diff --git "a/data/dm_maths/full_data_2/1044_11255.jsonl" