by -868?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by 985982.\nAnswer: -11\/985982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (i - 2*i - 2*i)*(59 + 2857 + 830 - 479 + 758) to the form n + u*i and give u.\nAnswer: -12075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 533 smaller than 534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46 - 81 - 19)*(-1 - 5 + 4)*(6 + 0 - 3 + (-2 - 2 + 2)*(-3 + 3 - 2))*(-5*l + 4*l - l).\nAnswer: -1512*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 7\/3  (b) 2\/3  (c) 4  (d) 17  (e) 3  (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2211696 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/(sqrt(128) - (sqrt(128) - sqrt(128)*1)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 26. Let s = -8 - q. Is s less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 1:20 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 15*x**2 - 35*x + 30. Calculate a(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence luxl when four letters picked without replacement from {x: 10, u: 1, l: 3, q: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*h + 3972 - 705 = -585 for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -203  (b) 0.4  (c) -0.1  (d) 3  (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42742 and 5964?\nAnswer: 256452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-19))\/(i**(-9)\/i)*i**37*i**15 assuming i is positive.\nAnswer: i**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {c: 14, t: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 9:06 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -54, -40, -10, 42, 122, 236?\n\"Answer: p**3 + 2*p**2 + p - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4*t - 2)*(t**2 + 8 - 165*t + 165*t).\nAnswer: -4*t**3 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that 25*v**3 + 607270*v**2 + 3521425*v + 2428500 = 0.\nAnswer: -24285, -5, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from ueuvegveeuv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6a (base 13) to base 16\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 470602, 470528, 470454, 470380?\n\"Answer: -74*i + 470676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -7171 at most 0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*a - 3 + 2*a + 0 + 0 + (-2*a + 3 - 3)*(-3 + 2 - 1) - 4*a - a + 4*a - 2*a - 2*a + 3*a - 2 + 2 + 2*a + 0 - a + 0)*(15*a**2 + 119*a - 119*a).\nAnswer: 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 27 = -18. Let y be (-5)\/x + (-1)\/(-3). Let s = -1.32 - -0.32. Which is the closest to 0.2?  (a) y  (b) -1\/2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5, -28, -65, -116, -181, -260?\n\"Answer: -7*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4553 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 407*v - 407*v + 8811*v**2.\nAnswer: 8811*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1848 + -2.1.\nAnswer: 1845.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50573.\nAnswer: 103, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1554625.363 rounded to the nearest one hundred?\nAnswer: -1554600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d - 33*d = 0. Let z(f) be the third derivative of f**5\/60 - 5*f**4\/24 + 5*f**3\/6 - 2*f**2. Let n be z(4). Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 241*n - 43 = 223*n - 596 - 329 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 3*f**2 - 2*f + 4. Let o be i(-4). Let w = 45 - 44. Sort o, 4, w in descending order.\nAnswer: 4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 119000404, 119000403, 119000402, 119000401, 119000400?\n\"Answer: -w + 119000405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 0.347\nAnswer: 1.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-3) - 64\/(-114). Let a = -2001.95 + 2092. Let t = a - 90. What is the fourth smallest value in t, w, -2, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1324 + -1336.26. Let m = w + -2.14. Which is smaller: 2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-468)\/(-195)*(-30)\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2123 + 2123. Solve j*m + l = m - 3, -8 = 4*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (35 + (-21 - -14))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57 - 50. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1577 + 1574. Let g(w) be the first derivative of w**5\/24 + w**4\/24 + w**3 - 5. Let k(a) be the third derivative of g(a). Give k(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 588 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-45385)\/(-20) - 3\/(-4). Suppose -2*h + 912 = -0*h - 2*u, 5*h = 3*u + z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1887.70837 rounded to the nearest ten?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3959 + 11623\/3. Let a = -84 - y. Let o = -8.45 + 4.45. What is the nearest to a in -0.2, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1  (c) 2\/13  (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/80*-10)\/((27\/(-189))\/((-58)\/14)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -339*p + 336*p = -78. Sort p, -4, 0, 2 in increasing order.\nAnswer: -4, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43750 or -44625?\nAnswer: -44625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - q - 2. Let t be c(-2). Let m be (18\/t)\/((-2)\/4). Let v = m - 1. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 + 30. Let g = -821.0434134 - -871.04341261. Let k = g - o. Round k to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4732, -16321, -35618, -62623, -97336?\nAnswer: -139757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 9830 divided by 3\nAnswer: 9830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-6) + (-154)\/(-42). Suppose -f - 2*j = a*f + 6, 2*f - j + 5 = 0. Let t(k) = k + 4. Let w(d) = 2*d + 5. What is f*w(l) + 3*t(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**4 + 205*m**3 + 1476*m**2 + 1712*m - 3392 = 0.\nAnswer: -4, 1, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**3 + 2*b**2 + 3*b - 3. Let h(s) = 7*s**3 + 5*s**2 + 5*s - 5. Let z(m) = -3*h(m) + 5*v(m). What is the third derivative of z(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 591  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 302 and 1488105?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-28)\/y*y*y)\/y*y)\/(y\/y**(-24\/7))*y**12\/y**(2\/19) assuming y is positive.\nAnswer: y**(-2598\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/16, -0.2, -0.3, -2\/9?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -175, -2530, -7087, -13846, -22807, -33970, -47335?\n\"Answer: -1101*v**2 + 948*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/17 + 13\/34. Suppose 13 = p + 2*q, 26 = 5*q + 11. What is the closest to p in a, -0.5, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*w + w + w)*(4 + 7 + 16 + 35) to h + l*w and give l.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t + 1. Let s be m(1). Let x be (2\/s)\/((-1)\/(-4)). Solve y = -x + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -3*l - 18, 5*l - 44 = 4*j - 69 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*c = -11 + 3, 2*t + c + 19 = 0. Suppose -16 = 4*f + d, -8 = -4*f + 2*d + 3*d. Let u = f - t. Solve 5*y - 4*v = 0, 3*y - u*v = y - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 9 = -4*h. Suppose 3*f + 23 = 4*c - h, 0 = -4*c + f + 22. Suppose -2*w + w + 28 = -5*y, -120 = -5*w + c*y. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13490 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2531987 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -2*g - 0*g + 14, 4*g + 2 = -2*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-14)*5)\/((-126)\/882)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 2) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 1\/((-4)\/((-48)\/28))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17132 - -18203. What is the smallest common multiple of i and 833?\nAnswer: 7497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -7*w + 84. Suppose -5*v = 2*s + 3, 0*v + v - 1 = 0. Sort w, s, 6 in decreasing order.\nAnswer: 6, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -399663299.000117 + 399663589. Let k = -290 + g. Round k to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-3) - (-12)\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -28.32. Let f = n - 0.08. Sort -0.1, 4, f.\nAnswer: f, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*h**2 - 18*h**2 - 16*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-4) + (-30)\/(-8). Suppose -3*y = y - 8. Suppose -3*x + y*k + 16 = 0, -h*k + 3 - 5 = -x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 - 0 - -4)*-2. Solve -u*b + 3*d - 14 = 0, -6*b - 4*d = -b - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 605 is divided by 157?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 - 2*b**2)*(13 - 11 + 23) - 3*b**2 + b**2 + b**2 in the form v + q*b**2 + x*b and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15.81 + -15.61. Let p = 1.1 - 0.1. Let v = -4.019 - -0.019. What is the closest to f in v, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 divided by -147?\nAnswer: -50\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -9*w**2 - 1. Let v be c(-1). Let t be (-2)\/10*-2 + (-26)\/v. Find the second derivative of 0*z**3 - 3072*z + 3096*z - 19*z**4 + 0*z**t wrt z.\nAnswer: -228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-3)\/9 - -2. Let u = -5 - -10. Which is the second biggest value?  (a) u  (b) j  (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1056 - 1027. Solve z + k = 27 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0 - 3 + 0 + 2 + (2 - 4 + 0)*(-4 + 2 - 2))*((-14*x + x - 11*x)*(3 - 5 + 0) + (5 + 0 - 3)*(x + 1 - 1)).\nAnswer: 400*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/6)\/(2 - 58\/30). Calculate the highest common factor of w and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(975)*-2*5 - sqrt(975))*-4)\/(sqrt(363)*3 + sqrt(363) + sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(18)\/(sqrt(6) + sqrt(48)\/sqrt(8))) - sqrt(3))).\nAnswer: 440*sqrt(13)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wtt when three letters picked without replacement from waqtwttwtttttttq?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 3681, 749, 1 in descending order.\nAnswer: 3681, 749, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 minus 6177503146351?\nAnswer: -6177503146329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 145.81 - 146. Sort q, 2, -2\/5.\nAnswer: -2\/5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 83*g - 2*g**3 + 9 - 85*g + 53 + (-g + 0 + 0)*(-3*g + 3*g + 2*g**2).\nAnswer: -4*g**3 - 2*g + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.7, 0, -38, -5\/6, -4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -7*z**2 - 3. Let j be f(-3). Let u be ((-2)\/5)\/((-552)\/560 - -1). Let q = u - j. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of -125*u**4\/3 - 153*u**3 + 794*u**2. Differentiate s(l) wrt l.\nAnswer: -1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2804, 2803, 2802?\n\"Answer: -a + 2805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/(-120)*-3*51\/(-12) and -57\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -33\/727 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -17545144, -17545146, -17545150, -17545156, -17545164, -17545174, -17545186?\n\"Answer: -f**2 + f - 17545144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n + 5*n - 24 = 3*l, 2*l - n + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59428298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -24*a**4 - 25*a**4 + 60*a**4 - 16*a**4 - 35 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35653)\/2727 - 2\/(-27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3*106*(-220)\/(-132) is divided by 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236 (base 12) to base 8\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -17. Is 5 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 365 = 85. Let q = 1\/7435 - 14877\/52045. Which is the nearest to 0?  (a) 1\/4  (b) q  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 164, -12, -488, -1414, -2940?\nAnswer: -5216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 145180 and 5952380?\nAnswer: 5952380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -25*d + 12. Let r be w(-1). Let u(l) = l**2 - 4*l + 3. Let h be u(1). Put r, 4, h in increasing order.\nAnswer: h, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*f + 4*d, -8*f + 10*f - 8 = -2*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 8 + 104*a**3 - 4.\nAnswer: 104*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4555 or -1104?\nAnswer: -4555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -897*g = -894*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -2133\nAnswer: -1\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-6))\/(((-16)\/(-3))\/(-2)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u + 12. Calculate h(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*d = 124*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 2*h = -7 + 9, -3*h = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 5:12 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273*c - 996988 = -149869. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.29, 69, 2\/13 in descending order.\nAnswer: 69, 2\/13, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, w: 4, i: 6}. What is prob of picking 2 u?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -334*n - 15 + 167*n + 6*n**2 + 167*n. Let z(m) = -50*m**2 + 46 + 17*m**2 + 14*m**2. Let q(h) = 8*r(h) + 3*z(h). Differentiate q(u) with respect to u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vvvvvllvlvvv.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 bigger than 3656\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 1, 0, -4, 977 in descending order.\nAnswer: 977, 1, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49013.\nAnswer: 23, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 18910419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**2 - 4974*c + 24898. Give l(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*o**2 - 74*o**5 + 5*o**2 + 2*o**2 - o**2 - 207*o - 294*o**5 wrt o?\nAnswer: -7360*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 253 and 1921457329.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 - 141*u**3 + 4893*u**2 + 5893*u - 30246.\nAnswer: (u - 71)**2*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 2*r - 30. Suppose -3*j + 1 - r = -h, 0 = -2*h + 2*j + 60. Suppose 4*f - h = 15. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 137\/378 and -29\/14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*((-6)\/9 + 0). Suppose -7*h = -b*h - 20. Suppose 0 = u + 2*n + 3*n + 6, -h*n - 6 = 2*u. What is the common denominator of 125\/6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10391*h**3 - 3197*h**3 + 35094*h**3.\nAnswer: 42288*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 164\/1339 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -67*n**2 + n**2 - 56 + 6 + 15*n**2 wrt n.\nAnswer: -102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 287\/6 + -48. Let s = 16.6 - 2.3. Let q = s - 14. Which is the second biggest value?  (a) q  (b) t  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 983.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 d when three letters picked without replacement from {p: 2, z: 3, d: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -17*d + 20*d. Is (-253 - 5)*d\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j**2 - 12. Let k(d) = -91*d**2 + 132. Let s(t) = -k(t) - 11*n(t). Let m(x) = 13*x. Give s(m(a)).\nAnswer: 19097*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -t**3*y**2 - 1588030*t**3 - 9031574*y**2 wrt t.\nAnswer: -3*t**2*y**2 - 4764090*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 2*q + 2, 4*y - 5*y = -3*q + 12. Suppose -j - 10 + 0 = q*w, j = 2*w + 11. Solve 3*n - 6 = 3*x, 2*n + 36 = -j*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*c - 34 + 34)*(48*c**3 + c - 255 - 53*c**3 + 165) to the form v*c**4 + s*c**3 + p*c**2 + n + y*c and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21965.\nAnswer: 5, 23, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47 - 46. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3656679088 to the power of 1\/4, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(726)*5 - sqrt(726))\/((sqrt(1536)*-6)\/sqrt(12)).\nAnswer: -11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -0.1, 2\/23, 10, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 14*v - 4 + v**2 - 8*v + 3*v. Is 16 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*r*t**4 + 251*r*t**2 - 409343*r - 31*t**2 with respect to t.\nAnswer: 28*r*t**3 + 502*r*t - 62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -2)*1 + (6\/16 - (-4309)\/(-248)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*g**3 - 2*g**3 - g**3 + (g + 0*g - 3*g)*(0 - g**2 + 0))*(-1 - 2 - 2) + 500*g**2 - 500*g**2 - 87*g**3 in the form x*g**3 + z*g + m*g**2 + b and give x.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5792 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/7 in 106, -4, 69\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((26 - (26 + 20)) + -11).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 12 = -13. Let y(b) = b + 2. Let m be y(0). Suppose -l - 2*t = m + 6, l - r = t. Put 1, 4, l in descending order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 98 + 8. List the prime factors of ((-6)\/(-9))\/(12\/i) - -85.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 11*h - 70. Let b(r) = -r + 9. Let m be b(h). Sort 3, m, 10, 1 in descending order.\nAnswer: 10, 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -2) + 4\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49469536 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 14*r**2 - r + 9. Let b be m(14). Let t be (-13 + -12 + -3)\/(1 - -1). Let g be (-1)\/2 - 18\/(-52). Put g, t, b in ascending order.\nAnswer: t, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -140 + 147. Let q be ((-8)\/(-20))\/(1\/(-5)). Let i be (-3)\/6*q*0. Which is the nearest to i?  (a) -1  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -2*c - 12*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -396367 - -396367. Let s(t) = t + 4. Let q be s(0). Solve 5*v + 2*o + c*o = 10, 5*o + 8 = q*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -108701, -108775, -108839, -108887, -108913, -108911, -108875, -108799?\n\"Answer: l**3 - l**2 - 78*l - 108623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c + 3*x = -7*c - 858, -2*x = 0. What is the remainder when c is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 4*b**2 - b + 6. What is the tens digit of p(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22440 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u**3 + 2*u**3 + 5622 - 2*u**3 - 5622.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75384 and 4104?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 37 * -1188858.\nAnswer: -43987746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69 - 69 + 26*j to the form m + i*j and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -1327885*m**2. Let g(i) = -25*i. Determine g(t(b)).\nAnswer: 33197125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*k - 86*k - 2 = -2*i, -3*i - 3 = 3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -122*h*q**2 + 81*h - 2*q - 2 wrt q?\nAnswer: -244*h*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 26*u**2 + 3*u + 59. What is the tens digit of q(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**(-5)\/f*f)*f**(-5)*f*f**(-1\/4)*f\/f**(-3\/4))\/(f**3*f**(-6))**(-2\/43) assuming f is positive.\nAnswer: f**(289\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3806 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17.5 - 12.3. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9230721422 and -4.6.\nAnswer: 9230721417.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.7 and 394.\nAnswer: 669.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1146, -1144, -1132, -1104, -1054, -976?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.62 + -2.12. Which is the second biggest value?  (a) x  (b) 1\/3  (c) 4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 3*o - 12. What is g(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4782 + 47721\/10. Let c = -1141\/1287 - 1\/429. Find the common denominator of n and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -10*b. Let y(s) be the third derivative of 0*s + 0*s**3 - 8*s**2 + 0 - 1\/24*s**4. Determine y(l(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 3, -182, -3 in descending order.\nAnswer: 3, 0.1, -3, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 304187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -637590 divided by -106.\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 2111?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -27*t**3 + 18*t**2 - 4*t + 26. Is l(-10) a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38411 (base 9) in base 14?\nAnswer: 95c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 + -28. Let c(s) = -s**2 - 19*s + 6. Let z be c(-18). Suppose -4*b = 2*n - z, -3*n - 2*n + b + 38 = 0. Calculate the remainder when f is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20125631761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmdkdddmmmioddmm. What is prob of sequence ddmo?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -y - 3*y. Let v(a) be the third derivative of a**5\/60 - a**4\/24 - a**3\/6 - 6*a**2 + 77. Let t(b) = -4*b**2 + 4*b + 6. Calculate y*t(m) - 5*v(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/7 + 31776*m\/7 + 509184\/7.\nAnswer: -3*(m - 10608)*(m + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -42240 - 10?\nAnswer: -42300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/12*30 - ((-228)\/24 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -65 - -32. Let n = l + 28. Let m = -2.4 - -6.4. Which is the nearest to 2\/5?  (a) n  (b) -2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 107*k**2 - 36*k**2 - 146 - 39*k**2 + 45 + 20*k - 33*k**2. Determine p(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 2*h**3\/3 - 11*h**2\/2 - 19*h - 5. List the prime factors of t(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2612 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(2\/5))\/o**(-4\/13))**(-31) assuming o is positive.\nAnswer: o**(-3441\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.939079 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m + 5. Let y be q(-3). Find the third derivative of 5*r**2 - 39*r**y + 10*r**3 + 17*r**2 wrt r.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5529 - 108?\nAnswer: -5637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -23*d**2 - 3*d - 30. Let q(l) = 93*l**2 + 11*l + 119. Let t(w) = -9*a(w) - 2*q(w). List the prime factors of t(-4).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.399732 + 12663?\nAnswer: 12663.399732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4921784007 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 814*r - 142*r - 864*r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 5084\/7*c**3 - 615648*c**2 - 2\/7*c**4 + 174227900*c - 173612978 = 0.\nAnswer: 1, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3730 - 3741) + (49 + 0 - (-3 - -3))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**2 + 3*a**2 + 3*a**2)*(-3*a**3 + 4*a**3 - 4*a**3) - 9698*a**3 + 9698*a**3 + 1013*a**5.\nAnswer: 1010*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 8. Suppose 5*f - 27 - 148 = 0. Suppose -i*l - 2*l + f = 0. Solve -l = -5*p + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -7 and -0.0355637 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + h + 525053 = 6*h + 525008, -13*w - 83 = -3*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 28953212 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -40955578*c**2. Let b(r) = -2*r**2. Determine b(g(i)).\nAnswer: -3354718738628168*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*w**2 + 57*w**2 - 305*w**2 - 489*w**2 + 97*w**2 as f + t*w + s*w**2 and give s.\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -3*v**3 - 5*v**3 - 18*v**2 - 7 + 6*v**3 + 5*v**3 + 2*v. Let g be n(6). Solve 1 = 2*q - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11033 (base 6) to base 8\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -1805*v - 25. Let w(d) = -905*d - 11. Give -4*p(y) + 9*w(y).\nAnswer: -925*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -166.11 + 5.\nAnswer: -161.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 982*t**2 + 1016*t**2 - 2006*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202 is divided by (2\/(-3))\/((-40)\/1740)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1217480 divided by 20\nAnswer: -60874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -75*y - 33 + 183. Determine k so that 12\/7 + 10\/7*k + 2\/7*k**y = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 167, 595, 1269, 2189, 3355, 4767, 6425?\nAnswer: 8329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -13*c**2 + 160*c - 1. Let m(p) = -9*p**2 + 159*p - 1. Determine 2*j(g) - 3*m(g).\nAnswer: g**2 - 157*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4673 + -4677. Let q = 10 - 10. What is the closest to z in 2, q, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {u: 6, b: 1, o: 4, y: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/6*((-4)\/2)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 16655, 33311, 49965, 66617, 83267?\n\"Answer: -r**2 + 16659*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-8) - (-1078)\/616. What is the smallest value in 0.1, -2, -3, x, -266?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h**3 + h**2 + 2*h + 1. Let s be m(-1). Let p = 14 + s. What is the remainder when (5\/(20\/102))\/(27\/36) is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -21, -18, 0, -4 in decreasing order.\nAnswer: 0, -3, -4, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*v - 2*p, -5*v - 149*p + 146*p = -27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - (4 + 0 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 99*x. Let v(a) = -100*a. What is 3*c(h) + 4*v(h)?\nAnswer: -103*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15751 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a - 3*a + 2*a + (a - a + 2*a)*(1 - 3 + 0) + 2 + 9*a - 1 - 11*a.\nAnswer: -7*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h. Let t(f) = -8*f - 15 + 20 - 5. Determine t(i(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/q**(-3\/7))\/(q*q\/q**(-2\/3)))\/(q*q*(q\/q**14*q*q)\/q*q*q\/((q*q*q\/(q*q*q**(7\/4)\/q))\/q)) assuming q is positive.\nAnswer: q**(589\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 51*n**2 - 5*n - 14. Give s(-2).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(112) + (0 + sqrt(112))**2).\nAnswer: -672 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11719918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 - 370*x + 1189. Calculate the least common multiple of 88 and i(131).\nAnswer: 16808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -132*x**2 + 7529*x - 298. Give c(57).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - -7*(-2)\/(-6). Let t be 1\/(-3) - (-74)\/6. Let j(n) = n**2 - 10*n - 24. Let a be j(t). What is the third smallest value in o, a, -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/11 + 2577826*h\/11 - 10311272\/11.\nAnswer: -2*(h - 1288909)*(h - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -c727e?\nAnswer: -c7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 - 2*x - 1. Let c(u) = u**3 + 4*u**2 - 4*u - 1. What is 3*c(h) - 5*g(h)?\nAnswer: 3*h**3 + 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -21 + 2639?\nAnswer: 2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*z + 37 = -0*z, -4*i + 3*z = -192. Let y be (-29)\/9 - (-10)\/i. Let k be -4 - (1 + y\/(-3)). Is -5 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3453*c + 10339. Calculate n(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than -2\/2077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*2\/(-4)*4. Let k be (-118)\/8 - 1\/4. Let r = -3 - k. What is the highest common factor of b and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - (-32)\/(-10))*5. Let k = s - -39. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + (-430)\/40)\/(3*1\/8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 + 0 + 38 + 3 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, h: 9, y: 3}. Give prob of picking 3 f.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 11*b - 2. Give l(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -147*h**3*r**2 + 424*h**3*z + 2*h**2*r**2 - 23*h**2*r - 2*h**2 + 137*h*r*z + h*z wrt h.\nAnswer: -882*r**2 + 2544*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8426812 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 - 23. Suppose 0 = f - 0*f - 15. Calculate the remainder when u is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.08 - -6. Let s = -2955.01 + 2955.08. What is the third biggest value in y, 0, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 174854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6691*z - 144 + 144 + 6682*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 2*d + 2*d)*(2*d**3 - 2*d**3 - 6*d**3) + (-d**2 + 0*d**2 - 2*d**2)*(2*d**2 + 4*d**2 - 7*d**2) - 3*d**4 + 18*d**4 - 4*d**4 - d.\nAnswer: 8*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -5, 1\/16, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0*x + 4 = 3*t, 2*t = -2*x + 2. What is the remainder when ((-1)\/2)\/(x\/6) - -65 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.766 - 3.811. Which is smaller: -6 or p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 846 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2187256 divided by 404.\nAnswer: 5414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*j - 34*j + 1148 = 0. Suppose -k + 7 = -2*s, -s + 3 = 3*k + 2*s. What is the smallest common multiple of (28\/6 + -2)*k and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 241.98 - 242. Sort -1, y, 0.01 in ascending order.\nAnswer: -1, y, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.7 - 4.7. Let k = -3 + h. Let b = 5.966 + k. Round b to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 5. Let n = p + 0. Let m = 0.3 - 0.4. What is the smallest value in n, -2\/9, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**2 - 83*d**2 + 35*d**2 + 5*d**3 - 10*d + 9*d as s*d + x*d**3 + g + a*d**2 and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39659?\nAnswer: 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 33, 43, 53, 63?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 1332\/5*p**3 + 0 + 338\/5*p**4 - 416\/5*p + 1048\/5*p**2 - 7\/5*p**5 = 0.\nAnswer: -2, 0, 2\/7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -241 + 243. Let -97*c + 3*c**x + 136*c + 108 + 72*c = 0. What is c?\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 5. Let h(f) = 4*f**2 - 5*f**u - 3*f**2. Let i(v) = -3*v**2 - 4*v. Let c(x) = x. Let j(p) = -4*c(p) - i(p). Calculate j(h(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 54 + -2 + (-17 + -12 - -9)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwtrrllrele. Give prob of sequence et.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 - -49. Let z = 6.4 + -6. Which is the third smallest value?  (a) -2  (b) z  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8502565?\nAnswer: 5, 1700513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from idccdcdc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 705201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 7*s + 2. Give b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 5. Which is the fourth biggest value?  (a) -2  (b) -4  (c) 4  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -181 or -182?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20579, -20578, -20577, -20576?\nAnswer: -20575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1695981 a multiple of 971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -67 - a03?\nAnswer: -a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*h**2 + 107*h**2 - 95*h**2 - 76*h**3.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w**7\/w))\/w)\/((w**(5\/2)\/w)\/w))\/(w*(w\/(w*w*w**(-1\/3)))\/w*w)**(4\/17))\/((w*w\/w**2)**(-2\/99)*w**7*w*w**(-2\/13)\/w*w*w) assuming w is positive.\nAnswer: w**(-20453\/1326)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 6:59 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6 = -s + k, -3*k = -2*s - 8. Let p = -3\/3494 + -10341\/164218. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -g + 10, 5*g = 2*b + 1 + 15. Solve 3*k + 25 = -b*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-141)\/(-47))\/((-135)\/10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5664 and 491180.\nAnswer: 695510880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18490, -36660, -54826, -72988, -91146, -109300, -127450?\nAnswer: -145596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 9:03 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**2 + 2*p**2 - 6*p**2)*(-18*p**2 + 16*p - 16*p).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(99)*-2 + sqrt(99))\/(sqrt(324)*2).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1227095 and -0.1.\nAnswer: 122709.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m. Let l be x(-1). Let n be ((-930)\/8)\/(l\/12). Let y be -1 - (n\/(-55))\/3. Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -740, -2952, -6638, -11798, -18432, -26540?\nAnswer: -36122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**4 + 3*d**2 - 2*d**4 - d**4)*(-3*d + 0*d + 14*d) + (0*d - d - d)*(2*d**4 - 7*d**4 + 2*d**4).\nAnswer: -27*d**5 + 33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.32 - -0.58. Let k = -16998 + 16998.26013. Let p = w - k. What is p rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-4 - (-232)\/30). Let s = c - -2\/5. Do -5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 0*h**2 - 42 + 10\/3*h**3 - 45\/4*h**4 + 0*h. Factor b(i).\nAnswer: -5*i**2*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 11:02 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -102, -49, 252, 927, 2102, 3903, 6456?\n\"Answer: 21*f**3 - 2*f**2 - 88*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16438392 divided by 12.\nAnswer: 1369866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -152365 by 31.\nAnswer: -4915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u - 22. Let w be c(-11). Suppose -21 = -3*t - 3*z, w*t = -3*t + 5*z - 19. Solve -s - l = -2*l, 10 = -t*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 37 in increasing order.\nAnswer: -2, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - ((-20)\/(-25))\/((-8)\/(-60))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*y**3 + y**2 - 8*y**3 - 6*y**3.\nAnswer: 11*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2 = 0, -o + h + 35 = 2*h. Suppose 4*t - 3*t + 35 = 3*m, 0 = -3*m - t + o. What is the highest common divisor of m and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + (-1)\/1*3. Let a = -55 - -129. Let v = -70 + a. What is the biggest value in o, v, -2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2524, -19198, -64382, -152332, -297304?\n\"Answer: -2376*i**3 + i**2 - 45*i - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 u, and 1 e when three letters picked without replacement from {k: 1, r: 2, e: 2, u: 1, i: 5, n: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 - 14068*w + 24727026.\nAnswer: 2*(w - 3593)*(w - 3441)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7*z + 25 = 0, g + 20 = -6*z + 3*z. Which is the biggest value?  (a) -38  (b) 4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3266231661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 6 = 3*u. Suppose j - 3 = -q + 4, -u*q + 16 = 3*j. Solve q*w - 18 = 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + (sqrt(35)\/(sqrt(5)*4))**2 - ((sqrt(343) - (-4 + sqrt(343))) + 1)).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 90. Suppose 0 = -10*w + 113 + q. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-7 - (3 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 94*m**5 - 2*m**4 + m**2 + 2?\nAnswer: 5640*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 169.241 + -169. What is n rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3183 is divided by 1055.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*i + 4614*v + 472 = 4611*v, -v = -5*i - 0*v - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - -6*3\/(-6). What is the remainder when 23 is divided by c\/(-18) + 2300\/414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 301 and 473?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 281329623, 281329621, 281329619, 281329617?\n\"Answer: -2*p + 281329625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of -3*u**2 - 8\/3*u**3 + 2*u - 2*u**4 + 3. Let b(v) = -7*v**3 - 7*v**2 - 5*v + 2. Determine 6*b(y) - 5*p(y).\nAnswer: -2*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 190240578 and 18117.\nAnswer: 570721734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.2768 minus 5?\nAnswer: -87.2768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**2 - 28*l = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2*(-4)\/(-4))\/(2\/295)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2384 and 149.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.3124 + 1.6876. Which is the nearest to 9\/2?  (a) -1  (b) y  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 9*r**2 - 11*r - 8. Let n be h(-10). Suppose 1 - 46 = 3*b + 4*z, n*b + z + 35 = 0. Is -20 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 41\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 + -147 + (1 - 60)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -479*u + 1263 - 386 - 218*u.\nAnswer: -697*u + 877","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:49 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, c: 4, o: 1, p: 2, f: 2, e: 3}. Give prob of sequence cdd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 475.4245 litres?\nAnswer: 475424.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21196513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 8. Let x = 46 - h. What is the highest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -4 + -16 - (57 - 78078\/1029)?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*k + 6*k + 4 + k - 5 to the form f*k + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((0 - 1) + -3 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 53567778 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -22. Suppose 0 = -2*v + 4*h + 5 + b, 3*h - 32 = -v. Suppose 50 = 3*n + v. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 65979\nAnswer: 2\/65979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7557682.9 rounded to the nearest 10000?\nAnswer: 7560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 144*d**2 - 1. Let k be j(1). Suppose 0 = -5*i - 3*g + k, -i + 4*g = 2*i - 80. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2572 - 369. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -139 - -143. Solve -a*f = -10 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358655 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 9 - 1 - 3*g + 8*g.\nAnswer: 5*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 439*n**2 - 26*n**2 + 408*n**2 + 0*n**2.\nAnswer: 821*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 48*i**2 + 1344*i - 13. Calculate r(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/31))**(2\/27) assuming l is positive.\nAnswer: l**(-4\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4843 in 4\/9, -2, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -182 + 1276\/7. Let j be 7\/(-21)*(-9)\/(-12)*12. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, n: 5, a: 2, i: 5, u: 5}. What is prob of picking 1 i and 1 u?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 88, -14, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10210 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134928, 134918, 134906, 134892, 134876?\nAnswer: 134858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 81, 73, 47, -3, -83?\n\"Answer: -f**3 - 3*f**2 + 8*f + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - 111*j**2 + 15*j + 107*j**2 as x*j**2 + c*j + s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g + 21. Let q be u(-8). Let h(x) = -x + q - 2*x + x - 6. Let f(t) = -12*t - 6. Give 6*f(p) - 34*h(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + j**2 + j + 5. Suppose 7*y + 7 = 7. Let p be f(y). Solve 5*q + 1 = -3*l, -2*q + 3*q + p*l - 13 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + 4*p + 3. Suppose 8 = -2*y, -3*l + 6*l + 14 = -2*y. Suppose 26 = f + f. What is the least common multiple of f and t(l)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 8  (b) 1  (c) -7  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-264)*8\/1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8*((-147)\/28 + 4). What is the highest common divisor of 270 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-160)\/70)\/(-8))\/((-10)\/(-14))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 5 - 16*o**2 + 0 - 2.\nAnswer: -16*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -34 + 57. Solve n + 11 = -2*l, l = -4*n - 0*n - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n**5 + 6*n**4 - 24*n**3 + 8*n**2 = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-3 + -2 + (-2 + (sqrt(162) - ((sqrt(162) - (-3 + sqrt(162)*-2)) + sqrt(162))))**2 + 4)*-4.\nAnswer: -5926 - 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 64560 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3147*p**2 + 1 + 1120630*p**3 - 1119521*p**3 - 1 wrt p?\nAnswer: 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 8*d + 55 = 0. Let c = d + 23. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -56291*z**3 + 9*z**4 + 56291*z**3 - 2*z**2 + 2 - 3*z as m + f*z**4 + i*z**3 + a*z + g*z**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**2 - 2426*j - 16062 wrt j.\nAnswer: -2*j - 2426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15.8 + -16. Sort t, -0.1, 5 in increasing order.\nAnswer: t, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 5. Let r be u(-3). Solve t + 1 = -3*v, 9*v - 14*v - r*t = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -5 + 3 + (2 - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 103375*v + 24. Is h(1) 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 7:44 AM and 9:56 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p**3 - 25 - 7 - 17*p**3 + 18 + 14.\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 68804724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3123 minus 1417885278?\nAnswer: -1417882155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1682 is divided by 111?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26910953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of -u**2 - 9*u + 47. Let r be f(-4). Let h be 7\/13 - (3 + -2). Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -3207.\nAnswer: 8\/3207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 36*f**2 - 33*f - 146. Let o be t(37). Suppose 2*h - 6*h = 0. Suppose 6*r + o*r - 1912 = h. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) 51\/4  (c) -4\/7  (d) 0  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18 + 0*n**4 - 21 + n**3 + 2*n**4 to the form k*n + x*n**4 + h + d*n**2 + j*n**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 4 + 5*w**4 + (2*w + 2*w**2 - 4 + 4)*(139*w**2 + 1618*w**2 + 2069*w**2) as i*w + f*w**4 + b*w**3 + p + l*w**2 and give f.\nAnswer: 7657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -800\/3 + 208\/3*g - 2\/3*g**2 = 0. What is g?\nAnswer: 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 366 - 296. What is the smallest common multiple of 60 and i?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/210)\/((-1056)\/(-99)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {e: 1, y: 1, o: 1, q: 1, b: 2, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 + 45. Which is the third smallest value?  (a) 1  (b) -0.4  (c) 0.04  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 9*g + 18 = -5*g, -5*r - g + 13 = 0. Suppose -c - 4 = -3*l, 20 = r*l - 0*c - 5*c. What is the biggest value in l, 0.2, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 5*h + 7*h - 12, -4*v + 3*h + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2715 = 7*c - 1898. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-342)\/62814*(-1102)\/(-87)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-40)\/(-60) - (-2)\/(-3). Let f = -10.9 - -11. Which is the nearest to f?  (a) 5  (b) 9  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95076 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74370621 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10280*x**2 - 20643*x**2 + 8829*x**2)*((-2*x**2 + x**2 - x**2)*(x + 0 + 0) - 4*x**3 - 2*x**3 + 4*x**3).\nAnswer: 6136*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**5\/5 + 266*y**4\/5 - 3898*y**3\/5 + 18214*y**2\/5 - 22932*y\/5 = 0. Calculate y.\nAnswer: 0, 2, 7, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + ((0 + sqrt(612))*3)**2 + sqrt(612) + -3)*-4.\nAnswer: -22013 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = w - 347, -16*w - 6*w - 15*w + 33*w = 4*v - 284 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 342965940 divided by -53355.\nAnswer: -6428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*r**5 - 7115*r**4 - 27650*r**3 - 20625*r**2 = 0. Calculate r.\nAnswer: -75, -55\/18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2899.9 times -9625\nAnswer: 27911537.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6298 is divided by 939.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*i**3 + 5519*i - 175712?\nAnswer: 9*i**2 + 5519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -219747691 and 511.\nAnswer: -219747180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -12421, -12437, -12489, -12595, -12773, -13041, -13417?\n\"Answer: -3*d**3 + 5*d - 12423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3*r + 0*r = 51, 4*r + 81 = 5*x. Let b be (0 + -3 + 3)\/(-1). Suppose b*y + 245 = 5*y. Calculate the remainder when y is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(7\/5)\/d))\/d**(-8\/3) assuming d is positive.\nAnswer: d**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r*r**(-6\/5))\/r)\/(r**15\/r) assuming r is positive.\nAnswer: r**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-15)\/(-60)*(0 - -8). Solve 0 = -3*q, 3*b - i*q + 6*q + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 5*n**7\/7 + n**4\/4 - 8*n**3 + 2*n - 123. What is the third derivative of d(c) wrt c?\nAnswer: 600*c**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224, -439, -640, -821, -976, -1099, -1184?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 < -21370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -6. Let l = -0.13 - -0.45. Let g = l + 0.08. Which is the second biggest value?  (a) u  (b) -1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000039333869 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = o - 2*o - 2237, 0 = 3*w - 2*o - 6706. Let d = w + -695. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/192 and -43\/19458.\nAnswer: 622656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/4  (b) -0.1  (c) -0.14  (d) -14\/1627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = c - c. Let i = -12 + 20. Suppose i = -c*h + h. Calculate the remainder when 15 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 + 0.19. Let j = -0.09 + s. Which is the third biggest value?  (a) 0.5  (b) j  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -130.1 in 0, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 8*r**2 - 21*r + 3. Let j(q) = 1057*q + 3174. Let b be j(-3). Determine o(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 3*l = 4*r + 233, 2*l - 258 = 4*r. Is 0 + (-5 - -2) - r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -5*u - 14. What is the units digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 554, 552, 548, 542, 534?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/10)\/(2\/5). Let r = 149\/570 + 1\/190. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3\/2 + 867*g**2\/2 + 861*g.\nAnswer: 3*g*(g + 2)*(g + 287)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**5 + i**5 - 2*i**4 - i**3 - 3*i**5 + 0*i**4.\nAnswer: -i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence moo when three letters picked without replacement from zmzdzzozowzdzmzzzzzz?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53973321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 13*r - 42. Let p be w(6). Suppose p*t = 5*t - y - 2782, 3*y + 562 = t. Let i = -280 + t. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1719975 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 193\/95905950 and -53\/125070.\nAnswer: 1054965450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -36?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1206266442.\nAnswer: 2, 3, 201044407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*u + 7*u - 9 = 0, 0 = 3*j + 5*u - 7. What is the highest common divisor of 248 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.6 + 1.652. Let v = b - 0.052027. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1285\/514*(0 + (-1)\/(-10)). Which is the nearest to z?  (a) 3  (b) 0.3  (c) 1262\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from iixnoxiioo?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*i - 0*i - 116. Let u be (-1)\/i*22*2. Solve 5*j = u*j + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*n + 1119 = 26*n - 4*q, 4*n + 6*q = 4432. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/11*(-2530)\/2300.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 768721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -4 in decreasing order.\nAnswer: 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*g - 56 = -25*g. Are 4\/3 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -410*i + 4630 + 2614 - 975 - 939 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/5 + 1932108*n\/5 + 1932107\/5.\nAnswer: (n + 1)*(n + 1932107)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4687.62ml?\nAnswer: 4.68762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j**2 - 9*j + 5. Let v = -286 + 289. Calculate the remainder when 116 is divided by z(v).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of 15*a**4\/4 + 4*a**3\/3 - 5*a**2\/2 + 5*a + 49. Let f be -6*(3 - 2)\/(-3). List the prime factors of v(f).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -5*o**6\/6 - o**4\/12 - 173*o**3 + 3*o**2 - 114. Differentiate a(j) with respect to j.\nAnswer: -300*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -11*x**2 - 60*x + 30*x + 30*x. Let h(y) = -2*y**2. Determine w(h(r)).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -8. Let b(k) = 0 - 3 - 7*k + 12*k - 1 - k**2. Let i be b(y). Sort i, -3, 5 in increasing order.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 1)\/(1 + 1). Suppose -31 = -r*x - x. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 19*y**2 - 3*y + 3. Let d(w) = -2*w**2 - w - 1. What is -d(n) + k(n)?\nAnswer: 21*n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -25 + (8 - -6) - 36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of h**5\/12 + 11*h**4\/24 - h**3\/2 + 2*h**2. Let v(j) = 2*j**2 + 5*j - 1. What is 7*v(g) - 3*y(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 255 and 9?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -41 + 40.5. Which is the closest to 0.8?  (a) r  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -0.35  (b) -66  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 233287.\nAnswer: 79, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, -7\/8, 3, 4?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3573554 and 1218.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -457, -1824, -4103, -7294, -11397, -16412, -22339?\nAnswer: -29178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4108*y**3 + y**2*z**2 + 98*y**2*z - 20*y*z**2 - 6*y*z - 5885*z**2 wrt y.\nAnswer: 24648*y + 2*z**2 + 196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*v - 20*v - 2*k = 220, -4*v + 295 = -3*k. Suppose -322 = -14*a - v. Calculate the least common multiple of a and 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 4177*f - 136691. Give s(-33).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11.496 + -0.096. Let t = 11 - d. Let b = 0 + -0.5. What is the closest to 2 in -1, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from txtxqxhhhqhxhqhqxtx?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97.2 - -94.2. Let m = -2 - -2.5. Which is the nearest to -1?  (a) o  (b) -0.4  (c) m  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 45. Give g(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -791319 (base 12) in base 16?\nAnswer: -1d7585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 620*r + 7522. What is k(-11)?\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 15 = -5*r, -x = -2*r + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 3*n, 4*n - 8*z - 27 = -13*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*m**3 + 8 - m**3 + 5 + 25.\nAnswer: -m**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uukkduudud. What is prob of picking 2 u and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27957\/37276*(-2)\/33?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + -4)*3 - sqrt(612)*-1 - (1*sqrt(204)*3)\/(sqrt(432)*2).\nAnswer: -12 + 35*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1617.47 millilitres in litres?\nAnswer: 1.61747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s - 4870. Let v(b) = 29*b. Determine v(q(a)).\nAnswer: 87*a - 141230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s - 5. Let x be k(-4). Suppose 0 = 2*j + x*j - 30. 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: Add together 606452065037 and 0.03.\nAnswer: 606452065037.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 7. Suppose 6 = 5*d + 3*a - 19, g*d = 4*a - 14. Let s(w) = -1 + 4 - w - w. Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b**2 + 5*b - 5. Let r be a(2). Let v = 15 - r. Calculate the remainder when 50 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23048 divided by -5.\nAnswer: -23048\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4289 + -6276. Let c = h - -19907\/10. Find the common denominator of c and ((-236)\/20)\/(1*-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 168 + -182. Let g(j) = j**3 + 13*j**2 - 15*j. Let v be g(c). Solve -v = -4*t + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l**2 + 4*l**2 - 4*l**2)*(20 + 9*l - 20)*(l - l + 3*l).\nAnswer: -135*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 112 and 10480.\nAnswer: 73360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*q - 36 - 72 = 0, 0 = p + 2*q - 88. Let y be 203\/3 + 2\/6. Let d = p - y. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 191, 1465, 4921, 11651, 22747, 39301?\n\"Answer: 182*y**3 - y**2 + 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 507 = 3*h. Let g(l) = -l**3 + 14*l**2 - 16*l + 74. Let d be g(12). Do h and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 294.38 - 294.4. Sort -3, t, -20, 3 in increasing order.\nAnswer: -20, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -d**4\/4 + 2*d**3 - 7*d**2\/2 + 6*d + 5. Let l be h(5). Are l and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.3 + 4.3. Which is the third smallest value?  (a) 5  (b) y  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2163 and 741909.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5284239 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k*k**11)\/k*k*k\/(k**(1\/22)*k) assuming k is positive.\nAnswer: k**(285\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 3*v - 115. Give p(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 + 190*y - 10140. Calculate p(38).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6734?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 119997263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -7*h. Let m(a) = 3763724*a. Give m(z(v)).\nAnswer: -26346068*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 475 divided by 1.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 16. Let l = p + 0. Let c be (6\/5)\/(l\/60). Round c to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-7)\/4 - -2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5*d**2 - 26*d + 11. Let f(q) = -4*q**2 - 26*q + 12. Let b(o) = 4*f(o) - 3*u(o). Let p be b(-15). What is the highest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18985 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.06 + 0.08. Let n = 0.02 + 0.12. Let k = n - i. What is k rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + 9*h**2 - 27*h + 155. Let k be o(8). Find the second derivative of 66*z - 3*z**4 + 4*z**3 - 14*z**k + 4*z**4 - 19*z**3 wrt z.\nAnswer: 12*z**2 - 174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1183)\/(-21))\/(52\/(-7176)*-299).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**3\/(j\/j**(3\/2)) assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 106*o**6\/15 + o**5\/4 + 52*o**3\/3 - 13*o**2\/2 - 2*o - 1367. What is the second derivative of a(c) wrt c?\nAnswer: 2544*c**2 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*i**2 - 24*i**2 + 19*i**2 - 7*i**2 as w*i + k*i**2 + d and give k.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + z. Let p be w(4). Suppose 64 = 1201*x - 1217*x. What is the tens digit of 11*15\/p*x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 397 - 89. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*b + 349 = 86*b - 221. Let m be (-1 - 0)\/(1\/(-20)). Calculate the highest common divisor of b and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 283898*h**3 + 14*h**2 - 935976*h - 3 wrt h.\nAnswer: 1703388*h + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w - 1. Let p be t(-1). Let b = -3660 + 3657. Put 7, -5, p, b in ascending order.\nAnswer: -5, b, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 0.7  (b) 212  (c) 4  (d) 2\/5  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 37*m**3 + 3 + 61*m**3 - 116*m**3.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, u: 5, f: 3}. Give prob of picking 2 u and 2 f.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oko when three letters picked without replacement from ookkooykkkkook?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*j - 24*j + j - 22*j + 8*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 1151624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*v = -24 - 216. Suppose -5*g = -1 - 19. Let p be (-6)\/(-3) - (-2 + g). Solve 0 = y - 3*y + v, p = 3*r + 4*y - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 434195 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (4 + -8)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 7*o + 37, 4*a - 16*o + 21*o - 17 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 2 + (3 + -5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l - 26*l**2 + 15*l**2 - 6 + 16*l**2 + 2*l. Suppose 0 = -5*h + 2*h + 3*x + 51, -115 = -5*h - x. What is the remainder when y(-4) is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t - t + 2*t + 5*t - t - t + (4 - 4*t - 4)*(2 + 0 + 0) + t + 0*t - 3*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**5 - 47*y**4 + 732*y**3 - 2812*y**2 + 4048*y - 1920 = 0. What is y?\nAnswer: -60, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 495 and 49302?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 682.3296um?\nAnswer: 0.6823296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1196 and 4324.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -117  (c) -3\/2  (d) 298  (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - l - 2. Let n(z) = -2*z**2 + 2*z + 5. Let q(r) = 3*f(r) + n(r). Let c(p) = -3*p**2 + 2*p + 2. Give c(k) + 2*q(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13039?\nAnswer: 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(1 + -2) - -5. Suppose -i*r = -7 - 7. Suppose -2*x + r*x + 45500000 = 0. Round x to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*j**4 + 11*j**3 + 404?\nAnswer: -24*j**3 + 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 190, 195, 200, 205, 210, 215?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.85, -1\/4, 0.1 in ascending order.\nAnswer: -0.85, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 311 a factor of 1167114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4555.649 nanoseconds?\nAnswer: 0.000004555649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/7696077 and -127\/318?\nAnswer: 15392154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 267, -14, 32, 4.\nAnswer: -14, 4, 32, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2730 is divided by 1203.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(99)*2)**2 + -5 - (2 + ((sqrt(264) - (sqrt(264) + 2*sqrt(264)))\/sqrt(8))\/sqrt(3)).\nAnswer: 2*sqrt(11) + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/60 - b**4\/24 + b**3\/3 - 3*b**2. Let i(j) be the first derivative of a(j). Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence au when two letters picked without replacement from {m: 6, a: 2, e: 1, u: 4, f: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(14) - sqrt(42)\/sqrt(3))*-5)\/sqrt(2) - 2*sqrt(847)*5)**2.\nAnswer: 84700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w**2\/5 + 46314*w\/5 - 6616\/5 = 0. What is w?\nAnswer: 1\/7, 3308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*w - 127*w + 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/1230 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 494964996 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -7438164  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n. Let r be s(1). Is 19 a factor of -1 + r\/((-3)\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -1\/11, -1\/375, 0.2, -44, -4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2636)\/(-22) + 23\/(3795\/30). Let m be (-79)\/(-2) - 1\/(-2). What is the highest common factor of m and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in 126, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - 8 - (-340)\/20. Let b(n) = -44*n + 432. Let w be b(r). Calculate the highest common factor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 459 + -2753\/6. Which is the third biggest value?  (a) i  (b) -1.4  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8*1*(-121)\/(-22). Calculate the remainder when 3*1\/(-6)*d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -19 + (10 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -44598*g**4 - 14346 wrt g?\nAnswer: -178392*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 12 = -4*z - 16, -3*z = 3*s - 87. Differentiate -8*p**3 - 22 + 57 - s with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*6*4*sqrt(187))\/(sqrt(77)\/(sqrt(175) - (sqrt(175) - (sqrt(175) + sqrt(175)*2)) - sqrt(7))))**2.\nAnswer: 69092352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -198*x**2 - 12*x - 17. Let a be b(6). Let g = a + 10915. Let r(l) = 3698 - 8*l - g. Give r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = 3*k + 2*k + 4*r, 4*k + 5*r = -35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c + 35. Let r be i(-9). Let m be (r\/(-4) - 5)*-12. Solve -52*f + 49*f + m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -175, -449, -1191, -2635, -5015?\n\"Answer: -39*p**3 - p - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 9*m - 1. Let w be p(8). Let h(z) = 21*z + 32. Let b(r) = -32*r - 48. Let j(i) = 5*b(i) + 8*h(i). Is 9 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134114 (base 6) in base 13?\nAnswer: -5953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 7) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggtggggggt. What is prob of sequence gg?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -6*c - 32. Let x(t) = 12*t. Determine a(x(n)).\nAnswer: -72*n - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 176\/880*(1 - 3). Which is the smallest value?  (a) s  (b) -2  (c) 0.5  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 10:33 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 44018 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4075 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88621 is divided by 8860?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 + 56319*x - 4597986.\nAnswer: -3*(x - 18691)*(x - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 426 and 111612.\nAnswer: 111612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-27)\/(-6))\/3*22\/99. Put -1\/4, a, -8, 2 in ascending order.\nAnswer: -8, -1\/4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j - 4*z - 12, 0 = z + 4. Let f(q) = 3*q**2 - 2*q + 1. Let m be f(j). Does 8 divide (-6)\/(-3)*9 - m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (4 - (-1179)\/(-540))*(-87)\/(-1189) and -67\/820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 4, -235.9, 18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66, 199, 394, 651?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1854 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from abkbkbkckkb. What is prob of picking 2 k and 1 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2205 - 5?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**5\/3 + 4*x**4\/3 - 16*x**3\/3 - 64*x**2\/3 = 0. Calculate x.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 11 = 15. Calculate the remainder when 14 is divided by (8\/10)\/(x\/195).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.21  (b) 4\/5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 + 3. Let p(m) = -m - 7. Let q be p(-6). Let y(b) = b**2 + 1. Suppose -2*w = -5*i + 29, -4*i + 8*i + 23 = -5*w. Calculate i*y(u) + q*j(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 33663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 8904?\nAnswer: 1\/8904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, 3, -2\/9, -1.37?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/51, 0.3, -12, 4.5 in descending order.\nAnswer: 4.5, 0.3, 2\/51, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27 + -22. Which is the closest to 9?  (a) 1\/2  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*d + 14*d - s + 7 = 0, 5*d + 2 = 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 1\/74, 154?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -9390 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25399 + 9515 = -38*j. What is the highest common factor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -131560*n**2*o**2 + 93*n*o**2 + 90*n + 2*o**2 wrt n.\nAnswer: -263120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 6. Let y = 0.184 - 0.084. What is the nearest to 0.1 in m, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t + 7*t - 11*t + ((-1 - 2*t + 1)*(-5 + 4 + 3) - 958 - 2*t + 0*t + 927)*(9 - 3 - 1)*(-2 + 0 + 0).\nAnswer: 54*t + 310","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/20 and 115\/1338.\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4)*(-20)\/40?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 q, and 2 t when four letters picked without replacement from {g: 5, q: 2, w: 1, t: 4, k: 2}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3301*k + 2333*k - 21296 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 4 = 4*a, -324*c = -321*c - 5*a + 43 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 2*t**2 - 9*t**2)*(-2*t + t - 3*t)*(-6*t + 2*t - 3*t)*(4 - 1 - 5).\nAnswer: 448*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11122112 (base 3) to base 7.\nAnswer: -12611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 225 and 2282730?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o**3 - 4*o**2 + 2*o. Let l be u(3). Suppose -h + 368 + l = 3*d, -5*h = 5*d - 650. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**5\/2 + 18*u**4 + 465*u**3 + 3050*u**2 + 12375*u\/2 = 0. Calculate u.\nAnswer: -9, -5, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -5. Suppose 4*a - 104 = -n*a. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*r**3 + 335 - 335)*(2*r - 2*r - 2*r)*(-6 - 9 + 2 - 3).\nAnswer: -896*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add -244.9 and 0.\nAnswer: -244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148540?\nAnswer: 2, 5, 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-10) - (-26)\/10)\/(-7). What is the second biggest value in 3\/10, f, 16?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 176 and 13816.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 26*y + 4 - 6.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -96 + 20. Let d be x\/(-10) + (-5)\/5 + -3. Factor -54\/5 - d*m**2 + 2\/5*m**3 + 54\/5*m.\nAnswer: 2*(m - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 - z**2 - 3 + 2*z**4 + 3*z**2 - z in the form l*z**4 + g + p*z**2 + r*z + n*z**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22005 + 76612. What are the prime factors of g?\nAnswer: 7, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*g**2 + 458332*g - 916584.\nAnswer: -4*(g - 2)*(5*g - 114573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19 - 4208?\nAnswer: -4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -444*v + 34. Let l be z(6). What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26122189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 164\/20 + -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 77*l**2 - 9*l - 7. Let m(q) = 43*q**2 - 4*q - 3. Let o(k) = -5*g(k) + 9*m(k). Let t = 5 + -11. Calculate o(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8267 - 6202 = -59*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 3 - 2)*(2 - 2 + 2*c + 0 + 0 + 2*c + (c + 0*c + 0*c)*(0 + 6 - 4))*(-4 - 1 - 2 + (0 + 1 + 1)*(-1 - 2 + 1) + 2 + 1 - 7) as k + h*c and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(13\/2))\/(r*r**(-21)*r))\/(r\/r**(-6)*r\/(r\/(r\/r**(-24)))) assuming r is positive.\nAnswer: r**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7725985?\nAnswer: 5, 181, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6969 + 1073 = -278*t + 14391 + 3621 for t.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by (-2964)\/(-39)*(0 - (-3 - -2)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84 - 243*t - 158 - 125 + 94.\nAnswer: -243*t - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190*w + 18570 = -200*w. Let m = -1096 - w. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -w + 4*o + 155, w - 5*o - 59 = 0. What is the common denominator of w and 1\/79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-27) + 700\/9. Suppose 2*b - 2*i - 52 = 0, 2*b - 19*i = -22*i + 72. Suppose 0 = -2*k, k + z + b = 3*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-5)*r)**(-3\/4)\/(r*r\/r**(-17)*r*r*r**(-5\/2)*r) assuming r is positive.\nAnswer: r**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 483*117\/((-285012)\/464)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*j + 15*j**5 + 0*j + j**5 - 15 + 5 wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -4*w**2 - 3*w**2 + 3*w - w**2 + 26 - 14*w**3 + 13*w**3. Let f be k(-8). What is the third derivative of -180*d - 19*d**4 + 13*d**f + 180*d wrt d?\nAnswer: -456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*x - 36*x + 70 = 0. Suppose l + x - 39 = 0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4228, -4226, -4238, -4270, -4328, -4418, -4546, -4718?\nAnswer: -4940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 16*y)*(y + 0 + 0)*(-2*y**3 + 3*y**3 + 4*y**3).\nAnswer: 80*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1843727 or 1843729?\nAnswer: 1843727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 297288 - 5.\nAnswer: 297283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-165)*-7*55\/(-77).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 546?  (a) -3\/2  (b) -23\/7  (c) -3  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 + 59 + 4812 = -41*i - 143*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 + 61. Calculate the greatest common factor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 2340*z + 273780.\nAnswer: 5*(z - 234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c + 3*c - c - 6*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*m**2 - 16*m**2 + 0*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -73404000 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 0.23  (b) 0  (c) -0.2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 0*a + 4*l = -649, -2*l = 5*a - 1047. Let k = a + -1897\/9. What is the second biggest value in 0.1, k, -2\/7, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - j + 38 + 4 = 0, 0 = 2*o - 5*j - 28. Calculate the common denominator of 290\/(-48)*o\/(-13 + 6) and -67\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 - ((3 - 4) + -6). Suppose h*o + o = 130. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 1. Suppose -4 - 4 = -4*u. Let k(j) = 2*j**3 + 42 - 59 + u*j**3. Let l(d) = -k(d) + 6*w(d). Differentiate l(a) wrt a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-28)\/8 - -4). Let u(q) = -1 - 3 + 3 + 2 + 4*q**o - q. Let c(k) = -4*k**2 + k - 1. Calculate 6*c(p) + 5*u(p).\nAnswer: -4*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2 + 2 + (-2 + 6 - 3)*(1 + 4 - 3) - 4 + 2 + 1 + 1 + 1 - 5)*(0*s + 0*s - s**2) in the form n*s**2 + h + w*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 208004660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 20 = -b. Suppose 6 = -3*m + 21. What is the least common multiple of (18\/b)\/((-2)\/8) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4*x**3 + 3*x**2 - 7*x - 3. Let m be f(9). Let b = -21959\/8 - m. What is the common denominator of 13\/10 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) 1.918  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-144)\/60*((30\/(-1))\/(-3))\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 1\/534, 2\/3.\nAnswer: -3\/2, 1\/534, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281117 is divided by 52.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -30*t**2 + 7*t - 9. Calculate i(2).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -43 * 553017.4.\nAnswer: -23779748.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**4 + 2432*i**3 + 4*i**2 - 1092*i + 15 wrt i.\nAnswer: 12*i**2 + 14592*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3*sqrt(243))*-1 + 4 - ((3 + 0 + sqrt(243))**2 + (6*sqrt(243)*2)**2 + 5).\nAnswer: -35250 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z - 3*z - z + (-3 + 3 + 2*z)*(-3 - 3 + 4) + z - 4 + 4 + 0*z + 0*z - z + 28174 - 28174 + 1140*z to b + w*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9\/(-12)*-491 + (-13)\/52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6407 or -6790?\nAnswer: -6790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-18)\/(-24) - (-2772)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 146*s + 4424. Determine j(-103).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/12 and -73\/17412.\nAnswer: 17412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6233.775 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - -482786?\nAnswer: 482802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 386 divide 162420483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - -7 - 6) + (38 - 30) - (3 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of 5*j**4\/24 + 19*j**3\/3 + 10*j**2. Let y be n(-11). Let v be (-1 - -5) + (y - -15). Solve -12 = -2*g - v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -28 + 3 + 3*p - 19*p - 11 + 4. Let r be w(-2). Suppose 1 = l - 1. Solve 4*x + l + 18 = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -264 - -322. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 - c**2 + (5 + c - 5)*(10*c - 10*c + 8*c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l + 39. What is b(17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 take away -40095618790?\nAnswer: 40095618896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -251026*n**2 - 25248.\nAnswer: -502052*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130665877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 79736.\nAnswer: 398680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - c + 3 + (20 + 10 - 49)*(c - 4*c - 5*c) + c + c - 4*c - 2*c + 6*c - 3*c.\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + r = -105. Suppose 3*z = 5 + 4. Suppose 0 = z*o - 0*k - 4*k - 19, o - 5*k = r. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -584, -596, -606, -614, -620?\n\"Answer: l**2 - 15*l - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 100.04 - 0.04. Let b = -100.000043 + n. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 11945, 23510, 35077, 46646, 58217, 69790?\n\"Answer: z**2 + 11562*z + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u*(u*(u\/(u\/(u*u**(2\/37))))\/u*u)\/u))**(-28\/3)\/(u*u**(-1\/8))**22 assuming u is positive.\nAnswer: u**(-8323\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*3 + 6\/4*2. Suppose i = z + 8 - 44. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -j**9\/181440 + j**8\/7560 - j**7\/945 - 19*j**5\/30 + j**4\/12 + 53*j**2. Let i(g) be the third derivative of f(g). Factor i(t).\nAnswer: -t*(t - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/18))**(-24) assuming l is positive.\nAnswer: l**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*b**3 + 5*b**3 - 5*b**3 + 44*b + 83*b.\nAnswer: -33*b**3 + 127*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 39716\/6 - (-22)\/(-66) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**2\/9 + 676\/9.\nAnswer: -4*(k - 13)*(k + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.56806 tonnes in kilograms?\nAnswer: 32568.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2 + 39*d + 3. Let x be s(13). Solve u - 2*i - 1 = x, -u - 3*i = 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -371 + 1082 - 16*u - 13*u + 36*u + u**2. Is s(0) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + 57 - 77) + -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75261051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -202101202202 (base 3) to base 9\nAnswer: -671682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/47  (b) 1\/26  (c) 1  (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 3338?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -302*b**5 + 921*b**3 - 713067*b**2 wrt b.\nAnswer: -18120*b**2 + 5526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/1392 and -33\/4360.\nAnswer: 758640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -356 - -359. Suppose x + n*x - 3*w - 2940 = 0, x = 4*w + 735. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i + 13 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2 = -3*s + 2*s, -3*s + 6 = j. Suppose j = -2*a + 7*a. Suppose a*x = -4*x + 24. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 6*d**2\/7 - 110*d\/7 + 36\/7 = 0.\nAnswer: 1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -86 divided by 63623\nAnswer: -86\/63623","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 6 - 2 = 0. Find s such that 0*s**3 + 4*s + 0*s**3 + 2*s**3 - 24*s**5 - 10*s**2 + 18*s**5 + 10*s**h = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 bigger than 42.65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-51)\/((-714)\/(-812)) - -8?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 22\/(-42) - (-28)\/(-42). Which is the second biggest value?  (a) v  (b) -4\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(252)*-2*-3*1 + 4 + (sqrt(252) - (sqrt(252) + (-2*sqrt(252))**2 - sqrt(252)))*1.\nAnswer: -1002 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/7)*g\/(g**(-1)*g))**(1\/80)*(g**8*g*g*g*g**(-12)\/g*g*g)**(33\/2) assuming g is positive.\nAnswer: g**(1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003392 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 65\/(5\/20*4). Suppose 0 = 78*h - j*h - 2574. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a + 16. Let r be g(8). What are the prime factors of (-122)\/(-4) + (-4)\/r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/5))**(-1) assuming n is positive.\nAnswer: n**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12321 - -7376. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 4*m**2 - 16119736*m - 16119740 = 0.\nAnswer: -1, 4029935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -19706 divided by 2?\nAnswer: -9853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -30c9503 - 5?\nAnswer: -30c9508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3 - 1054*x**2 + 1051*x + 2106.\nAnswer: (x - 1053)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**10*(r*r**(-5\/6))\/r)**(-3\/8) assuming r is positive.\nAnswer: r**(-55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-14273030)\/(-2380) + (0 - 2\/28).\nAnswer: 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4048572064 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y + y**3 + 10*y**2 + 12 + 14 - 11. Suppose -20 = 28*x - 26*x. Let l be g(x). Solve -30 = 5*z + l*c, c + 12 = -4*z - 0*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363889748741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/2, -45\/38, 4, -17, -0.2, -11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, 5, 6, 4, 1.\nAnswer: -4, 1, 3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3 = -4. Suppose v = -f + 86. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 358 + -6?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-36)*-3*(-20)\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0247701701 to four dps.\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/5)\/(w\/(w*(w**(-3)*w)\/w)))**40 assuming w is positive.\nAnswer: w**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 45223506 to the power of 1\/2, to the nearest integer?\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 + -31. Let n(z) = 3*z - 10. Let d be n(p). Factor -3 + 4*v**2 + d*v**2 - 6*v**3 + 3*v**5 - 3*v**4 - 3*v**2 + 3*v.\nAnswer: 3*(v - 1)**3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5191 is divided by 1036?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 51000 = -51815. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -y**5 - 44082*y**4 - y**3 + 4*y**2 + 896*y + 1?\nAnswer: -60*y**2 - 1057968*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 22 = 3*s, 0*s + 8 = 3*s - 2*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 381396609 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 1424, -5, -41, -3, 36 in decreasing order.\nAnswer: 1424, 36, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-6)*12\/(-8). Is y\/4 + 3325\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/675 and 17\/1051275.\nAnswer: 9461475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = p - 6*p - 5, -4*p + 17 = 3*x. Suppose -4*b = 4*n - 32, b - x*b = 4*n - 32. Factor 5*u**2 + 5 - n - 2*u**2.\nAnswer: 3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*g + 2*g - 3*g)*(4 + 0 - 5) + 50 + 22*g - 50)*(-1 + 1 + 1).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 s when four letters picked without replacement from ssiisssssiiissii?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8839*l - 61273 - 124346 = 0 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -21 - (-99 - -125) - (23 - 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 1.4. Let n = -350 - -2456\/7. Let z = n - 1. Which is the second smallest value?  (a) 1  (b) m  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**4 - 3028*z**3 - 359488*z**2 - 8965376*z + 54190080 = 0.\nAnswer: -56, 5, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -414.13 - -412. Let h = 0.23 + n. Let q = h - -1.89865. What is q rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 22. Let y = s + 5. Let p be (y\/15)\/((-8)\/5). Which is the third smallest value?  (a) p  (b) 0.1  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i\/(i\/i**(-4\/5)))*i*i\/(i**12*i) assuming i is positive.\nAnswer: i**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 54192550 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 53516*a*q*s**3 - a*q*s**2 - 2*a*s**3 + 56*q*s**3 - 407*s**3 wrt a.\nAnswer: 53516*q*s**3 - q*s**2 - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 12*a - 184. Suppose -48 = 11*s - 224. Let j be p(s). Solve 4*v + 3*c - 23 = j, -4*v + 21 = c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from deyaiii. Give prob of picking 1 y, 1 a, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1027*y**3 + 1029*y**3 - 10*y**2 - 2*y**2)*(1 - 1 - y) + 5*y**4 - y**4 + 0*y**4.\nAnswer: 2*y**4 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1192 + -1196. Sort -2\/11, -28\/11, s, 0.1 in decreasing order.\nAnswer: 0.1, -2\/11, -28\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183 = 3*h + 3*o + 24, -h + 2*o + 47 = 0. Suppose 3*v = 5*q - 73, -q - 4*v + 101 = 4*q. Calculate the highest common factor of h and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 5, -493 in ascending order.\nAnswer: -493, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -0.5  (c) 5  (d) 11  (e) 0.73  (f) -1\/39\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89*-79336.\nAnswer: 7060904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330541?\nAnswer: 43, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15606.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 240 - 20*i**3 + 92 - 74*i**3 + 4*i**2 + 711 wrt i.\nAnswer: -282*i**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 909*n**4 - 936 with respect to n.\nAnswer: 3636*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -56491?  (a) -1\/2  (b) 0.3  (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8965*h - 11473*h = 13299*h - 1201332 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -2.8. Let y(d) = -11. Let o(i) = -i + 12. Let k(q) = 2*o(q) + 3*y(q). Let w be k(-4). Which is the closest to -1?  (a) w  (b) 6  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 23599*o + 3 - o**2 + 47192*o - 23593*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r - 5. What is f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -48*u**3 - u**2 - 6*u + 5. Determine i(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*y + 9342 = 53529. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 88, 1, -47, -226 in increasing order.\nAnswer: -226, -47, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.357467 litres in millilitres?\nAnswer: 7357.467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18896 or -18902?\nAnswer: -18902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 4*l**2 - 5*l - 246. Let w(h) = -h**2 + 1. Let q(a) = -i(a) + 2*w(a). Differentiate q(d) with respect to d.\nAnswer: -12*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*y - 105. Calculate the remainder when y is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-256 - 23*v + 256)*(2*v**2 - 4*v**2 + v**2).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(6\/(-3))*31. What is the highest common divisor of 217 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xstxxttt. Give prob of sequence xtsx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q + 67. Let g(b) = -b + 33. What is 5*g(t) - 2*j(t)?\nAnswer: t + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 8*f + 1. Suppose 4*c - x + 164 = x, 5*x + 150 = -4*c. Let r be ((-9)\/4)\/((-15)\/c). Let z be k(r). Solve p = -2, p = q - 3*p - z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 6*m**5 + 178*m**4 + 1658*m**3 + 3934*m**2 - 9864*m - 12312 = 0?\nAnswer: -38\/3, -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23765 is divided by 11855.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/106 and 129\/174680.\nAnswer: 9258040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 2 + (-10 - -18 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -6*h. Let n(k) = 81*k**2 + 5. Suppose 3*s - 5*y + 3 = -34, -3*s - 31 = -2*y. Let g(x) = 20*x**2 + 1. Let v(o) = s*g(o) + 2*n(o). Determine v(z(t)).\nAnswer: -648*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 14*i = 5*m - 47, -m + i + 9 = 0. Solve 2*z - 14*y + m*y = -12, 4*z + 5*y = 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 60\/6*7\/2. Let w be ((-14)\/y)\/(1\/(-5)). Suppose w*v = -5*j - v + 147, 125 = 4*j - 5*v. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 4*b = 19, -4*d - 7*b = -7*d - 49 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(315)\/(-4*sqrt(10)\/sqrt(2)) + 3)**2.\nAnswer: 3*sqrt(7)\/2 + 79\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from {f: 3, o: 12, p: 2}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9428640 and 288.\nAnswer: 28285920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + g = 0, 4*o - 2*g = o - 20. Let j = -1 - o. Suppose 0 = -2*f - l + 5*l + 38, -j*l = f + 1. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 22*r. Let g(i) be the third derivative of 83*i**4\/24 + 19*i**2 + 18*i + 4. Determine p(g(x)).\nAnswer: 1826*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 84888859 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 218 = -4*m + 2*y, 0 = m + 2*y - 57. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62886 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: What is the closest to 1 in -21\/8, -3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ezwzzzzewewewwww. What is prob of sequence zwww?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -3*v - 7*k + 8*k, -3*k - 23 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -3 - -4 - (11 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -50 in 4\/5, 6, 8\/15, -2, -0.2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -2*v**3\/3 - 3*v**2 - 2*v - 17. Let p be l(-4). Solve 0 = 2*q + 3*q + p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*t + s - 6*s, -2 = -4*t - s. Suppose 1 + 9 = 5*r. Let u be (3 - r)\/((-2)\/(-6)). Put t, u, 5 in increasing order.\nAnswer: t, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-2)\/2*((14 - 14) + -64) and 14.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -159, -322, -483, -642, -799, -954?\n\"Answer: h**2 - 166*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or 2\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.235 - 0.165. Let w be 444\/370*10\/(-18). Which is the closest to w?  (a) -75  (b) -3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23928 + 6458.\nAnswer: -17470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-4 + -6 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = o. Let h be (-4)\/6*3*(-15)\/2. Suppose -4*v + h = 7. Solve o*j - v*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.58?  (a) 6\/7  (b) 4\/7  (c) -2\/19  (d) 3  (e) 1.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9448 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b + 1. Let q(v) be the third derivative of -v**5\/30 - v**4\/8 + v**3\/6 - 5*v**2. Let c = 16 - 15. Give c*i(s) + q(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (52 - 25330\/493)\/(6*(-3)\/(-6))\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 935\/16 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -1, 0.115, -1\/5?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2385*n - 456. What is the thousands digit of l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ioix when four letters picked without replacement from xixokxk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 124*h + 11*h + 125*h.\nAnswer: 260*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24.58 - -0.88. Let p = x - -21.7. Sort -4\/3, 0.169, 3\/4, p.\nAnswer: p, -4\/3, 0.169, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 164.057nm?\nAnswer: 0.164057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from esqqe. Give prob of sequence ee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.05 + 0.05. Let a = h - -4. Let i = a - 2.999995. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3393212*y**3 - 796080*y**2 wrt y?\nAnswer: -20359272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 20*q**2 - 19*q - 1223. Let h(b) = -b**3 + 24*b**2 + 19*b + 1217. Let k(l) = 5*h(l) + 6*u(l). What is the first derivative of k(r) wrt r?\nAnswer: 3*r**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (21\/(-14))\/((-3)\/(-56)). Let x = r - -28. Let j = 0.02 - 2.02. Which is the closest to j?  (a) 5\/2  (b) 0.2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*u = 1690 - 1492 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 9*l**2 + 18*l + 3. Calculate p(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 53592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -i + 2*s, -2640*i = -2642*i - 7*s + 8 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1240607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/8514 at most -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*h - 10*h + 66*h - 8560620 = 0. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.96 - -0.95999094. Round p to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138 = 143118*g - 142980*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7707150 divided by 14850?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(108)\/sqrt(12)) - (5 + sqrt(1100))**2.\nAnswer: -1125 - 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 283979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3017.8 - 3289. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 2*a - 40, -7*a = 19*h - 21*h - 84. Let n be ((-6)\/4)\/(-3)*-8. Sort h, n, 1 in decreasing order.\nAnswer: 1, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.4832538 rounded to 2 dps?\nAnswer: 56.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4437.\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -3\/8, 2\/3, -3\/67, -35\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 7*l**2 - 8*l - 7. Let n = 59 - 67. What is a(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 1\/2  (c) -1505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5 = c. Let y be c*(-6)\/3 - -4. Let l(o) = 13*o + 81. Let u be l(-6). Is y greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 67.2 + 328.8. Let c = -584 + s. Let b = 187.636 + c. What is b rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2900 - -2903. Solve 35 = -j*m + 10*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 1*-2 + 11. Suppose 2*u = w + 44, -2*u + 3*w + 0*w + 28 = 0. Solve m*q + u = 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1456)\/195)\/((-508)\/3810)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2412597.703 from 0.02146.\nAnswer: -2412597.68154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8199 less than or equal to 7986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - ((-68 - -81) + -4 + 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j + 27. Let d be z(8). Suppose 124*h - 119*h = 30. Solve -k - h = -d*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -117, 1, 577, 1839, 4015, 7333, 12021?\n\"Answer: 38*q**3 + q**2 - 151*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - k + 2. Let o be y(-6). Let r = o + -6. Calculate the remainder when r is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/263 and 73\/16?\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 0 + 2)*(4 + v - 4) + 131*v - 2183*v + 741*v as y*v + p and give y.\nAnswer: -1310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 895*x - 4 - 467*x + 2488*x**4 - 427*x in the form k*x + m*x**4 + f*x**2 + w*x**3 + u and give m.\nAnswer: 2488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-102)\/(-30) - (-4)\/(-10). Suppose -u*n + n - 4 = -4*i, 0 = 4*i - 8. Suppose n*o + 33 = 4*o + 5*c, 0 = 5*o - c - 15. Solve 2*r = r + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izii when four letters picked without replacement from {v: 1, i: 3, z: 6, w: 1, f: 1, b: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*u - 105*u + 68 + 51*u - 2*u**2 as o*u + t + j*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nlnknnnnndnnknk. What is prob of sequence lnd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 14\/15 and ((-2)\/25)\/((-176)\/(-385)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21530991*w**4 - 23197525*w**2 wrt w?\nAnswer: -516743784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 87523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 69*q + 1095. Let u be r(25). Which is the nearest to 10?  (a) u  (b) 1\/2  (c) 0.3  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 531*x + 933*x + 374*x - 589*x + 569*x in the form k + u*x and give u.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 74, 162, 262, 374, 498, 634?\n\"Answer: 6*r**2 + 70*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.141 - 204.859. Let a = s - -96. Let y = a + 109.73. Round y to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000056462 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 21875 divided by 2\nAnswer: 21875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mafmffaaa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 6*u + 10. Let d(o) = -o. Let z(v) = -15*d(v) + 3*w(v). Determine k, given that z(k) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -5. Suppose r = -4*o + 22. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) -0.4  (c) -33143  (d) 0.6  (e) 0.5  (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16743 - -16858. What is the remainder when t is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -123 + 294. Let i = o - 171. What is the nearest to 0 in -1, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3808 a multiple of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4*sqrt(17)*1)**2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6072\/(-2898)*18\/48.\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*v + 85 = 0, -6*a + 7*a - 3*v = 80. Sort -4, -3, a.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 12 = -3*i, t = -2*i - 4*t + 19. Let k(l) = 34*l + 3 + l**i - 31*l - l**3 + 4*l**2. Give k(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 4*c**3 - 24*c**2 + c - 2. Let i be d(6). Sort 2, -14, i in increasing order.\nAnswer: -14, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 11*x - 35. Suppose 6*m - 2*m - 12 = 0. Suppose d = -5*o + 3 + 3, 4*d + 22 = 3*o. Solve o*v = -x*n + 30, -7 = -2*v + m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -35*z - 6. Let r be u(-4). Suppose -4 = 5*v - r. Is 10 a factor of 4\/10*(v + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.61 times 0.2072\nAnswer: 0.540792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1127 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -7\/9, -5, 1\/5, -1\/2 in ascending order.\nAnswer: -5, -7\/9, -1\/2, -2\/7, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3301021883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1370047 is divided by 685019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*n - 35*n - 8*n)*(-4*n**2 + 0*n**2 + 0*n**2)*(2 - 2 - n) to the form h*n**3 + g*n**4 + r*n + a + o*n**2 and give g.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-62 - -67 - (2 - -50))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 0.1  (c) -2  (d) 0.89  (e) -18  (f) 5  (g) 3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 8, 15, 34, 71?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -133, -141, -161, -199, -261, -353?\n\"Answer: -d**3 - d - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -18 + 2*i + 12 + 18 - i. Let m be k(-10). Suppose 0*p - 2*p = -y - 9, -4*p - 2*y = m. Solve v - 6*v + 3*o = -29, -p*v + 17 = -3*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 155, 142, 129, 116, 103, 90?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 4*c - 1133, 2*c - 844 = -c - 2*m. Let f = -127 + c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from {y: 6, s: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/23872 and 77\/2984?\nAnswer: 23872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/56 and -19\/8498.\nAnswer: 33992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*p**4\/2 - 77*p**3 - 6*p**2 + 45*p + 27\/2 = 0. What is p?\nAnswer: -3\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-113*h - 66*h - 151*h)*(-2*h + 0*h**2 - 2*h + 2*h**2).\nAnswer: -660*h**3 + 1320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.21 - 0.21. Let f = z + -11. Suppose -q = 2*q + 12. Sort f, -1\/5, q in increasing order.\nAnswer: q, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11927203.\nAnswer: 11927203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 4)*(-3*q - 8*q + 3*q)*(-24*q + 13*q + 18*q).\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 80, 162, 244, 326?\n\"Answer: 82*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5138040.9 and 103843.\nAnswer: 5241883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1024368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 326*i = -328*i - 50, -3 = 3*i. Which is the closest to 0?  (a) 0.034  (b) -0.4  (c) 5  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -1\/2, 6\/7, -15.18, -31 in decreasing order.\nAnswer: 6\/7, -1\/3, -1\/2, -15.18, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (25 - 25 + 41*t + 2 - 2 - 2*t + (-1 + 2 + 0)*(t - 1 + 1))*(571 - 29*t - 571) + 4*t**2 - 3*t**2 + t**2 in the form d*t + i*t**2 + a and give i.\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2403530843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n - 4*z, -z = 2*n + 374 - 376 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52846*k - 1 + 52837*k + 2.\nAnswer: -9*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3857.216ug?\nAnswer: 0.003857216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -97, -94, -81, -52, -1, 78, 191, 344?\n\"Answer: z**3 - z**2 - z - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (20\/26)\/((10812\/(-1326))\/106)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1331544 or 3?\nAnswer: -1331544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -185207780 divided by -92603890.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1921 a factor of 2429899794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(405) + 2 + (sqrt(405) - (sqrt(405) + 2))**2*-5.\nAnswer: -23 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0912 from -16472.\nAnswer: -16471.9088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2 - 2*w - 2. Let v(y) = -y**4 + y**3 - 10*y**2 + 10*y + 11. Let p(b) = -22*s(b) - 4*v(b). Factor p(o).\nAnswer: 4*o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*b)*(3*b + 12*b - b)*(2 + 12 + 7).\nAnswer: -882*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t - 100876. Let o(m) = -2*m - 69. Determine o(h(b)).\nAnswer: -2*b + 201683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, s: 10}. What is prob of picking 4 s?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 2*k = 2749 - 2766, 5*k = 5*d + 20 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -502*k - 188*k = -229*k - 12447 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 1\/6  (b) 0.09  (c) 2\/11  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*s - 4567 = 696 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-261)\/(-174)*344\/66 + -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 51816 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 0*f + 3*f - f. Let d(j) be the second derivative of -j**7\/420 + j**4 + 7*j. Let s(b) be the third derivative of d(b). Determine g(s(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2.7, 2, 1, 4 in decreasing order.\nAnswer: 4, 2, 1, 0, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/4 + (-1)\/2. Let k = -1.2 - -5.2. Let r = -3 + k. What is the closest to r in w, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101111011111011111 (base 2) in base 13?\nAnswer: -6a708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-35)\/105)\/((-2)\/56418) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004202397204 to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -129\/140 and 113\/1566530.\nAnswer: 3133060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 5934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*k + 22*k + 17*k - 61 - 60*k as n*k + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -794 = -2*c - 2*v + v, 4*c = -4*v + 1592. Let n = c + -386. Solve -5*m + 2*m + 3*t + 15 = 0, -m = 4*t + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22616 (base 13) to base 5\nAnswer: -4000144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -i + 6, -2*t - t - 4*i = 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/168 and 63\/5835952?\nAnswer: 122554992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 183119594 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7.8  (b) -4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -10*a**2 - 2*a - 2. Let n be x(-2). Is -37 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000176902 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l - 15*l = 3*l. Which is smaller: l or -1.12?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 306 in -4, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of v**5\/30 - 5*v**4\/24 - v**3\/3 - 143*v**2. Let q be z(3). Sort 24, -3, q, 5 in ascending order.\nAnswer: -3, q, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47928 + 44765 = 39*v - 321487. Is 60 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-36) - (-3 + 2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 108144*g + 15313. Is d(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16603.3 millennia to months.\nAnswer: 199239600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31\/3)\/((3\/(-15))\/(29\/((-6815)\/(-423)))).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.09 + 12.09. Let l = 12.00012 - d. Round l to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-2)*(-232)\/(-4872))\/((-8)\/(-1288))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + 0*j + 2*j)*(-1 + 0 - 2)*(15*j + 6*j + 9*j)*(5*j - 6*j + 0*j).\nAnswer: -90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -509157 from 4.\nAnswer: 509161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 4370*c + 448*c + 4172*c + 3112*c in the form x*c + l and give x.\nAnswer: 12102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 52 = -l - 62, 3*l + 4*a = -14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4248510 by 1.\nAnswer: -4248510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -5, -1\/3, 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*v - 737*v = 1271*v - 21864 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -4*i - 32, 1010*d - 16 = 1009*d + 3*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 3*d - 45, 0*d - 3*d = -4*c + 65. Suppose -3*u + 34 = -c. Let i = -13 + u. Solve 5*t = -5*p + 15, -4*t = i*p - 0 - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 65*y + 68*y = -186648, 2*f - 62200 = -y. Is f a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 11*l**2 - 26*l - 13. Let a(p) = 5*p**2 - 12*p - 6. Let q(z) = -13*a(z) + 6*k(z). Let n(d) = 242*d**2. Give n(q(b)).\nAnswer: 242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24615 and 5571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-2*-5)\/(sqrt(300)*1))**2.\nAnswer: 2299\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 60313.72 centuries?\nAnswer: 72376464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -8*n**3 + 11*n**2 + 13*n - 271. What are the prime factors of c(-16)?\nAnswer: 5, 7, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d + 2. Let i be m(-5). Suppose i = h - 0*h - r, -15 = 5*h + 5*r. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -29\/5. Let s = 0.3 + -0.1. Let x = 0.2 - s. What is the smallest value in t, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 22024797 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n**3 - 5*n**2 - 4*n - 1. Let d be p(-3). Suppose 3*a + 22 + 14 = 4*z, 0 = -5*a - d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1041804241?\nAnswer: 59, 127, 257, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggj when three letters picked without replacement from jggjgggjgggg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**2 + 4*i + 5. Let c be g(2). Let p be -2*c - (32 - 34). Solve 18*f - 15*f = p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 77 - n**3 - 233 + 80 - 2*n - 2*n**2 + 2*n**4 + 78 as h*n**4 + z*n**3 + y*n + x*n**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, h: 7, m: 1}. What is prob of sequence heh?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - 12*b**2 + 4*b + 29. Let r be u(-14). Suppose -139 - r = -4*n. What is the common denominator of 29\/14 and (82\/(-20))\/((n\/15)\/7)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.68 - 12.9. Let q = -0.02 - m. Which is the nearest to -1?  (a) 0.11  (b) -0.5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1 = -22. Let m(v) = 21*v**2 + 29*v**2 + 1 + 37*v**2 - 11*v**2. Let s be m(-1). What is the greatest common divisor of t and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-4))**(-29))**6*(j**0\/j)**(-17\/7)\/(((j\/(j*(j\/j**1)\/j*j))\/j)\/((j**7\/j)\/j)) assuming j is positive.\nAnswer: j**(4931\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6583 and 6628994?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46558 - 27312. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (360\/270)\/((-2)\/(-12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*b**2 + 7*b**2 - 11*b**2 to the form v + c*b + n*b**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*c = 2*c - 8, 0 = 5*c - 10. Let f(b) = -q*b + 0*b**2 + b**2 + 2 + b. Let r be (4\/(-10))\/((-174)\/30 + 6). Calculate f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(66) - -1*sqrt(66))*-5 - -4*(sqrt(66) + (sqrt(66) - (sqrt(66) - (sqrt(66) - -2*sqrt(66)) - sqrt(66))) - sqrt(66)))\/(sqrt(384)*-4))**2.\nAnswer: 99\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*t + 3 - 3 - 4*t.\nAnswer: 33*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**4\/4 - a**2\/2 + 2*a + 78. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001213104 to 6 dps.\nAnswer: 0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -301.3 + 178.8. Round f to the nearest integer.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -4, -34, 1, 0 in decreasing order.\nAnswer: 23, 1, 0, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f - 46. Let u be d(23). Solve u*q + 4 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 102 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/9*(-35 + (-21)\/3). Let p be 36\/(-252) + (-50)\/g*-4. Solve 9*w - p*w = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 224*q + 6431. Is y(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1075139.\nAnswer: 13, 191, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(-8)\/(-108) - 28240\/9. Is -3137 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10513 + 19248. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/2, 0.08, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -101.0000485 + 101. What is p rounded to six dps?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 106119553\/251 - 422789. Let k = l - -50089\/13554. Find the common denominator of -89\/4 and k.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 9, 46 in decreasing order.\nAnswer: 46, 9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 9 = -21. Suppose 2*b - 4*p - x = -0*b, 2*b - 5*p - 6 = 0. Let s(g) = 46*g - 47*g - b + 3. Let u(k) = 18*k - 2. Calculate s(u(a)).\nAnswer: -18*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 6:37 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 325677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus 1115.147147972?\nAnswer: -1117.147147972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, i: 4, d: 1, a: 3, b: 1}. What is prob of picking 1 j and 1 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 8406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tktt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 3*m - 45 = 0, -h = -874527*m + 874522*m - 6 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(((p**(-2\/3)*p)\/p)\/p))**11\/(p**2*p*(p*p*p*(p*p\/p**(-19))\/p)\/p*p))**(2\/13) assuming p is positive.\nAnswer: p**(20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96.1 + 112. Let g = -1.9 + j. Let y = g - 16. What is the second biggest value in y, -1, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, 1\/3, -2\/3, 0.2 in descending order.\nAnswer: 33, 1\/3, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -197*n**3 + 11*n**2 + 16*n + 3 + 196*n**3 + 5. Suppose w - 18 = 3*v, -3*w + 5*w = v + 31. What is the remainder when f(12) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(90) - -1*sqrt(90)*-2) + sqrt(90) - sqrt(90))\/(-1*sqrt(600) + sqrt(6)))\/((sqrt(105)\/(sqrt(3)*-2 + sqrt(3)))\/(-1*sqrt(7)*1)).\nAnswer: -2 + sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, 4, 17, 32?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/((-8976)\/154)*6\/21.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 24*h + 75 = 26*h, -2*h - 3 = y for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*h**3 + 6\/11*h + 6\/11*h**2 + 2\/11.\nAnswer: 2*(h + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -4\/7, 2\/11, 8158, 0.6, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -13. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 2*a + 36 = 0. Let c(s) = -27*s + 1. Let k be c(a). Suppose v - 55 = -5*g, -g + 5*g = 4*v - k. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**4\/4 + 2*d**3\/3 - 3*d**2\/2 - 2*d + 208. What is x(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {k: 4, l: 3, v: 6, s: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 14, -1, 2\/37 in ascending order.\nAnswer: -1, -2\/3, 2\/37, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/387866?\nAnswer: 1\/387866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-260))\/(-6*24\/(-720))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 5*t**2 + 5*t - 4. Let d be h(4). Suppose 0 = i, -i + 526 = 2*l - d*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v + 22. Let u(i) = -593*i - 21. What is -s(l) - u(l)?\nAnswer: 594*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -3*w**5\/5 + 27*w**4\/2 - 108*w**3 + 357*w**2 - 441*w + 29. Factor y(h).\nAnswer: -3*(h - 7)**2*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + a**2 - a + 1. Let h(u) = -5*u**3 - 6*u**2 - u + 2. Let o(w) = 6*g(w) + h(w). Let k(t) = 3*t**3 - 20*t + 23. Give 6*k(d) - 17*o(d).\nAnswer: d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220741 is divided by 703?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1185 = -6*x + 70*x + 15*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 97.67 + -99. Let w = -3.35 - d. Round w to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1222700, -2445390, -3668092, -4890812, -6113556?\n\"Answer: -b**3 - 1222683*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 386 divide 244114892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -7*d**5\/60 - 2*d**3\/3 + 2*d**2. What is the derivative of b(n) wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3*s**3 + 11*s - 5. Suppose 5*c = -27*a + 29*a + 4, 4*a + 2*c = 16. Let n(p) = 2*p**3 - 6*p + 3. Calculate a*z(y) + 5*n(y).\nAnswer: y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 2*l - 25 = 0, -255*p + 251*p - 2*l - 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -44*n**3*r**2 - 102*n**3 - 12*n**2*r**2 - 4*n**2*r - 23*r**2 wrt n?\nAnswer: -264*r**2 - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -172 - -168. Which is the closest to 3?  (a) l  (b) 1\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from {n: 1, l: 11, c: 1, i: 4}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 227420 is divided by 509?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 3)*(-q - 3*q + 2*q) + 40*q + 54 - 54)*(2*q + 0*q - 2 - q).\nAnswer: 36*q**2 - 72*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 18. Solve l = o + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -686831 smaller than -686820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 25921.\nAnswer: 25905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -20, 65, 198, 373, 584, 825, 1090, 1373?\n\"Answer: -j**3 + 30*j**2 + 2*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 13*h**2 - 278*h - 62. What is r(11)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -325 by 149.\nAnswer: -325\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2748 by -687.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 305833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -94886272 divided by 4\nAnswer: -23721568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/21)\/(o**(-8\/3)\/o))\/(o**(-44))**(1\/18) assuming o is positive.\nAnswer: o**(391\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(56\/48)*1\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1320 and 5115.\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 2060 divide 8132880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 88 and 0.051.\nAnswer: 4.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3374)\/(-9158)*6\/(-21)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 229\/220?\nAnswer: 229\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvxdvddvvdvvvv. What is prob of picking 1 v and 2 d?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, c: 3, p: 4}. What is prob of sequence ppcc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -4*m + 18752, -4695 - 14056 = -4*m + 5*j. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 1:59 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7121, 14258, 21397, 28538, 35681?\nAnswer: 42826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4255754\/9 - 472860. Determine b so that 4 + 2\/3*b**3 + 2\/9*b**4 - q*b**2 - 10\/3*b = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111220 (base 3) to base 8.\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.8 times -43132\nAnswer: 77637.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -318.9632328+-848\nAnswer: -1166.9632328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 11*a**2 - 9*a + 12. Let s be p(-10). Suppose -3*n - 246 = -0*n. Let b = n - -87. Solve 0 = -s*c + c + 2*m + 2, 2*c - b*m = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 1601 + 24745 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + i**2 - 5*i + 3. Calculate t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55483542?\nAnswer: 2, 3, 101, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/7  (b) 499228  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 652 = 181. Let f = v - -155. Does 9\/7 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y - 9 = 0. Let a(z) = z - 1. Let g(j) = j - 1. Let q(k) = y*a(k) + 7*g(k). What are the prime factors of q(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 4:46 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -952 = -1651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -114*h + 4. What are the prime factors of t(-5)?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12416871 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -6*v - 2 - 8*v - v**2 - 8. What is the remainder when n(-12) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {w: 1, y: 1, t: 1, e: 1, d: 2, a: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 3. What is the nearest to y in 4, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1229 is divided by ((-3)\/2)\/(736\/2240 + (-2)\/5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4250604 by 74572.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*v - 3 + 73*v - 37*v.\nAnswer: -8*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 z, 1 x, and 1 l when four letters picked without replacement from {g: 9, m: 5, z: 2, l: 1, x: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-1)\/18)\/(2856\/(-708) + 4) and (103\/(-315))\/(6\/15)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -4130\/899?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 3*f - 99, 3*d = -d + 5*f + 87. Let l = d - 24. Suppose -l*x = -4*u - 80, -4*x + 82 = -2*u - 2. What is the remainder when 87 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 35  (c) -8509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express a - 13*a**3 - 2*a**2 + 61*a**3 - 10*a**3 + 1 - 49*a**4 - 14*a**3 - 21*a**3 in the form t*a**3 + k*a**4 + o + v*a + i*a**2 and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/28 and -41\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 0 - 1)*(-6*v - 12*v + 8*v) + 0*v + 2*v + v)*(4*v - 4*v + 2*v)*(2*v + 5 - 5) to z*v**3 + u + c*v**2 + s*v and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*b + 5*x, 4*b - 7 = 13*x - 12*x. Solve b*j + 3*j + 40 = 5*o, 2*o - 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1256180 is divided by 3085.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15713, 15711, 15709?\n\"Answer: -2*k + 15715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(3\/20)*u\/u**12*u*u)\/(u**(-30)*u*u**(1\/7)))**(-24\/13) assuming u is positive.\nAnswer: u**(-1338\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 67117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1395954*a**2. Let k(l) = -13*l**2. Give k(w(u)).\nAnswer: -25332938411508*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - z. Let c(d) = -14*d. Suppose -6*l - 8*l = -24*l - 20. Determine l*r(k) - 2*c(k).\nAnswer: -2*k**2 + 30*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -183 - -192. Suppose 10*c - 140 = -10*c. Solve c*s + j = -5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 2*f**5\/21 + 128*f**4\/7 + 7114*f**3\/7 + 376160*f**2\/21 + 118400*f\/7 = 0.\nAnswer: -111, -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 8*d**2 - 8*d - 2. Let m(p) = -p**3 - 15*p**2 + p + 21. Let g be m(-15). What is the remainder when 62 is divided by n(g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88830 and 42?\nAnswer: 88830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58352 - 58344. Suppose 3*a - 142 = -5*z, 4*z - 98 = -2*a - z. Calculate the least common multiple of a and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c - 6. Let s(m) = m. Let a(u) = u + 4. Let v(w) = a(w) - 3*s(w). What is 5*g(x) + 7*v(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cky when three letters picked without replacement from {u: 1, k: 3, e: 2, n: 10, y: 1, c: 1}.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -772*t + 663 + 222*t - 665 as a + z*t and give z.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48 - -43. Which is the nearest to -1?  (a) g  (b) 1\/10  (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 185*n + 24. Let k(v) = -5177*v - 668. Let l(s) = 167*g(s) + 6*k(s). Let c(t) = 7*t. Give l(c(r)).\nAnswer: -1169*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -236 divided by 59\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/(-45))\/(11656\/(-558))?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-8)*t)\/(t\/(t*t**19*t*t)*t)*t**(1\/11)*t\/t**(-7) assuming t is positive.\nAnswer: t**(232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*j**3 - 55*j**2 + 109*j**2 - 54*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 3927, 4, 3 in decreasing order.\nAnswer: 3927, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 210 and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2*b**3\/3 - 2414*b**2\/3 - 253840*b\/3 + 1329800\/3 = 0.\nAnswer: -1090, -122, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1011320 - -1031?\nAnswer: 1013011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*j**3 + 3 + 3*j**2 - 3 + 29*j**3.\nAnswer: j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 11*k - 5. Suppose -2*p = -6*p + 16. Suppose p*l - q = -2*q + 5, 3*q = 5*l - 19. Is z(l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1204 divided by 13.\nAnswer: 1204\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2923*m - 1523*m**3 + 2923*m + 5820*m**3.\nAnswer: 4297*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6996257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -426210*z**2 + 509300.\nAnswer: -852420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 4 + 45*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**4 - 49*l**3 + 101*l**2 - 33*l. Suppose 15*g + 5 = 20. Let q(n) = n**4 - n**3 - n**2 - 2*n. Let h(m) = g*i(m) + 6*q(m). What is o in h(o) = 0?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 11 = 2*m, -101*m - 3*b + 9 = -102*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 6*m - 16. Suppose 2*y + 10 = 0, 31*a + m*y = 27*a + 6152. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1075758, 2151513, 3227268, 4303023, 5378778?\n\"Answer: 1075755*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-2)\/8*-7. Put 4, 0.6, p in decreasing order.\nAnswer: 4, p, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - k**2 + 12*k - 8. Suppose -5*r + 3*b - 29 + 8 = 0, 5*b + 39 = -4*r. List the prime factors of c(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*k + 81774 = 27*k. Is 45 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*g = 20, 4*g + 32 = 2*k - 8. Suppose -s + 0*s + 60 = 0. What is the smallest common multiple of k and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 15 = -3*n, -3*k = -4*n - 2*k - 37. Let c(p) = p**3 + 10*p**2 - 2*p - 14. Let i be c(n). Solve -2*q + 4 + i = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37637337 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2, -12, -56, -148, -306?\n\"Answer: -3*v**3 + 3*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 191 - 951\/5. What is the nearest to 0 in p, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -64.472706 - -65.4727. Let i = -0.5 + -0.5. Let o = i + r. What is o rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o**2 - 15*o + 7. Let l be i(7). Suppose l = -5*n + z - 2*z + 134, -5*z - 58 = -3*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 301\/22 + -153\/11. What is the common denominator of -17\/16 and w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 24. What is the nearest to -1 in 0.4, v, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 14 = 4. Suppose -b*i - 6*i = -648. Is 81 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - x + x)*(-1 + 2*x + 1) + 4*x**2 - 5*x**2 - 2*x**2 + (-x - x + 4*x)*(5 - 2*x - 5) + 2*x**2 + x - x - 4*x + 4*x + x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 19*c**2 + 3450*c + 10284. Give b(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/(((o\/(o*o**(5\/4)\/o)*o)\/o)\/o)*o*o*o*o**(-7)*(o**(-1\/4))**(-6) assuming o is positive.\nAnswer: o**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuu when three letters picked without replacement from uuxu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 2326?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.006, 319, -4\/5, -0.08?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3808 is divided by 174.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 48793379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 6*n**2 + 2*n - 6. Calculate the least common multiple of q(-5) and (19\/(-3) - -6) + 4\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*4\/3*(-81)\/(-72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/6*-3*-1. Is 10 a factor of w - (3 - (76 - 2 - 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*n - 6*n + 1 + 1 - 20*n as s + w*n and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83 divided by 4.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2036011?  (a) -2\/21  (b) -3\/5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 129341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 531*q**6 + 23090*q**4 - q**3 + 26405*q**2 + 16*q - 349 wrt q?\nAnswer: 63720*q**3 + 554160*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 5892988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -8*w**3 - 2*w - 5. Let q(o) = -o**3 - 1. Let b(z) be the second derivative of z**3\/6 - 7*z**2 - 20*z. Let u be b(8). Calculate u*q(h) + l(h).\nAnswer: -2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/7)\/t)\/((t*((t**(2\/5)\/t)\/t)\/t*t)\/t*t))**(16\/3) assuming t is positive.\nAnswer: t**(-304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r - 4. Let i be 1\/(-2) - (-2)\/4. Let m be y(i). Is 11 a factor of 44\/(-6)*6\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 264280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) -0.3  (c) -0.236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3152 <= 12607\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -417 + 417.237. Let z = -4969 - -4969.2257. Let c = z - g. Round c to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 782 - 31a9a?\nAnswer: -31318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3604, 2512, 688, -1868, -5156, -9176?\n\"Answer: -366*p**2 + 6*p + 3964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -39, -40, -43, -48, -55, -64, -75?\n\"Answer: -c**2 + 2*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (((-25)\/(-2))\/5)\/(10\/24). Solve -18 = s*x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9374.23 rounded to the nearest ten?\nAnswer: -9370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2477*s**3 - 4993*s**3 + 2511*s**3 - 1.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9626\/9 or -1070?\nAnswer: -1070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3666899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 16*g - 64 - 32 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*y = -25*y + 10. Let j = 0.6 - 0.5. Which is the second smallest value?  (a) -7  (b) y  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/5*100\/(-210).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -290 = -7*x + 151. What is the third derivative of -10*f**2 + 3*f - 4*f**2 - 63 + x - 6*f**4 - 3*f**3 wrt f?\nAnswer: -144*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -355*h**2 - 189*h**2 - 8*h**4 + h**5 + 12*h**4 + h**5 wrt h?\nAnswer: 120*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 795802?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1242117.99963 - 1242134. Let o = -16 - s. What is o rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 234242443 (base 5) to base 15\nAnswer: 167233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1042.21728 - 612.69.\nAnswer: -1654.90728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -1132*b + 54. Let x be m(-2). Suppose -25*a - 343 + x = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + s - 5*s)*(7 - 6 - 8)*(-5*s**3 - 7*s**3 - 2*s**3).\nAnswer: -588*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8 - (-1 - 0 - -2). Suppose -o + 7 + 0 = 2*s, 0 = -4*o + 4*s + 16. Suppose 4*g - 8*g = -16. Solve g*r + 4*w - 28 = 0, -o*w + 2*w + y = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.51906 or -7\/2?\nAnswer: 0.51906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - t)*(-2*t**2 + 3*t**2 + 0*t**2) + 4*t**3 - 6*t**3 + 4*t**3 + 0*t + 0*t + 10*t**3 + 2*t**3 - 3*t**3 - 4*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3604 divided by 22410.\nAnswer: -1802\/11205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-37 - 2) + (280 - 253 - (0 - -34))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1017267 is divided by 508489?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 + 5*i**2 - 8*i - 6. Let n be w(-6). Let l be ((-2)\/n)\/(3\/(-54)). Let z = l - 4. What is the biggest value in -1\/4, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4029 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 19 - 5 + 7379*a**2 + 2 - 22 - 7380*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1063 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10637174?\nAnswer: 2, 5318587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-364)\/13)\/(-2) + 6299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = w - 5, -6 - 19 = -5*w. Let b be (15\/5)\/(1 + 0). What is the second derivative of v*h - h - b*h**2 + h**2 wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100\/360*36\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.8 + -30.8. Let h = 25.1 + y. Which is the nearest to 6?  (a) -3  (b) -0.3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, b: 1, g: 1, z: 1, u: 2, f: 2}. Give prob of sequence gv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84\/109 + 806\/763. Factor i*u**2 + 44\/7*u + 242\/7.\nAnswer: 2*(u + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 41 - 109. Let y = -18000 - -18007. What is the remainder when z is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -7*b**3\/3 + b**2\/2 + b + 2. Let i be n(-4). Let t = i + 162. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 67265 and 73380?\nAnswer: 807180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 5*i**2 + 7*i - 3. Let y be f(5). Suppose -5*u + 0*u + 1 = -2*d, -d = 4*u - y. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 2*a - 786, -4*l + 426 = 3*a - 200. Let d = 307 - l. List the prime factors of d.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and 4374475.\nAnswer: 3062132.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 54877.28s in nanoseconds?\nAnswer: 54877280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddmm when four letters picked without replacement from {p: 4, d: 3, m: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*k = k - 206*k - 4097 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0.2, 63 in increasing order.\nAnswer: -1\/3, 0.2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/21 + 4840*p\/21 - 69696\/7.\nAnswer: -2*(p - 2376)*(p - 44)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 (base 8) in base 16?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 242, 695, 1384, 2309?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 16*f**3 - 35*f**2 + 19*f + 30. Let n(l) = 3*l**3 - 7*l**2 + 4*l + 6. Let x(q) = -2*h(q) + 11*n(q). Give x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4423247 milligrams to nanograms.\nAnswer: 442324.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*s = 3*s + 29, 3*g = 3*s + 27. Let b(f) = -2*f**2 + 4*f + 4. Give b(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f**3 - f. Let j(v) = 7*v + 6. Let a be (-56)\/42*(-3)\/(-4). Let h(t) = -t**3 + t + 1. Let n(g) = a*j(g) + 6*h(g). What is -3*n(o) + 2*q(o)?\nAnswer: 6*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2463*m - 973*m + 33931 = -1493*m - 64508 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 449.05 * 3386\nAnswer: 1520483.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1921209987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 244075 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 3823.362 years?\nAnswer: 3.823362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 10:55 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5533 = -x, 4*l + 2*x - 7500 = -1966. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20817810\/17 at least 1224577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*z - 3. Let h = 0.21 - -0.59. Which is the nearest to 0?  (a) h  (b) z  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**4 - m**3*w**3 + 11*m**2*w**3 + 3*m*w**3 - 7*m - 4*w**3 wrt m.\nAnswer: -12*m**2 - 6*m*w**3 + 22*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-15\/7)*i)\/i**(-2) assuming i is positive.\nAnswer: i**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24819 + -98139\/4. Let w = -8025\/28 + h. What is the common denominator of 0 - ((-6)\/52 - 0) and w?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/23?  (a) 2  (b) 0.2  (c) 1\/7  (d) -40\/9  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1176 divided by 196?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12161533, 48646149, 109453847, 194584633, 304038513, 437815493?\nAnswer: 595915579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000169 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 4*j**2 + 5*j - 4. Let r = 11 + -6. Let o = -1 + r. Is y(o) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 13) + -10 + 29 + -22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**5\/9 + 14*q**4 + 688*q**3\/9 - 152*q**2\/3 - 5888*q\/9 - 2176\/3 = 0.\nAnswer: -4, -2, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 3*d**2 - d + 2. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -l**4\/4 + 2*l**3 + 9*l**2\/2 + 4*l - 3. Is s(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1580\/70 - 22)*(-1589)\/(-2). What is the greatest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, s: 1, v: 4, o: 5}. What is prob of picking 2 l and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + 4 + 2 + -2. Suppose 5*b + o - 85 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*y + 10*y + 63. Let a(l) = -l + 4. Let z be a(4). Solve y = k - z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 20 = -4*w, -2*w = -5*w + 15. Suppose 22 = 3*f + 7. Solve v = i + f*q + 12, 24 = 5*i + 3*q - 6*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -108*k**3 - 7*k**2 - 27*k - 5. Let c be r(-5). What is the common denominator of 121\/54 and c\/1080 + 6\/16?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46020827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2416*s**3 - 98*s + 482266 wrt s?\nAnswer: 7248*s**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28444*r**5 - 16*r**4 - 16051*r + 2 wrt r?\nAnswer: -568880*r**3 - 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1197524145?\nAnswer: 3, 5, 79834943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = 5*d + 15, -2*d - 2*u - 12 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -152*v**3 - 32 + 305*v**3 - 110 - 152*v**3 + v to f*v**3 + x*v + n + u*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2 + 20611952*q - 41223896 = 0 for q.\nAnswer: 2, 10305974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + 6*c**2 - 7. What is the lowest common multiple of d(5) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 39*v**2 - 4*v + 34. Let h(w) = -116*w**2 + 11*w - 103. Let c(o) = -4*h(o) - 11*m(o). Differentiate c(r) with respect to r.\nAnswer: 70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 7883866?\nAnswer: -7883869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*-654.\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -0.03, -2\/11, -3, -4\/95?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -p**4\/24 + 59*p**3\/3 - 232*p**2 + 5211*p. Find a, given that j(a) = 0.\nAnswer: 4, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2638 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1014114340 - 4?\nAnswer: -1014114344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9.172 - 33.662. Let n = h + 43. Let s = n + -0.085. What is s rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143449 is divided by 655.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s - 4. Let v be b(-4). Suppose v*k = 3*k - 144. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 924617?\nAnswer: 924617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9469541*i**3 + 107*i**2 - 931*i wrt i.\nAnswer: 56817246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 4. Let j be y(-3). Let w(q) = -2*q + 3. Is w(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28038, -63788, -99538, -135288, -171038?\nAnswer: -206788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*y**4 + 56*y**3 + 209*y + 2?\nAnswer: -48*y**2 + 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 12:36 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 5*r**2 + 6*r + 3. Let q be u(6). Suppose -6*i + 9 = q*i. Sort 3, 5, -4, i in descending order.\nAnswer: 5, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f + f + 4*f + (1 + 2 - 6)*(48*f - 26*f - 31*f) + (-f - f - f)*(5 - 2 - 4) - 1 + 1 + 2*f + f - 7*f + 3*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1102012 (base 4) to base 12\nAnswer: 305a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -241951*i. Let k(j) = 7*j + 3. Give k(c(n)).\nAnswer: -1693657*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 225 - 227.98. Let h = -2.97999851 - q. Round h to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-490)\/6)\/((-81445)\/(-48867))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1016.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1343852049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 19*s**3 - 834*s**2 - 81*s - 114. Give a(44).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 6, 64?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38.65 - -39. Let q = -12.55 + o. What is q rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -180 + 301. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.07 + 0.37. Let x = -4\/7 + 19\/21. Which is the closest to 0?  (a) p  (b) -0.5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**5 - 72505*a**4 + 270*a - 28 wrt a?\nAnswer: -20*a**3 - 870060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 401180 divided by 80236?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/(-72)*-18*(-12)\/90.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 377191 is divided by 3043.\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*f - 4 = -w, w = 4*f - 6. Solve 0 = f*n - 3 + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 822 + -824. Which is the third smallest value?  (a) 0.05  (b) -7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((-1026)\/40014)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -15*x**3 + 11*x**2 - 2*x - 2. Let v(u) = -u - 6*u**3 - 3*u**2 - 1 + 3*u**3 + 9*u**2 - 5*u**3. Determine -6*t(b) + 11*v(b).\nAnswer: 2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 132079 divided by -4?\nAnswer: -132079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/(-1))\/(10\/(-2) - -2). Let m = -2 - -5. What is the closest to 2\/9 in -0.1, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 10 = 0, -5*a + 7*z + 50 = 3*z. Let f(j) = 13 + 0 - j - 8 - a. Let i(y) = -2*y**2 - 2*y - 2. Determine 6*f(q) - 3*i(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 - -26. Let p = 17.42 - d. Let l = p + -0.5. Round l to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -7, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - 5)\/((-2)\/10). Suppose -20 = -p*f + 10. What is the third derivative of -b**f + 2*b**2 - b**4 + b**4 - 3*b**6 wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -785, -700, -581, -422, -217, 40, 355, 734?\n\"Answer: v**3 + 11*v**2 + 45*v - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2430 divided by 5\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 4*z)*(10*z**2 - z**2 - 3*z**2).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y + 3*y - 7*y + y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n + 7. Let y be c(8). Is 18 + 7 - (-4)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -4*l + 9. Let s(v) = -12*v**2 + l*v**3 - 14*v**3 - 2*v**3 + 12. What is the smallest common multiple of 8 and s(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31499 - 16392. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64683.\nAnswer: 3, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -818612 (base 9) to base 3\nAnswer: -220122200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s - 4. Let q(v) = -2*v**2 - 17*v - 34. Let b be q(-6). Let k(c) = -5. What is b*h(p) + 3*k(p)?\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 0 + 3\/8*s**4 + 7\/2*s**3 + 0*s - 2*s**2 - 1\/60*s**5. What are the prime factors of w(9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/3 + 7\/12. What is the closest to -0.2 in 0.5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 + 10*l)*(-3 + 0 + 4) + (-2 + 2 + 3*l)*(-10 + 10 - 7).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -250004 - 4040?\nAnswer: -254044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t - 7. Suppose -3*g = 4 - 16. Suppose -g*u = 3*c + 26, 5*u + 4*c + 33 = -0*c. What is w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of 7*b**3\/3 - 3*b**2\/2 + 2*b - 1. Let c(m) = 8*m**2 - 4*m + 2. Determine -4*c(n) + 5*k(n).\nAnswer: 3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 474.3967 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 12*o**2 + 4*o - 34. Let u be x(12). Let k be (-24)\/u*56\/(-16). Let c(m) = 0*m**2 + 0*m + 6 + m**2 - 6*m. Give c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 + 0.35. Let v = 0.2 + z. Let f = 6.0869 + -1.0869. Sort v, f, 13, 0.4 in decreasing order.\nAnswer: 13, f, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.07822 nanometers in centimeters?\nAnswer: 0.000001607822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9150 divided by 210\nAnswer: 305\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 4:00 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10 - n - 10 + (5*n - 2*n - n)*(-1 + 2 - 2) + 2 - 2 + n + 0 - n + 0 + (2*n + 0 + 0)*(2 + 2 - 5) + n + n - 4*n + n - 3*n + n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111\/(-6) - (75\/((-8775)\/156))\/((-2)\/(-12))?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -131*h**3 + 19*h**2 - 20*h + 2. What is s(1)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 15*v = -689. Suppose 2*h = -5*k + 235, k + 34 = 2*k + 3*h. Suppose -k*d - 52 = -v*d. What is the remainder when d is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 22 = -2*y. Let j = y + -3. Suppose t = 5*w - 44, 57*w + t - 12 = 55*w. What is the highest common factor of j and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*o + 81. Suppose -4*j + 6*j = o. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 21.9. Which is the closest to -0.1?  (a) 0.4  (b) m  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 133370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*h**3*m**2 + h**3*m - 32*h**2 + 3*h*m**2 wrt h.\nAnswer: -78*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.092 * 1.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -14*g - 12. Let j(p) = p + 1. Let t(a) = 12*j(a) + r(a). Let w(x) = -24*x + 45*x + 65*x + 589 - 589. Calculate w(t(d)).\nAnswer: -172*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 364.37 centuries to decades.\nAnswer: 3643.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14\/13 in -94.6, -2.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(11520\/98910) - 137.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + -0.118583.\nAnswer: -0.018583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 5*f**2 - 7*f - 28. Let d(z) = -z**2 - z + 7. What is 2*d(p) + k(p)?\nAnswer: 3*p**2 - 9*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {l: 3, v: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 641781921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -537748 (base 9) to base 14\nAnswer: -84bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 0, -3*b = -b + 5*f + 26. Let l be (1 - 3)*(-9)\/6. Put b, l, -2 in decreasing order.\nAnswer: l, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 13*m**4\/12 + 7*m**3\/6 - 7*m**2\/2 + 2*m. Let c(i) = -6*i**2 - 3*i + 3. Give -7*c(d) - 3*f(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of n**4\/12 - 3*n**3\/2 - 7*n**2 + n. Let r be z(10). Let g be (-2)\/(4\/2 + -1). Put g, 3\/2, r in descending order.\nAnswer: 3\/2, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3 - 1350*r**2 - 454272*r + 913952.\nAnswer: -(r - 2)*(r + 676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 339 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -422*z + 418*z - 3*j = 0, z - j = 7. Solve -4*l + 41 = 5*y, 31*l = -z*y + 34*l + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(40\/(-18)) + (-56)\/(-420) and -127\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202.9 times 143?\nAnswer: 29014.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyk. What is prob of picking 1 k and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -79, -160, -243, -328, -415, -504?\n\"Answer: -d**2 - 78*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-25) + 1936\/60 + 20*(-9)\/(-1350)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 13*f - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/37)*y**(-3\/23)*y*(y**(6\/11)*y*y)\/y*y\/y**(-12))**(-43) assuming y is positive.\nAnswer: y**(-6215779\/9361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 11 - (9 + -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qv when two letters picked without replacement from vqvv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 6*o + 102. Let w be n(-17). Suppose 2*p = 2*m - 100, -3*p = -w*m - m + 48. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -13 - (528 - 3)\/(-15). Solve 0 = -3*m + 2*t - 8, m + z - 8 = -5*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)*4)\/sqrt(11).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 12:35 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**5 + o**4 + o**2 + o. Let u(c) = 9*c**5 - 3*c**4 + 10*c**3 + 6*c**2 - 7*c + 5. Suppose 11*z = 32*z + 21. Let a(f) = z*u(f) + 4*x(f). Factor a(n).\nAnswer: -(n - 5)*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 6. Suppose d*w + 1 = 5*x + 8, -4*w = x + 6. Let a(v) = -v. What is a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 24. Sort -2\/19, j, -3\/2 in ascending order.\nAnswer: j, -3\/2, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j - 2*j - 5*j)*(j**2 - j**2 - j**4) - 46*j**3 + 46*j**3 + 10*j**5 - 3*j**5 - 4*j**5 + 6*j**5.\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 49*z + 188. Determine t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3 + -1 + -2 + (((sqrt(325) - (sqrt(325) + -2)) + sqrt(325))*-2 - sqrt(325)) + -2*(sqrt(325) + sqrt(325) + 0 - sqrt(325)))**2.\nAnswer: 500*sqrt(13) + 8225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2209)\/(-435173) + (-18100)\/(-4728)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 0*u**2 - 2 - 2 + 0 + u**2. Let x be m(3). Find the first derivative of 4*j**2 + x + 3*j**2 - j**2 - 4 wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b + b + 51 - 24. Let a be q(-12). Solve 3*m + 10 = 2*j, -3*j - a = -0*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-2)\/(-3))\/((-24)\/18)*-3512?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1228d + 0?\nAnswer: -1228d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of n**5\/20 - 7*n**4\/12 + n**3 + 3*n**2\/2 - 2*n. Let x be g(6). Factor x*q - 2*q**4 - 3*q.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2066 + 184*i**2 + 2066 + (8*i - 3*i - 2*i)*(i - 4*i + 2*i).\nAnswer: 181*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1385969, 1385971, 1385973, 1385975, 1385977?\nAnswer: 1385979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2888 + -2744. Calculate the least common multiple of u and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -18, -8, -28\/3, -40 in descending order.\nAnswer: -1, -8, -28\/3, -18, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1399*c*t**4 - 2*c*t**3 + 3*c*t**2 + 14337*c + 4*t**4 + 282*t**3 + 317*t wrt t?\nAnswer: 33576*c*t - 12*c + 96*t + 1692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 357984, 715932, 1073880?\n\"Answer: 357948*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 + (-22)\/(-6))*69507\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2)\/(r*r*r**(-7))*(r*r**(-1\/9))\/((r*r**(-14)*r)\/r*r) assuming r is positive.\nAnswer: r**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1998802 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 3 - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -3*h. Let j(g) be the first derivative of g**3 + 5*g + 118. Give j(v(k)).\nAnswer: 27*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s + 2. Suppose w = -2*m - 9, 0*m + 3 = -m - w. Let n(c) = 505*c - 167*c - 167*c + 3 - 167*c. Calculate m*k(z) + 4*n(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 2 in increasing order.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 2257033354?\nAnswer: -2257033349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/7 + (-12)\/(-56)*104\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -6*a + 5*a. Suppose a*l - 3*s = l + 20397, -5*l - 5*s + 34005 = 0. Round l to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 19\/4 of a week?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*n - 761 = -y - 68, -3*y = 4*n + 51 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/3 + 38*c**2\/3 - 50*c\/3 - 950\/3.\nAnswer: 2*(c - 5)*(c + 5)*(c + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 297, 1412, 4219, 9498, 18029, 30592, 47967, 70934?\nAnswer: 100273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-8)\/(-105*(-30)\/75)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 2*a**2 + 4*a - 12. Calculate m(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -8. List the prime factors of (22\/v)\/(8\/(-40)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 101*b**2 + 5*b + 9. Let q(v) = 25*v**2 + v + 2. What is 2*c(f) - 9*q(f)?\nAnswer: -23*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k\/(k\/(k\/((k**0*k)\/k))))\/k)\/k)\/(k**(-1\/2)\/k))\/((k*k**(-17))\/(k**(-12)*k)) assuming k is positive.\nAnswer: k**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1165891760.\nAnswer: 2, 5, 11, 73, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from nkwnkwkxxkkkwkkkkakk.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2225 and 11303?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 391*10\nAnswer: 3910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2498.486169 to the nearest 10.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2.6 * -206475\nAnswer: -536835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1033622, 1033609, 1033596?\nAnswer: 1033583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = 29*a - 25*a. What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1075058 and 5956?\nAnswer: 2150116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181, -134, 71, 536, 1363?\nAnswer: 2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 1696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 103 + -101. Suppose 2 = -u*h, x - 5*x + 383 = 5*h. Let o = 174 - x. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.04 - -3.96. Let p = u - 4.5. Let t = 19.45 - 17.45. Which is the nearest to t?  (a) 5  (b) p  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 3*z**4\/4 + 7*z**3 + 21*z**2 + 24*z - 17. Let j(w) = 0. Calculate w.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -26. Let x(b) = -86*b + 109. Give 4*c(y) + x(y).\nAnswer: -86*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8300, 8377, 8486, 8627, 8800, 9005?\n\"Answer: 16*i**2 + 29*i + 8255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 515610.5 grams?\nAnswer: 0.5156105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*z + 5*t, 3*z - 2*t - t = -12. Suppose -k + 4 - 1 = z. Let n be 2*k\/(-15)*-10. Let g(d) = d**2 - 4*d. Calculate g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.158 and -46021.49263?\nAnswer: 46021.65063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y**2. Let b = 670 + -355. Let i(d) = 154*d - 15 + 159*d - b*d. What is z(i(f))?\nAnswer: 8*f**2 + 120*f + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/(-90)*8\/6. Let p = -144 - -147. What is the closest to z in 4, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/(-12) + 1 + 21\/12. Let j be (-3*(-2 - -1))\/1. Suppose -c*g + 43 = j*m, -m - g = -8 - 8. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 6312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 896.9196us?\nAnswer: 0.8969196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 2a?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 269*m**2 + 53*m**3 + 2*m - 4 + 4*m**3 - 269*m**2 as l + f*m + v*m**3 + y*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 - 427*z + 5268. Give i(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3023 = -27*w + 28*w + 2*x, 0 = 4*x - 12. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifth of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 218 - 92. Suppose u + u - n = 0. Suppose -58*a - 470 = -u*a. Is a a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v - 2*y - 4 = 3*v, -y = 5*v + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 369 and 6929?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -45772+0.1247\nAnswer: -45771.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80513395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of z**3\/3 + 5*z**2 - 3*z + 7696. Let l be (-2)\/((-4)\/14*1). What are the prime factors of v(l)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50970274, -4, -12 in descending order.\nAnswer: -4, -12, -50970274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -69.4 - -69. Let v be (-2 - -2)\/(-3 + 1). Which is the nearest to v?  (a) -3  (b) 2\/3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 1544041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-1)*(-45)\/((-1125)\/25)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 1\/2, 1\/21 in ascending order.\nAnswer: -1\/3, 1\/21, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k = 70 + 2. Suppose 0 = v - k + 3. Suppose 2*y = -f - v, 0*f + 5*f + y + 3 = 0. Solve -4*j - 4 + 12 = f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2161\/1085183 + -8\/2099. Is p less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 59400 - -93317. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.852 + 1.148. Let a = 272.0815209 + -295.08152. Let g = a + z. Round g to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 14*l - 6. Let x be n(14). Let k(d) = -2*d**3 - 10*d**2 + 11*d - 2. Let s be k(x). Solve -2*o = -b - 1, -b + s*b = 3*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22\/(-6) + (-2 - 15\/(-9)). Which is bigger: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2*(-9 - 518\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v. Let n(p) = p + 1. Let t(w) = 1. Let r(b) = -6*n(b) + 6*t(b). What is d(r(m))?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -252010 (base 6) to base 4.\nAnswer: -11133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7775, 7770, 7753, 7718, 7659, 7570, 7445?\nAnswer: 7278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (4 + sqrt(252) + -3)**2.\nAnswer: 12*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {g: 1, h: 4, x: 6, q: 4, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6336548 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -453 + 786. Suppose q + 4*t - 62 = 0, 2*t = -4*q + 3*t + y. Suppose 2*v + q = 250. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-2) - (-90)\/20. What is the derivative of 1 + 23*t - 7*t**4 - p - 23*t wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1313 (base 6) to base 10\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 2:25 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 2*x - 1. Let j be d(3). Let b(a) = -a + 1. Let g be b(j). Solve 0 = 2*s - s - 2, -6 = 4*n + g*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -5*w**4\/24 + w**3\/6 + w**2. Let i = -165 + 164. What is the lowest common multiple of 8 and p(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 826 and 336772?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**3 - 6*d**2 + 6*d - 6. Let l(j) = j**3 - 4*j**2 + 5. Let q be l(4). Determine b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from nxn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -1862*h + 568. What is the units digit of x(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-3) - 2\/3. Suppose k*j - r + 2 = j, 3*r + 34 = -5*j. Let w(q) = -2*q + 1 - 10 + 4*q + 1 + 3. What is w(j)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - 0.6. Let s = i - -0.7. Let w = -7107 - -7107.4. What is the closest to 0.1 in 0.5, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, l: 1, s: 3, m: 3, b: 1, i: 1}. What is prob of picking 1 b and 1 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 15230980 and 3782?\nAnswer: 15227198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 412, 7\/6, 3, 31, 3\/2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*j - 12 = 74*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 7.2. Let n = 174 + -176. Put n, -1\/5, z in decreasing order.\nAnswer: z, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5879317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -114.4?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*z + 14. Suppose 15 = -5*a - z*j, 0 = 5*j + 4 - 14. Is a at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21318 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3\/2 + 2580225*r**2\/2 - 15481188*r + 46443402.\nAnswer: -3*(r - 860063)*(r - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -549 + 5*a - a + 182 + 147 + 159. Determine j(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7101 + -7106. Which is the closest to -1?  (a) 2\/47  (b) x  (c) 0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3128.269s?\nAnswer: 3128269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -30\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxbbibbibxbb. Give prob of picking 1 b and 1 x.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -20, -52, -118, -230, -400, -640?\nAnswer: -962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 q, and 2 l when four letters picked without replacement from {f: 1, u: 1, q: 5, l: 6, d: 1}.\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + 7 + 0 + 6 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.189 + 1003.811. Let a = r - 1006.01739. What is a rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23b8 (base 15) to base 3\nAnswer: -101102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 3 = 5*m, 0*m + 3*m + 3 = 0. Let j be 1\/2*(0 - z). Let y = j + 10. What is the highest common divisor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109729*t - 109760*t + 1798 = 0 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*z - 51, z - 71 = -3*z - 3*t. What is the highest common divisor of z and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2577*z + 2574*z + 67968, 3*i + 90646 = 4*z. What is the ten thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, j: 8, c: 2, z: 2}. Give prob of sequence sjj.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, v: 4, b: 1}. Give prob of sequence vb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 2:33 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 14*u**2 - 23*u + 6. Give y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -87a + -7?\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 256254127*a**3 - 20230617*a**2 wrt a?\nAnswer: 1537524762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4*p**2 - 178*p + 92. Determine g(44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (-8)\/1) + (1 - 0). Suppose -12 = k*z - 12*z. Is 12 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1423.95838 - 1424. Round y to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 773, 953, 1133?\n\"Answer: 180*z + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 28  (b) 5  (c) -1\/4  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 47 + -46.5. Let g(q) = -5*q - 34. Let t be g(-5). What is the closest to t in -0.5, -1\/7, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of c**5\/20 - 3*c**4\/16 - c**3\/4 + 11*c**2\/8 - 3*c\/2 + 56. Factor y(l).\nAnswer: (l - 3)*(l - 1)**2*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5449558 and 4?\nAnswer: 10899116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 115. Let c = -67.9959 - z. Round c to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(-42))\/((-1)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oozoozozozzooooooo. Give prob of picking 4 o.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g**3 + 4771*g**2 + 4769*g**2 - 15*g**3 + 4772*g**2 - 14312*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 49871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**3 + 0*o**3 + 2*o**3 + (10*o**2 + 18 - 18)*(-3 + 3*o + 3) in the form j*o**3 + w*o + n*o**2 + l and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 + 14. Let s = g + -46. What is the third derivative of -8*i**3 - 16*i**2 + 0*i**3 + i**3 - 5*i**s wrt i?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302715 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 224679.\nAnswer: 5\/224679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13140*n**2 + 12003*n.\nAnswer: 26280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 + 5*j + 6. Let o be n(5). Suppose o*d - 7*d = 0. Suppose q = -d*q. Solve q = -4*s + 13 + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-302)\/1440 - 2\/(-9). Let x be (1\/8)\/((-10)\/(-2121)). Let u = q - x. Calculate the common denominator of -15\/11 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 28640 + 430 = 22700. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 4 + 6 = 4*q, 0 = -z + q - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.25+0.283\nAnswer: 0.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of -k**5\/90 + 7*k**4\/36 - 4*k**2 - 3*k. Let o(p) be the first derivative of b(p). Determine x, given that o(x) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/18 and 21\/1978.\nAnswer: 17802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32  (b) 172  (c) -0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by -7.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -176 + 271. Suppose 29*f - 1692 - 947 = 0. Let w = m - f. Solve 2*d - 7*d = 3*i - 5, -w*d - i = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) -0.5  (c) -5  (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -692, -2772, -6242, -11102, -17352, -24992?\n\"Answer: -695*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.09, -2\/7, 3\/4, 2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 719 = 9*m + 3*c, 2*m = -5*c + 379. What is the remainder when m is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3465 + -349956\/101. Sort 4, l, -5, -3 in descending order.\nAnswer: 4, l, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -283 + 160. Let x = 122.9961 + t. What is x rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18278 and 589342.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 bigger than 61279\/35326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 161 - 160.5. Suppose 103 = 6*q + 37. Which is the third smallest value?  (a) -0.4  (b) u  (c) q  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2457747 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 3*h = -6750. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-9)\/(-4)*2. Let s(l) = -l**2 - 10*l - 7. Let i be s(y). Let p be (1 - 5)*(-1)\/i. Solve -p*z - 2 + 4 = -5*n, z + 12 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 113500\/3 + -37909. Let t = -188 - -112. Which is bigger: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8632*u**3 - 4350.\nAnswer: -25896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256048 is divided by 415?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47141 + -44735. Which is smaller: b or 2404?\nAnswer: 2404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1698716 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -48 - 55 - 631*g - 53 + 156 in the form m + i*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 8*j**2 + 5*j + 17. Let u be (27 - -1)*2\/8. Let q be i(u). Solve -5*r - 4*a = -3*a - 14, 5*r = -q*a + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3448 - a?\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 671282 divided by 394\nAnswer: 335641\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 9*n**3 + 6*n**2 - 6*n. Let y(x) = 19*x**3 + 13*x**2 - 13*x. Suppose 166 = -46*o - 110. Give o*y(t) + 13*i(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 618110699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x + 14. Let k be p(-9). Solve k*r = -6 + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 divided by -27.\nAnswer: 40\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 349633 by -349633.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139523 is divided by 428.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -20. Let y = -116 - -69. Let n = -19 - y. Calculate the remainder when n is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 212 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*a + 132 - 48*a - 94*a.\nAnswer: -291*a + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + c**2 - 2*c + 1. Let g(l) = -3*l + 1. Let x(j) = -2*g(j) + 3*h(j). Let t(w) = -4*w**3 + 4*w**2 + 1. What is 5*t(r) - 6*x(r)?\nAnswer: -2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -51, -0.06, -114.8, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6269 less than -0.185539594?\nAnswer: -2.812439594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 300 + 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 7508 = -4*v, 0*v - 4*v = -w - 7508. Suppose 5518 + v = -3*z. Let i = -778 - z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*v - 189 = -101*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000068805 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16674 and 28584?\nAnswer: 200088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -7*h**2 + 52*h - 47. What is the lowest common multiple of r(4) and 11?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 66 + -35. Suppose -5*o - 2*d = -0*o - i, -3*d = 3*o - 24. Suppose -2\/3 + 10\/3*g**o + 31\/3*g**3 - 5\/3*g + 7\/3*g**2 + 31\/3*g**4 = 0. Calculate g.\nAnswer: -1, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1185 + -1184. Solve -g = 4*d - j + 4*j, -4*j = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2695*f**2 - 2695*f**2 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.018803 - -3216208?\nAnswer: 3216206.981197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1132 - 4?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 942 and 556879.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 146801 - -1586?\nAnswer: 148387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -473023, -472946, -472819, -472642, -472415?\nAnswer: -472138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 41, -0.4, -2 in decreasing order.\nAnswer: 41, 5, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 + 129 + -2 + (7 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*b**5 + 50*b**4 + 4*b**3 + 7*b - 6245?\nAnswer: 100*b**3 + 600*b**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1892*b**3*o**3 + 13*b**3*o + 4*b**2*o**3 - 14384*b**2*o**2 wrt b?\nAnswer: 11352*o**3 + 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 1 + 1 - 12*u**2 - 4 - 6*u. Let v(h) = 25*h**2 + 13*h + 5. Let t(f) = 5*c(f) + 2*v(f). Find the second derivative of t(b) wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: a8206 (base 11) to base 9\nAnswer: 258704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*o**3 + 3*o**3 + 8*o**3 + 5*o**2 wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 398 + -396. Sort -2, y, 35.\nAnswer: -2, y, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 335 and 11323.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.64 - 0.14. Let l(q) = -2*q**2 + 1. Let i(m) = m**3 - 3*m**2 - 5*m + 3. Let k be i(4). Let f be l(k). Which is the closest to f?  (a) 2  (b) 0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -147*q**3 - 92*q**3 + 175*q**2 + 69*q**2 + 15*q**2 - 178*q**3 wrt q?\nAnswer: -2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.083845 - -361000109?\nAnswer: 361000108.916155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**7\/504 - t**4\/2 - 5*t. Let o(q) be the third derivative of v(q). Let g(c) = c. What is o(g(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 241 (base 11) in base 4?\nAnswer: 10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 43 = 29. Let g(p) = 4*p**2 - 17*p**2 + o*p**2 - 2*p + 1. Let n be g(0). What is the biggest value in -4, n, 1\/28?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4*t**2 + 12*t + 6. Let r(u) = -2*u**2 + 6*u + 3. Let q(n) = -n**2 + 40*n + 822. Let c be q(55). Calculate c*o(j) + 5*r(j).\nAnswer: 2*j**2 - 6*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -6. Let s be 1 + 182\/(-198) - h. Let m = 18\/11 - s. Calculate the common denominator of -54\/13 and m.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 378719.\nAnswer: 11, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 360664 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m*m**(-1)\/m)*m))\/m*m)**45\/((m*m*m**(1\/2))\/m**7) assuming m is positive.\nAnswer: m**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 24*y**2 + 594276. Let m(s) = s**2. Determine u(m(n)).\nAnswer: 24*n**4 + 594276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t**4*v + 3820*t**4 + 8*t**2*v + 42241*t - 4*v wrt t?\nAnswer: 36*t**2*v + 45840*t**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18637170 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1094058 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l*l**(-2\/7)*l*l)*l*l)\/l)**(-1\/11)*l*l*l*(l*l**5)\/l*(l*l**10)\/l assuming l is positive.\nAnswer: l**(1398\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38.000000064 + 38. What is l rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence opop when four letters picked without replacement from {v: 1, p: 4, o: 8}.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14660.3 - -14660. What is the smallest value in -3, -0.1, 3\/5, -1\/43, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*-3*2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttxt when four letters picked without replacement from xxtxxtxxtxxxtxxtxxxx.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1264)\/(-48) + -30)*(0 - 1)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/144 and (1075\/(-7740))\/((-18)\/(-56))?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wqmq when four letters picked without replacement from wqqrmrccrwrqmrmqcrw.\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12861 is divided by 12838?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4402\/(-71) + ((-9)\/21 - (-1872)\/252)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s = -2*m - 6, 17*s = 16*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11615 and 259065.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 8*b**2 - 71*b - 20. Let n(f) = 8 + 24*f + 0*f - 1 - 3*f**2. Let g(s) = 11*n(s) + 4*p(s). What is the remainder when g(-10) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257514?\nAnswer: 2, 3, 167, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6945 is divided by 158.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3899 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: Factor 96*r**5 - 108*r**4 - 3933*r**3\/8 + 1065*r**2\/8 + 6633*r\/8 + 3267\/8.\nAnswer: 3*(r + 1)**3*(16*r - 33)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -5. Let o be (1 + -1)\/(0 + h). Solve o*d + d = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1043\/92 - -10539\/920. Calculate the common denominator of d and -21\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2212 by -2.\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5\/4 of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*h = 27, 3*l + 3*h + 148 - 7 = 0. Let q = 88 + -106. Let b be 530\/(-12) - 3\/q. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77*r**2 - 29*r**2 - 64*r**2 - 15*r**2 + 49*r**2 to the form v*r + n + i*r**2 and give i.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 138 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 96.0011 + -0.0011. Let d = i + -96.01068. What is d rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 6. What is w(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/9 - 505*o\/9 + 100958\/3.\nAnswer: -(o - 353)*(o + 858)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33163923 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -45*m + 50*m. Let h(w) = -w**3 + 2*w**2 - 3. Let n(v) = -v**3 + v**2 - 3. Give m*h(f) + 3*n(f).\nAnswer: -f**3 - f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 125\/398208 and -7\/67344?\nAnswer: 9158784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b - b + 3*b**2 + 4*b - b**2 to the form f*b**2 + a + t*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 6 + 1 = z, 0 = z - 3*p + 8. Is z <= -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -829, -1543, -2147, -2641?\nAnswer: -3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 19212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/(-9 - 6) - 186\/33.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 166206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/4)\/(h\/((h**11*h)\/h*h))*(h**(-5\/4))**(-2\/5))**38 assuming h is positive.\nAnswer: h**(855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -991, -1908, -2825, -3742, -4659?\n\"Answer: -917*y - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.2, -2, 10\/9, 0.121, 0.3?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -139 divided by 109521?\nAnswer: -139\/109521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-3\/2)*g**(-12)*g**0\/g*(g**(1\/3)\/g*g)\/g)**40 assuming g is positive.\nAnswer: g**(-1340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**5\/20 - 7*l**4\/12 + 2*l**3\/3 - 3*l**2 - 4*l. Let y be g(-7). What is the units digit of (y\/(-3))\/((-18)\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5\/4, -0.2, -3, -4, -0.5 in increasing order.\nAnswer: -4, -3, -0.5, -0.2, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 46*s - 24 = -2*q + 5*q + 24, 23*s = 26*s for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2545 and 1090?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.84, 3, -2, -3854\/15?\nAnswer: -3854\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rirereivxeeiviri. Give prob of sequence evix.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k**3 + 16*k**2 + 127*k - 556. What is q(7)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78 divided by 12.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403*o - 1062*o + 535*o - 4161*o - 4066*o.\nAnswer: -9157*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1.2  (b) 29  (c) 8  (d) -144  (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**3 + 85293*z**2 + 254112264*z + 180364975824.\nAnswer: -3*(z - 31207)*(z + 1388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1601.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -77621 minus -10531?\nAnswer: -67090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 12:30 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 20*d = 1088. Calculate the greatest common divisor of d and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 3*q - 64. Let x be u(22). Find the second derivative of 4*i - 5*i + 8*i**x + 0*i + 1 wrt i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35794?\nAnswer: 2, 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -2\/13  (b) -7  (c) 4  (d) 15  (e) -3\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q**3 + 40*q**2 - 5*q + 107. Is k(12) a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6400839 and 57607564\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 15  (c) -45  (d) -1  (e) -3  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 2)\/(-2) - -11. Let b = q - 11. Solve 7*t - 4*t - 3 = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28643?\nAnswer: 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47336111 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -3*u + 2*i + 182, 0 = -4*u - 2*i + 236. What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {i: 7, g: 5, w: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwkkkwwkqqqmwqwk. What is prob of picking 1 k and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*a**2 + 0 + 56*a**2 + 2 - 29*a**2 - 2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -191*k**5\/5 + 70*k**3 - 221. Find the third derivative of j(m) wrt m.\nAnswer: -4584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -344*k + 40*k**4 + 14*k**3 + 256 + 24*k - 80*k**2 + 49*k**3 + 4*k**5 + 37*k**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -187.24 + 184. Let o = v - -0.24. Which is the second biggest value?  (a) o  (b) -1\/7  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y. Suppose 3*j - 3 = -18, -4*b + 145 = 3*j. Suppose -r - b = -5*r. Let t(v) = r + v**2 - 10. Calculate t(o(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*k**3 + 11*k**3 + 3 - k**2 - 3 to the form y*k + i + v*k**2 + z*k**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*v + 87 = -124 - 59 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163 = 15*i + 223 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 22 + -22 + 6 + 70 - (5 + -4)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*y + 29*y + 20*y + 16*y + 85*y.\nAnswer: 127*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 6. Let j = -35 + 33. Which is bigger: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - 5. Let m = -4 - x. Solve -2*r + 4*r = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of 1\/120*f**6 + 0*f + 0*f**3 + 0 + 1\/12*f**4 - 16*f**2 - 1\/10*f**5. Give r(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*b + 10*y - 116, y = -4*b + 36 + 35 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 0 + sqrt(567))**2 - (0 + sqrt(567) + -5))*2.\nAnswer: 90*sqrt(7) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + 1*sqrt(192) - (sqrt(15)*-3)\/sqrt(5)) + 2.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, q: 2, o: 4, n: 2}. What is prob of sequence pp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 230?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 918896 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 14644 times 0.1\nAnswer: 1464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2405 = 110*k + 908 - 2023 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1551, 1555, 1563, 1575?\n\"Answer: 2*b**2 - 2*b + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - 2*a + a)*(-6731 + 21966 - 3105 + 19264 + 17271 - 8072).\nAnswer: -81186*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 7*f - 1. Let t(p) be the first derivative of p**4\/2 + 2*p**3\/3 + 2*p - 3. Let l be t(-2). Is z(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 182\/21)\/(((-20)\/(-35))\/((-84)\/(-3038)))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 2 = 3*t + h, 10 = 4*t - 3*h. Suppose -t*d - 3 = -y, 4*d = -5*y + 8*d - 33. Let c(l) = l + 4. Calculate c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -281915, -281834, -281753?\n\"Answer: 81*k - 281996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 4*w. Let h(o) = -24*o + 34. Let d(x) = -4*x + 6. Let n(p) = 34*d(p) - 6*h(p). Determine a(n(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8978\/3*(-15)\/20. Let h = -2288 - w. Find the common denominator of -76\/9 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.95605 micrometers in millimeters?\nAnswer: 0.00495605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 127 + -84. Let l = z + -45. Let d = l + 5. Solve -a = -0*a - d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 16*y - 26 = b, -4*b + 3*y - 552 + 529 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62433*l - 14 + 47 - 22 - 11.\nAnswer: -62433*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (3 + (3 - -3 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v + 19 = -21*v + 3*q, 3*q - 22 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5311f7 - -22?\nAnswer: 531219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -134973, -269962, -404951, -539940?\n\"Answer: -134989*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9623 - 0.9123. Which is the nearest to 0.1?  (a) 0.3  (b) 3\/4  (c) p  (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27 - (-2100)\/(-60)) + (-12 - 0\/(-2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 107379 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 13  (b) -0.04  (c) -6\/85  (d) -679  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1072125611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 7 = 2*u, -3*i - 15 = 2*u - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 794 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123.818um to meters.\nAnswer: 0.000123818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 4*g + 4*l, -61*l + 57*l - 18 = 3*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 6*j + 4. Suppose 3*l + 5*z = -16 - 24, 0 = -l + 3*z + 10. Let s be q(l). Factor 2*v**4 - 9*v**2 - 5*v**4 + s*v**3 - 3*v + 6*v.\nAnswer: -3*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15922717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 6566?\nAnswer: -6568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475065.\nAnswer: 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9223400 rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101 (base 2) in base 6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -4d?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 13, k: 3}. What is prob of picking 2 p and 2 k?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*d - 173*d. Let u(v) be the first derivative of 4\/3*v**3 - 11 + d*v - v**2 - 1\/2*v**4. Let u(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/298*(-2)\/5. Let w = c + 602\/447. What is the nearest to 0.1 in -3\/5, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -103*i**3 - i**2 + 2. Let b(j) = 207*j**3 + 2*j**2 - j - 3. Let d(w) = -4*b(w) - 9*n(w). Is d(1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-611)\/1404)\/(577\/(-10386))?\nAnswer: 47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5673, 5667, 5659, 5649?\nAnswer: 5637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**2 - 2*n**2 + 3*n**2 + 2 - 6*n**2.\nAnswer: -10*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9308625 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0289 + 0.1821. Let v = y - 0.079. Round v to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 4:51 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 68236077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2691b1 - -6?\nAnswer: 2691b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 27 + 39 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.629 + -3.4. Let t = 1.101 + o. Round t to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 47 - (44 + -19)\/(-25)*-7.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-1 - (2 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 8*n + 5. Let x be i(9). Let c be (0 - -9) + x\/7. Let d = c - -2. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11513.1 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(57)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*m*q**2 - m + 133*q**2 wrt m?\nAnswer: -5*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -352266?\nAnswer: 1\/176133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 - 2*d**2 - 2*d + 2. Let m be j(3). What is the second derivative of -13*n**3 + 13*n**3 + 18*n**3 - m*n + 4 + 12*n**3 wrt n?\nAnswer: 180*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*s + 3*s - 68696. Is s a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110 = 40*g - 18*g. Let j(b) = -b - 11. What is j(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c - c + c + 5 + c - 5 + (-2*c + 4*c - c)*(-2 + 2 + 2) + (-4*c + 0*c + 3*c)*(-1 + 8 + 5) to the form y + z*c and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3 + 285*s**2 - 585*s + 295.\nAnswer: 5*(s - 1)**2*(s + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j + j**2 + 3*j)*(5*j**3 - 1 + 1) + 3*j**5 + 4*j**5 - 3*j**5.\nAnswer: 9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1762 - -5740?\nAnswer: 6ea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-5) - 1268\/(-5). Is 14 a factor of (-4)\/18 - r\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 - -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7727036*-0.4.\nAnswer: 3090814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12083189 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1192175972.\nAnswer: 2, 13, 103, 222587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 565 is divided by 194.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4*i = -2340 - 2058, 5*u = -3*i + 10969. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 50849*p**4 + 2*p - 3*p - 22 + 439*p**3 - 50846*p**4 wrt p.\nAnswer: 36*p**2 + 2634*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1153*n**2 + 1677*n**2 - 543*n**2 + 43 + 2*n to j*n**2 + s*n + d and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddmddddd. What is prob of sequence dm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f - 2. Let s be -1 - 0 - 6*-2. Let k(n) = n**3 + 6*n**2 + 2*n + 5. Let g be k(-6). Let u = s + g. Calculate i(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = x + 2*k + 45, k = -x + 2. Suppose -44 = -2*y - 3*j + x*j, -3*y = 5*j - 88. Calculate the highest common divisor of y and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 12*z - 19. Let l be k(-2). Let w = -3 - 2. Let y be (1 - (-6)\/w)*1. Which is the nearest to l?  (a) y  (b) 1\/3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4207 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**4 + k**4 + 0*k**4)*(-3 + 8 - 1 + (-2 + 0 + 3)*(-4 + 0 + 3)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -188 * -0.5.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*q + 86*q + 12*x + 47 = 0, -3*q + 2*x + 23 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nrrnnnrnnrnnnnwwnnr. Give prob of sequence nr.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 7*s**4\/12 - s**3\/6 - s**2\/2 - 4*s. Let t be l(-1). Suppose -t = -j - 0*j. Solve 4*p = 9 + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100001001110011101 - 1001?\nAnswer: -1100001001110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -541 - -546. Solve 0 = -4*f + v*f - 5*y - 2, 4*f = 2*y - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, k: 13}. Give prob of picking 2 k.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69 and 552.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -168041, -235\/6?\nAnswer: -235\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15*(-5)\/(-45)*6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 100 - (1 + 2 - 4). Let n = p - 77. Suppose 2*i - 16 = -y + i, 0 = y - i - 20. What is the lowest common multiple of y and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 44 = -61. Let q be (-1 - 1)\/((-14)\/t). Let f = 15 - 9. Solve -5*h = -q*m + 45, -m - 3*h - 35 = -f*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**3 + 9*z**2 - 175*z + 930. What is k(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 185391733 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmzu when four letters picked without replacement from hamuyaayzhhhma?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4433050 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-10 + -68)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2493 and -2500 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -o + 66. Let u(f) = -4*f. Let z(i) = 5*i + 5*i + 5*i. Let k(l) = o*u(l) + 6*z(l). Let n(a) = -3*a**2. What is n(k(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o + 11. Let z(i) = -3*i + 17. Let y(s) = 8*l(s) - 5*z(s). Let g be y(1). Solve -g*d - 3*d + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8034193189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -81 + (203 + -117 - 126)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 336013.8501547 plus -38?\nAnswer: 335975.8501547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 5*h**2. Let y be i(5). Suppose 57 = -y*u + 3*u. What is the highest common divisor of u and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -64, 2, -0.4, -9\/5 in increasing order.\nAnswer: -64, -9\/5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 3*n**2 + 4*n + 10. Let m be h(5). Let u be (32\/3)\/(32\/48). What is the greatest common factor of m and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14615 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 10. Suppose -2*l + k + 43 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jooooojjoooojoooooj. Give prob of sequence jjjo.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -0.7?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 800 = -2*o - 160, o - 315 = -3*n. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 9, t: 2}. Give prob of picking 1 t and 3 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3233 and 121939.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13 + -1 + 8 + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-477)\/1)\/(2*(-18)\/24). Suppose 140*i + l = 143*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2. Let x(h) be the first derivative of 14*h**3\/3 + 12. Give x(p(l)).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.17 in 3, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -627*s**3 - 36*s**2 + 30*s - 36. Let y be r(-26). Round y to the nearest one hundred thousand.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -4 + 9 + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**4 - 80*y**3 - 2106*y**2 - 22984*y - 90077 = 0. What is y?\nAnswer: -41, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 - 21 - (27 - 24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8027202 and -3?\nAnswer: 8027199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53424 divided by -2544.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 111296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*b - 2. Suppose 6 = 10*j - 8*j. Suppose 0*q = -j*q + 15. Solve 4*z = -q*u, 2*u - b*z + 9 = -9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.94 - -0.06. Let n = -2 + i. Let t = 1 - n. Which is the biggest value?  (a) -3  (b) 0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18926 is divided by 1055.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.845 + 417.155. Let r = -422 + k. Which is the fourth biggest value?  (a) r  (b) -2\/9  (c) 6\/11  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3250789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2882\/44 - 3\/2. What is the greatest common divisor of 48 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.07  (b) 2\/9  (c) 1\/3  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0857 - -0.6327. What is m rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + 3*n - 17. Suppose -430 = -5*d - 430. What is m(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) -5.9  (c) -5.3  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 753400029 to the nearest integer?\nAnswer: 27448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.10916803456 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178139?\nAnswer: 13, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -659 <= -660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -332 + 364. Solve 3*i - 6*b = -2*b, -5*i - 4*b = -q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -15110924 and -15110915 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 i, and 1 s when four letters picked without replacement from iiisbaiaisiqsi?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w - 3. Let k = -12 - -17. Let n be a(k). Suppose -4*u - v - 4 = 4*v, n*u - v + 2 = 0. Is -2\/21 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6910, 5, 1048 in ascending order.\nAnswer: -6910, 0, 5, 1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 16, 10, 4, -2?\n\"Answer: -6*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gddb when four letters picked without replacement from {d: 1, g: 6, b: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -211.317 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 172316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 102e587c + 3?\nAnswer: 102e587f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - (-9)\/3*2. Suppose -x*s + 46 = -24. Suppose -z + s = z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 243 + -255962?\nAnswer: -255719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 25811 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1679029, 1679032, 1679035, 1679038, 1679041, 1679044?\nAnswer: 1679047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14351 and 2?\nAnswer: 28702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 + 32*v + 36.\nAnswer: -4*(v - 9)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-14))\/(30\/210). Suppose 4*k + 3*l + 8 - 24 = 0, 5*l - x = -k. Solve -k*w = -8*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - 5*n**2 + 7*n**2 + 6*n + 5. Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -24. Let o = d - 63. Let v = o - -64. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 99\/248 - 18023\/54312. What is the common denominator of u and 29\/16?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + (-66 - -46) - (-36 + (-3 + 1 - -3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41\/(861\/(-483))*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 399.0583 centuries in months?\nAnswer: 478869.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - h - 2. Let c(s) = -s. Let d be c(2). Let i = 2 + d. Suppose -3*y + 2 = -2*y + 2*m, i = 5*m - 5. Calculate z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -21. Suppose -45 = -k + 4*o, -k = -4*k - o + 109. What is the remainder when k is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -485448, -485447, -485446, -485445?\nAnswer: -485444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxax when four letters picked without replacement from {x: 3, a: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + 6*((sqrt(22)\/(sqrt(11)*-1) - sqrt(2)) + sqrt(22)\/sqrt(176))**2 + 2 + ((1 + sqrt(2))**2*-1 - (-3 + -1*sqrt(2))).\nAnswer: -sqrt(2) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11451071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2728079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 4, -6*m + 4*m = 2*v + 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccccctctc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/60 + 12*t**2. Let b(o) = o - 1. Let g(p) = -30*p + 27. Let i(a) = -54*b(a) - 2*g(a). Determine l(i(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-1) + (-1 - 14). Let r = l + 49. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -4, 26, 12 in descending order.\nAnswer: 26, 18, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 49414 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: Which is the smallest value?  (a) -0.01  (b) -0.3  (c) 0.1  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 PM and 10:15 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -5*a**2 - 2*a + 1. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**0*h)\/h)**(-6\/37))**(1\/37)\/((h**(-7)\/h)\/h**3)**(-5) assuming h is positive.\nAnswer: h**(-75301\/1369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1.8  (b) -5  (c) 414  (d) -0.3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 2*i**2 + 5*i - 9. Let z be l(2). Suppose -3*v = -z - 2. Differentiate -3 + v + 13 + 22*u + 2 wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 312475 and 5803415.\nAnswer: 841495175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.3  (c) 1  (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 + -27.06. Let z be 5\/42 + (-2)\/(-12) - 136\/(-112). Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2\/4963  (b) 3.061  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -2435478\nAnswer: 14612868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -2251.25  (c) 9.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 11*g**3 - 13*g**2 - 19*g + 37. Calculate k(3).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 30*h**2 - 887*h - 186. Calculate n(30).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 16*b - 12 = 0. Is b + ((-996)\/(-7) - 16\/56) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2 - 487*t + 53890 = 0.\nAnswer: 170, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2. Let u(w) = 403*w - 234. Let n(b) = -26*b + 15. Let p(h) = 78*n(h) + 5*u(h). What is x(p(l))?\nAnswer: 169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*z**3 - 4*z**3 + 2*z**3 - 3*z**3 + 0*z**3 + z**3 + (2*z**2 - 2 + 2)*(-3*z - z + 6*z) - 50*z**3 + 46*z**3 + 21*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and -4.34.\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43 + 37.6. Let l = w - -0.4. Which is the nearest to 1?  (a) l  (b) 1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -19, -80, -197, -388, -671?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/3 + 76*j**2 - 3018*j - 9280\/3.\nAnswer: 2*(j - 32)*(j + 1)*(j + 145)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/(-36)*(-2 + 4). Sort -8, 2.6, k in ascending order.\nAnswer: -8, k, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -564*j - 51165 = 1506*j + 23355 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-243 - 517 - 127 + 15 - 96 - 15)*(67*p + 10*p + 86*p).\nAnswer: -160229*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 12:15 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8814, 15421, 22026, 28629, 35230, 41829?\nAnswer: 48426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -932, -931, -930?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -82*b - 837. What is h(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -2\/9, -14.76 in ascending order.\nAnswer: -14.76, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 1, -2\/93, -1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 204893 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**3 + 0*a**3 + a**3 + (0 - 1 + 2)*(-3*a**3 + 0*a**3 - 6*a**2 + 4*a**2) to d*a**3 + n*a**2 + t*a + r and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1896a87 (base 12) to base 3\nAnswer: 100201221000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -27*k**5\/10 - 2*k**3 - k**2 - 4*k + 7. Find the second derivative of y(m) wrt m.\nAnswer: -324*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (435\/(-232))\/(85\/272).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*x**3 - 40 - 6*x + 2*x**2 - 42 + 80.\nAnswer: 2*(x - 1)*(x + 1)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/3 - (-2)\/6. Let o(i) = 3*i + 2. Calculate the remainder when 2\/6*z*-48 is divided by o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00987 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 750188176 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 7 - 3 + (1 + 3 - 3)*(3 - 4 - 1) - 4 + 3 + 0 - 574 + 339 + 360)*(0 - 4 + 5)*(5*g + 0*g - 6*g)*(-g + g - g).\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -3581*z + 3511*z + 2 - 3 as f + j*z and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 66 = -3*x, 4*x - 22 = -2*n + 5*x. Let i(v) = 3*v + 25. Is i(n) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -69, 1, 6 in decreasing order.\nAnswer: 6, 1, 0, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -15. Let u = n - 4.2. Let h = -0.09 + 0.49. What is the third biggest value in -4, h, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5578\/3 + -1858. What is the closest to 306 in -3, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(11) - (-3*sqrt(88))\/sqrt(8) - -2*sqrt(891)))**2.\nAnswer: 21296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1475762*h**2 - 2208492*h.\nAnswer: -2951524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53.69863l?\nAnswer: 53698.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 8)*(2 - 1 - 2)*(2*c - 3*c + 3*c) as j*c + v and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11365 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*s - 652*s + 26612 + 19278 = 200*s for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1232 + -1331?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-3*(-2 + sqrt(19)*-1 + sqrt(19)) + -3 + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 424 = -4*a - 0*a, 3*c + 4*a = 346. Let m = c + -227. Let h = 308 + m. Is h 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 43266 and 148827829.\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.66 - 3.4. Let v = 0.16 - b. Let t be (-2 - -3)*(3008\/(-176) - -17). What is the biggest value in t, 0.06, v?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -12131\/5 and -2425 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/302336 and -43\/5184?\nAnswer: 24489216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/6*(-300)\/(-45).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 8018 + 4*i - 3*i - 8045 + 0*i. Calculate s(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 82 and 189160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11906?\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95387*k + 77460 = -94096*k for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 4*s = -3*n - 265, 0 = -s + n + 55. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2\/13, 8\/7, 5\/6, 8\/121, -5 in increasing order.\nAnswer: -5, 8\/121, 2\/13, 5\/6, 1, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -10, -17\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5388 in 7\/2, -1\/6, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (2 - (0 - 6)) - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -38519.34489 and 334.\nAnswer: -38185.34489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6656 is divided by 158.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/48 and -27\/668.\nAnswer: 8016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*t = 13527459 - 13520778 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4768, -19082, -42944, -76354, -119312, -171818, -233872?\n\"Answer: -4774*m**2 + 8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 - 9874*i**2 - 59275*i - 49400.\nAnswer: (i - 9880)*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 5*p - 5. Let j(d) = 14*d - 1. Let a(m) = 55*m - 4. Let k(y) = a(y) - 4*j(y). Determine -h(u) - 4*k(u).\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121 is divided by 67?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5258850 (base 9) to base 5\nAnswer: -1210032013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1093*v**4 - 3*v**3 + 88*v**2 + 9*v + 12711?\nAnswer: 13116*v**2 - 18*v + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10320 (base 5) in base 12?\nAnswer: -4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -5. Let n = s + 2.75. Let w = -0.05 + n. Is w at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380 is divided by 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 246 and 8?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*o - 55, 0*h - o - 17 = 2*h. Let z(x) = x**3 + 5*x**2 - 7*x - 6. Calculate z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -228 + 268. Suppose j*s + 970 = 45*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 + -27. What is the third smallest value in -3\/8, 18\/11, g?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 942.98 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14643 is divided by 1614.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*(-4 + 6) + -4. Let i = l - 24. Let a = 22 + i. Solve 4*w - 2*h + a = 0, w + 3*h = -4 + 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -7. Let a be 1 - -1 - 465\/o. Suppose 3*r - a = -4*p - 2*r, -83 = -4*p - r. Solve 5*i + 16 + 9 = -5*v, -4*v - p = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 20*y**2. Let v(j) = -28543*j. Determine v(s(a)).\nAnswer: -570860*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -1b?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + r - 33 = 43, -4 = -4*r. Suppose -27 = -d*c + 18. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 4*z - 4. Let h be v(-3). Let c(d) = 4*d + 2. What is the least common multiple of c(1) and 0 + h\/1*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6724*p - 6705*p + 665 = 0 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/624*-26)\/(2\/14). Let u be 5 + -1*1\/(-1). Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 185\/132 - 3\/44. Let v(i) = 161*i - 1768. Let a be v(11). Factor -4\/3 + 2\/3*y**a - 2\/3*y + z*y**2.\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + j + 5. Let f be a(-3). Suppose f*b - 8*b = 12. Solve -b*u + 12 = 3*s, -5*s + 0*s + 3 = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6ebf57 + -39?\nAnswer: 6ebf1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlxx when four letters picked without replacement from {x: 9, l: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 5)*(0*v**2 - 2*v**2 + v**2) + (8*v - 1 + 1)*(7 + 6*v - 7) + 2*v**2 + 4*v**2 - 2*v**2 to the form n*v + y + c*v**2 and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 938039.\nAnswer: 41, 137, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 393*t. Let h(x) be the third derivative of 2*x**2 - 12 + 0*x**3 + 1\/24*x**4 + 0*x. Give q(h(w)).\nAnswer: 393*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-8 - (7 - 15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 11*o**2 - 42*o - 5. Determine z(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 1128*z + 3370. Give x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**2\/7 - 289654*s\/7 + 579300\/7 = 0.\nAnswer: 2, 144825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-8 - (-52)\/12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15556 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -0.4, 59 in descending order.\nAnswer: 59, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 333084 and 1599.\nAnswer: 4330092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 divided by 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22382473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -34*x + 224. Is 32 a factor of v(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 10:03 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = w + 284. Let j = -157 - w. What is the greatest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -298 + 288. Suppose -h - 2 = 8. Do n and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -506*f**2 + 211*f**2 + 290*f**2 + 205 - 200*f = 0. Calculate f.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwc when three letters picked without replacement from wnmcnhcmcmcw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mccmccmc. What is prob of sequence ccmc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7911, 15817, 23723?\nAnswer: 31629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**3\/7 + 1236*f**2\/7 - 33087*f + 230374\/7 = 0. Calculate f.\nAnswer: 1, 229, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2277460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*(l*l**(-3)*l*l)\/l*l)\/(l*(((l**(2\/7)*l)\/l)\/l)\/l*l*l*l) assuming l is positive.\nAnswer: l**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 33.1  (b) 3\/8  (c) -1\/5  (d) 0  (e) 13  (f) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(24)\/sqrt(2) + sqrt(12)*1*-4)\/(sqrt(66)\/(sqrt(1100) + sqrt(1100)*1 - sqrt(11))) + -3)**2.\nAnswer: 228*sqrt(2) + 2897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 723681845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 238 * 675563.\nAnswer: 160783994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3247 and -16.\nAnswer: -5.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.05115 - -0.0489. What is w rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*t - 666 = -3*f + 24*t, 3*t = 0. Solve -2*n = 212 - f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-858)\/240 - (-30)\/(-80).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -641 + 63 = 60*c - 26*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/3 and 7\/42785?\nAnswer: 128355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -35*a + 150. Give y(7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 + 32.2. Which is the second biggest value?  (a) -5\/4  (b) -13  (c) w  (d) 0.15  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 - -691426a?\nAnswer: 6914283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -6*r + 18. Let k be u(6). Let g(d) = 16*d**3 + d**2. Let q be g(-1). Let b = k - q. Let z(w) = w**3 + 5*w**2 + 2*w - 4. Give z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 84\/20032883?  (a) -0.3  (b) 2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 39047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3313820407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Solve 54933 - 54970 = -3*u - 4*f, -5*f = -u - 13 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*p - 4*p + 0*p.\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(3 - (-1 + 1)). Let q be 22\/2 + -1 + 2. Calculate the highest common divisor of q and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d - d - 7*d. Let x(s) = -s. What is x(z(i))?\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate x**3 + 371*x**2 + 3*x + 15194.\nAnswer: 3*x**2 + 742*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -2  (c) 0.05  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a258601 - -12?\nAnswer: -a2585ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 + 10*f**2 + 3*f - 4. Calculate j(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 220, 310, 400?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + w - 1. Suppose 25*u - 32*u = 14. Let l(p) = -2*p**3 + 2*p**2 + 8*p + 2. Let s(x) = u*h(x) + l(x). Find n such that s(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 - 1 - (8 + -3 - -11 - 26)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 12*z)*(2 + 0 - 3).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a**3 - 9*a**2 + 2*a + 44. Give b(4).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8, 11, -0.3 in ascending order.\nAnswer: -0.8, -0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1859*0.174\nAnswer: -323.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 11:48 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -419.7 + 420. Suppose 2*w + 25 = -5*n, 2*w = -2*n + n - 13. Let z = w + 9. Is z less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.339 less than -23.16?\nAnswer: -103.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 1, 2, 3462, 20 in ascending order.\nAnswer: -22, 1, 2, 20, 3462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/988*-91*8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20 + 20 - 12*m**3 - 4*m**5 - 12*m**4 - 4*m**2.\nAnswer: -4*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -102, -114, -140, -186, -258, -362?\n\"Answer: -h**3 - h**2 - 2*h - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 8817825339 and 2.\nAnswer: 8817825341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 549024, 548988, 548952?\nAnswer: 548916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 0 + ((-12)\/(-20))\/(-1)*-2\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190123487285 take away 2?\nAnswer: 190123487283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 17 = 3*z, -5*h - 22*z - 23 = -25*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -95727059*m**4 - 120676*m**2 + 268 wrt m?\nAnswer: -2297449416*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 81240174 to the nearest integer?\nAnswer: 9013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5708207.\nAnswer: 43, 132749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132736 is divided by 66356?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 1405 + 1025 = 0. Suppose 0 = -12*y + 2*y + 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: Let f be (13\/(-2) + -1)*-2. Suppose 5*l = i - 19, l - f = 6*l. Let y be 3 - i - 3\/1. Let w(m) = m - 4. Give w(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.074099 kilograms in grams?\nAnswer: 5074.099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -62 + 38 + 19*q - 2*q**2 - 9. Let a be w(5). What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31052 + 528*w**2 + 379*w**2 + 229*w**2 - 102*w**2 + 31031.\nAnswer: 1034*w**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/(sqrt(30)\/sqrt(6)))\/sqrt(10)*4 - (sqrt(500) + sqrt(495)\/sqrt(11)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 9:19 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -20*f + 1. Let s be l(-3). Suppose 2*a = -3*i + 100, a - s = 8*i - 4*i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 664*d**3 + 5*d**2 + d - 1. Let a be b(1). Which is smaller: 666 or a?\nAnswer: 666","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51 and 1953?\nAnswer: 33201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 28*v - 29*v. Suppose -v - 63 = -a. Let q = 230 - a. List the prime factors of q.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - ((-5 - 0) + -2)) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v - 3. Let h = -127 + 109. Let l be f(h). Solve -6*q = 4*j - q, -j - 5*q = l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95933*0.5.\nAnswer: -47966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3344 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 8*z**2. Let q(x) = -x**2. Suppose 5 = 6*y - 1. Give y*k(s) + 5*q(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 219.15 + -219.2. What is the biggest value in b, 0, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1069001 is divided by 467.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -75105.485 to the nearest 1000.\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/42)\/(12\/(-9) + 1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 66924294*i**2*n**2 + 65468508*i**2 wrt n?\nAnswer: 133848588*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -n - 2*c + 12, 0 = -4*n + 3*c + 32. Let h(i) = -i + 0*i + 6 + 4*i**2 - 2*i - 3*i**2. List the prime factors of h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273073285981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 14 = -y + 10, 0 = 4*y + 16. Suppose -3*w - 87 = -3*d, 5*w - 13 = d - 54. What is the least common multiple of d and x?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 499*k*m**3 - 344*k*x + 152*m**3*x - 96*m**3 - 7*m**2*x - 2*m wrt k?\nAnswer: 499*m**3 - 344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 85 or 2656151?\nAnswer: 2656151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3\/4 - 177017*o**2\/4 - 1959964522*o - 135026939661 = 0. Calculate o.\nAnswer: -88474, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-30)*(134 + -72)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 2)*(4 + 4 - 6)*(-5*n**2 - 81 - 3*n + 49 + 37) as s + t*n + j*n**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4620 (base 11) in base 2?\nAnswer: -1011110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x**3 + 189*x**2 + 45*x + 157. What is z(-47)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.2 greater than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 - 1. Let f(t) = -t**2 + 7*t - 6. Calculate the lowest common multiple of f(5) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-5)*u)\/u)**(6\/29)*u**(-1\/7)\/u**(-7) assuming u is positive.\nAnswer: u**(1224\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(140) - sqrt(140)*1) + sqrt(140) + sqrt(140))\/sqrt(10))\/(sqrt(2) - (sqrt(8)*2 - sqrt(2)))*5.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 65*s**2 - 101*s + 101*s - 77 - 76*s**2 to the form u + h*s**2 + w*s and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15851595 to the nearest integer?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*i**2 - 2 + 2)*(-i + 3*i + 2*i) + i**3 - 4*i**2 + 4*i**2 in the form g*i**2 + o + l*i**3 + w*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20, 31, 40, 47, 52?\n\"Answer: -d**2 + 14*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 176969*b**5 - 51778*b**2?\nAnswer: 10618140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18358?\nAnswer: 2, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 809 - 573 + 3261*c - 3261*c + 4*c**2 as m*c + l*c**2 + p and give p.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4124 (base 5) to base 6\nAnswer: -2255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 6 = 38. Suppose 4*c + 3*v - 1 = f, -v = 5*c - 15. What is the second derivative of -u + 8*u + 9*u**2 + 13*u + 4*u**c wrt u?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.0707  (b) -5  (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -289\/6 + 48. Which is the nearest to u?  (a) 5  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 150135974?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of 131\/6*b**3 + 0 - 4*b**2 - 46*b + 0*b**4 + b**6 + 0*b**5. Differentiate r(w) with respect to w.\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dux.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f + 61. Let k be l(10). What is the highest common divisor of 68 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3 - f + 17 + 14 as b + q*f and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 8\/13, -5, -1 in descending order.\nAnswer: 8\/13, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 - 78*j**2 + 157*j - 215. Give v(76).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((20\/(-6))\/(12\/18))\/1. Which is the second biggest value?  (a) -2  (b) -0.3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 52456.47kg?\nAnswer: 52456470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -6  (b) 0.04  (c) 8  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/5 + 5038*y**2\/5 - 114816*y\/5.\nAnswer: -2*y*(y - 2496)*(y - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 10.982. Let z = -0.018 - f. Is 2\/7 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 422.5825us in nanoseconds?\nAnswer: 422582.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - k + 3)*(1 + 5 - 1) + 0 - k - 4 + 3.\nAnswer: -6*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/51 and -11\/119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2608363 is divided by 337?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3256137 (base 10) to base 4\nAnswer: -30122331021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 8*c**2 + 8. Let t(j) = 3*j**2 + 3. Let d(z) = z**2 - 8*z - 6. Let o be d(9). What is o*l(f) - 8*t(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3946 + -790. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 884.8648ml?\nAnswer: 0.8848648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32022213 - 3111?\nAnswer: -32031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -539 - -1045\/2. Calculate the common denominator of 17\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/1)\/2*47\/329\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9.4 + -0.8. Let m = 4.6 - c. Let u = 0.5 - 0.1. What is the nearest to -2 in u, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106.414 + -129.5. What is t rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -199, -781, -1751, -3109, -4855, -6989?\nAnswer: -9511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -5) + (14 - (-13 - -20 - -21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -292365.428 to the nearest one thousand.\nAnswer: -292000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 2*x - 19 = 0, 397*y - 389*y - x = 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 113358928681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.06 - -0.76. Let o = -14069\/6 - -2345. Which is the nearest to -1?  (a) 0  (b) o  (c) u  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**(-6)*d*d*(d\/(d\/d**(1\/2)))\/d)\/(d**(-4)\/d**(-2\/15)) assuming d is positive.\nAnswer: d**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 13*y. Let z(j) = j**2 - 5*j. Let c(i) = -i. Let o(x) = x**3 + 6*x**2 + 3*x + 8. Let h be o(-6). Let w(a) = h*c(a) + 2*z(a). Determine t(w(s)).\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (2 - (-40)\/(-15)). Let i be (-1)\/(-3) - 19\/3. Let k be 4\/8*(-4)\/i. Which is the closest to 2?  (a) x  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(6\/7)*d*d\/((d*d\/(d\/d**(-4\/5)*d))\/d*d)*d*d)**(-6\/5))**(-29) assuming d is positive.\nAnswer: d**(30102\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*k**2 - 96*k**4 - 6*k**3 - 131*k + 39*k**4 + 55*k**4 + 4*k**3 - 2 to the form h*k**3 + z + u*k**2 + a*k + o*k**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15.9 + -12. Let p = -1.9 + s. Let w = 0.08 + -1.08. What is the closest to w in p, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 2*y**3\/3 - 19*y**2 - 184*y + 309. Solve n(c) = 0 for c.\nAnswer: -4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -67.747115 to 1 decimal place.\nAnswer: -67.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 467*w - 2 = 1316*w - 2. Suppose q - 1 = 2. Put -3, q, w, 9 in descending order.\nAnswer: 9, q, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 1)*(2*d - 3 + 3)*(3 - 3 - 3 - 4 + 1 + 5 + (5 - 2 - 1)*(-2 - 2 + 6) + 0 + 2 - 3) as h + r*d and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 171775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 187 - 175. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 4*a**2 - 1 - 6*a**2 + (3 - 3 + 2)*(20*a**2 + 10*a - 10*a).\nAnswer: 38*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {a: 2, e: 1, s: 3, x: 2, z: 4, i: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -472*d**3 - 723*d**2 + 8. Let y(g) = -157*g**3 - 240*g**2 + 3. Let k(z) = 3*t(z) - 8*y(z). What is the third derivative of k(o) wrt o?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(11))*2 + (sqrt(11)*2)**2*1 - (sqrt(1584) + (sqrt(1584) + -1*sqrt(1584))**2 + 5)*-3.\nAnswer: 57 + 38*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b. Let c(d) = -18*d**2 + 3167*d - 1. What is c(y(u))?\nAnswer: -18*u**2 - 3167*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3306 - -3291.03. Let f = g - -14.971247. What is f rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 3, -4, -15505?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p - 23. Let b(l) = -4*l + 45. Determine -6*b(z) - 13*i(z).\nAnswer: -2*z + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6139511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 432421 + 154141?\nAnswer: 1031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 10 = -34. Solve -3*w + n*w = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -9*p**5\/4 + p**4\/2 + 4*p**3\/3 + 6*p**2 - 17*p. Let y be a(-6). Round y to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2024 - 1260. Let q = -764.0000431 + i. Round q to 6 decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*z**3 + z**2 + 3*z**4 + 0*z**2 - 36*z**3 - 4*z**4 - 1 to o*z**2 + b*z**3 + g + l*z**4 + s*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-6\/13)\/w**(-9)*(w*w**(-8)*w*w)\/(w**(9\/5)\/w) assuming w is positive.\nAnswer: w**(178\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -79 + (7 - -11) + 2 + 7 + 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 475 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -806, -811, -812, -809, -802, -791, -776?\n\"Answer: 2*x**2 - 11*x - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -208*u - 8. Let d(j) = 624*j + 26. Calculate 4*d(p) + 13*s(p).\nAnswer: -208*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -1222.\nAnswer: -3\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 8:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyykkkkyy. What is prob of sequence kk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -261\/1052 + 72825\/13676. Solve -2\/13*j**3 - 54\/13 + t*j - 10\/13*j**2 = 0.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 295 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241 = -3*t + 29. Let i = t + -63. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.7  (b) 0  (c) -0.5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.3801 or 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4326*c**4 + 47*c - 8.\nAnswer: -51912*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 124630, 124625, 124620, 124615, 124610?\nAnswer: 124605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.157489678 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11622*d**4 + 461*d**3 + d**2 + 25087034 wrt d.\nAnswer: 278928*d + 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q + 10 = 0. Suppose 2*a = 5*f + 14 - 9, -q*a + 4*f = -4. Solve 4*n = 20 - a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s - 53*s - 25 = -4*w - 61*s, 4*w - 4*s - 24 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -54 + 58. Is (-143)\/(-1) + 4 + (0 - m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10023 (base 5) in base 4?\nAnswer: 21332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.76 - 0.46. Let g = 0.7 + -0.5. Which is the nearest to -0.1?  (a) u  (b) g  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37*4\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - g**2 + 1. Let m(f) = f**3 + 5*f**2 - 5*f - 9. Let y(b) = m(b) - 2*r(b). Let i be y(6). Put i, 0, -2 in descending order.\nAnswer: 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 2*r - 6 = 0, 12*r - 9*r = -o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 277, 288, 285, 250, 165, 12, -227, -570?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 11\/190?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (4 - (3 + 0)) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-20)\/((-115)\/30 - -3). Let z(t) = -t**3 + 25*t**2 - 18*t - 64. What is the remainder when z(o) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 24753.\nAnswer: 3\/8251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3 - 306*h + 3 - 7 to z + g*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6478.827um to meters.\nAnswer: 0.006478827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**4\/4 - 5*q**3\/3 - 3*q**2 - 5*q + 4. Let t be r(-5). Solve 7*i - t = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1852972 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5016*k**2 - 5793*k - 310571512?\nAnswer: -10032*k - 5793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d**2 + 51*d - 409. Let c be s(-18). Which is smaller: c or -0.91?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 448 + -433. Let o be 1*(w\/21 + 1). Determine m, given that -4\/7*m**4 - 4\/7*m**3 + 4\/7*m + o*m**2 - 8\/7 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 - -1163?\nAnswer: 1162.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1179395061*h**2*w**3 + h**2*w - 9*h**2 + 2*h*w + h + 2*w + 547209 wrt w?\nAnswer: 7076370366*h**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = y + 17, 5*y - 3*b - 65 = 2*b. Suppose -4*d - 22 = -m + y, -3*m + 68 = -d. What is the remainder when 62 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 695 at least -0.286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57 + 341\/6. Let z = -113.856 - -116.9. Let w = z - 0.044. What is the nearest to 0.1 in 0, w, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahah. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2 = 5*r, 4*h = 2*r - h - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-1\/7))\/z**(-3\/7)*(z**(1\/3)*z)**31)\/((z\/(z**(-9)*z))\/z*z*z**(3\/4))**(-6\/35) assuming z is positive.\nAnswer: z**(9361\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 772061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5*d + 3 = -1, 4 = 2*i - 3*d. Suppose m = 2*m - i. What is the units digit of (7 + -1)\/(m - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 187?  (a) -4  (b) 58\/5  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -55\/4 - -14. Let q = -47 - -212. Let h = q + -163. What is the nearest to -5 in o, h, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/11 and 43\/3735.\nAnswer: 41085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 1. Let j = f - 1. Suppose 3*a - 7 = 8, -5*a + 25 = -j*d. Solve d = 2*t + 2*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.003*-2.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*a - 111, 2*a = -3*p + 38 + 29. Suppose 4*k = -w - 0*w + p, 0 = -5*w + k + 10. Let q = 9 + -5. Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1069969 is divided by 267490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -83 - -116. What is the least common multiple of v and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5516853*j*w**4 - j - 1406507 wrt w?\nAnswer: 22067412*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44104930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(17))*1 + sqrt(17))*5 - ((sqrt(2057)*2)**2 + 2).\nAnswer: -8240 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80 + 388. Suppose 78 - b = -23*n. Let f = 6 - 5. Calculate the smallest common multiple of f and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.30234 to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 96069247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/(-6) - 280\/168. Solve -2*t - 3*p - 5 = q, 10 = 2*t + 2*t + 2*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x + 0*x - 7516381 + 456822381 = 0. What is x rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c*u*v*x**2 + 6*c*u*v*x - 2*c*u*x + 4*c*u + 3*c*x**2 - 5*u*x**2 - u*x - 36*v*x**2 + 10 wrt x.\nAnswer: -2*c*u*v + 6*c - 10*u - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -17246.536 to the nearest ten.\nAnswer: -17250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*f**2 - 2 - 2 - 4 wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8771 is divided by 258.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 - 15*v - 12. Determine j(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, e: 5, c: 5, g: 3, l: 5}. Give prob of sequence ig.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(2*(684\/(-480))\/(-57))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.357 or 89334?\nAnswer: 89334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(13) + -1*sqrt(468) + 3)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - -17. Let l = 32 + q. Suppose 84 = -20*g + 21*g. Calculate the remainder when g is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 833256*n**3 - 123*n + 123*n.\nAnswer: 833256*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1157 + 3?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7750\/(4\/14400*-3). What is s rounded to the nearest 100000?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = c + 3*c + 8, 0 = -d. Is c at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -n - 0*n. Let j be 3\/((-6)\/(-4)) - 0. Let m = -64 + 59. Which is the closest to j?  (a) 5  (b) n  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4*b + 4. Let n(h) = -7*h - 6. Let v(f) = -13*f - 7. Let w(l) = 3*n(l) - 2*v(l). What is 6*g(i) + 5*w(i)?\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s**2 + 5*s. Let m be u(-5). Suppose -2*t - 3*t = -m. Solve 0 = -4*c - c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -117 - -99. Let b be (24\/f)\/(4\/(-6)). What are the prime factors of (-1400)\/(-12) - b\/(-9)*-3?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99\/1627 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.233954 kilometers in millimeters?\nAnswer: 3233954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 329 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4616*m**4 - 5*m**3 + 3*m**2 - 2526*m + 3 wrt m.\nAnswer: -110784*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in -16955, -0.4, -2, 2\/11, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x**5\/7 - 143*x**4\/7 - 1374*x**3\/7 - 1422*x**2\/7 + 4097*x\/7 - 165 = 0. What is x?\nAnswer: -35, -11, -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 7. Let s(d) = -4*d**2 - 20. Let j(l) = 7*m(l) + 2*s(l). Differentiate j(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2 - 9*s + 8. Give p(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3429 - -48073\/14. Calculate the common denominator of (-597)\/(-72) - (34\/6 + -5) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 3*c + 12*c. Solve 0*y + 5*p = -y + 12, 0 = -2*p + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -20666, -20667, -20684, -20723, -20790?\n\"Answer: -f**3 - 2*f**2 + 12*f - 20675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5978 greater than or equal to 5975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = h - 9. Let f = 9\/1256 + -811439\/8792. Let n = 92 + f. Which is the biggest value?  (a) 1\/2  (b) n  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -9. Let z be ((-99)\/12)\/3*y. Suppose -k + z = -0. What is the remainder when 31 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i + 3. Let b be x(2). Calculate the remainder when 59 is divided by (-2 - 8)\/(b\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.166 or 53437?\nAnswer: 53437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + j = 3, 6 = -2*w - 7*j + 11*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4945 - -5032. Calculate the remainder when 602 is divided by d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7238 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + (-1446)\/(-45) - (-4)\/(-30). Let z = o + -21. What is the smallest common multiple of (6\/(-4))\/((-51)\/z - -6) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1799380, 3598763, 5398146, 7197529?\n\"Answer: 1799383*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 0*u - u)*(390 - 252 + 332).\nAnswer: -2350*u","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -2, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2272155 to the power of 1\/2, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 90047759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2948?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4268592 and 4288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1345693 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/390 and 49\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3173 + -933. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -1\/2*d**2 - 1\/2*d**4 - 2 + d - d**3. Let g = 2 - 4. Determine k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -288  (b) 2\/15  (c) 3  (d) 0  (e) 244  (f) -3\/4  (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -56444619 divided by -737?\nAnswer: 76587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 168 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -148 and 0.5.\nAnswer: -147.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1916 + 3899. List the prime factors of b.\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02 - -0.98. Let l = -3 - w. Let y = 26 + -77\/3. What is the nearest to y in l, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2692 = -64*k - 3140 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 10:09 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 + 2*l + 2. Let g be k(-2). Let d(r) = r**2 + 3 - 2*r + 5*r**g + 4*r. Does 12 divide d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*a - 7*a + 100 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-1) - 56727\/4011?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from nnwntnnnwnvwnvttwn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7054 (base 9) in base 16?\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7204768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3053 + 2*j**4 - 3053 - 15*j - 10*j**3 + 11*j**3 + 15*j**2 as d*j**2 + q*j + k + t*j**3 + r*j**4 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14862 and 619084041.\nAnswer: 7431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94815 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*j**3 + 9*j**3 - 58*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -50.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k**2 + 5135*k - 3296047. Calculate p(1285).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + 7.838.\nAnswer: 11.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1605298 meters in kilometers?\nAnswer: 0.0001605298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g - 1. Let b be w(0). Let l be b*(-63)\/6*(-2)\/(-3). Suppose -l = 2*n - 29. What is the greatest common factor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 - p**2 + 3*p**2)*(-2*p**3 - 1 + 1) + 1650*p - 197*p**5 - 1650*p.\nAnswer: -205*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181080*x - 342145*x + 161067*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**2 + 18706950*l - 18706945.\nAnswer: -5*(l - 3741389)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/138 and -83\/2.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - 13*c**2 + 13*c**2 + 3*c**4 - 2*c**4. Let f(w) = -4*w**4 + 6*w**3 - 3*w**2 - w + 2. Let v(p) = -f(p) - 5*g(p). Factor v(b).\nAnswer: -(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 25*a**2 + 16173*a - 419510. Give b(26).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 4*c + 4*j - 100, -3*c = -2*j - 95. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 9:34 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5489932 or 1\/4?\nAnswer: -5489932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/2))**37)**49\/(l**(1\/4)\/(l\/(l*l*l\/(((l*l**(-2)\/l)\/l*l)\/l*l))))**(-43) assuming l is positive.\nAnswer: l**(-2895\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 162213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 76, 77, 70, 49, 8?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 2) + (-116 - -125)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1440021 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 31203110 (base 6) in base 5?\nAnswer: 212341311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 498, 626, 844, 1158, 1574?\n\"Answer: q**3 + 39*q**2 + 4*q + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p. Let l be y(3). Let t(z) = -2*z**l - 2*z - z**2 + z**3 + 2*z**2 + 3. Let i be t(2). Which is the closest to 0.1?  (a) 1\/11  (b) -0.3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1757 divided by -7\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92 + -89. Let g = -1 - -1. What is the derivative of -4*t**r - t**4 + 4*t**3 + g*t**4 + 2 wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + 7*m - 5. Let b be d(-8). Let i be (-1)\/(b\/9*-1). Solve i*o = -3*y - 9, -4*o + 0*o - 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 + t + 4. Let n be w(0). Let a be 136\/(-10) - 4\/10. Let c = n - a. Calculate the smallest common multiple of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 461 = -3*d, -739 = -5*d + 17*i - 13*i. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - 1 + g**2 - 28*g - 37*g + 65*g in the form w*g + q*g**2 + s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-126)\/20*(-935)\/561 + -2. Find l such that w + 1\/4*l**3 + 5*l**2 + 53\/4*l = 0.\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1978 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*v + 386, 4*v = -19*l + 16*l + 1133. Suppose -3*z + 1133 = -d + 18, z - d = l. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 + -24. What is the highest common divisor of k and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*c**2 + 16649736 - 16649736.\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 30*w**3 + w**2. Suppose 7*u + a = 2*u + 29, 5*u - 35 = 5*a. Suppose 2*g + 4*q - 14 = 0, u = -g + 2*q + 1. Is d(g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.797485675 rounded to 5 decimal places?\nAnswer: 0.79749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 24*k**2 - 45*k + 24. Let o be d(22). Determine w, given that 1\/6*w - 1\/3*w**o + 1\/3 - 1\/6*w**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i - 6864 = 3*i. Is i a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9934 + 15267. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30567 - -30572. Let x(m) be the third derivative of -11\/60*m**4 + 13\/150*m**f + 2\/15*m**3 + 0 + 0*m - 1\/75*m**6 + 46*m**2. Solve x(t) = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19390713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a7 (base 12) to base 13.\nAnswer: 25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + r + 1. Let l(c) = 3*c**3 + 5 - 9*c**2 - 4*c**3 + 2*c**2 + 2 + 5*c. Suppose 2*k = -3*p - 14 + 39, -p - 5 = -2*k. Give p*t(z) - l(z).\nAnswer: z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3632?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -663\/19, 3, -10\/9 in decreasing order.\nAnswer: 3, -10\/9, -663\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}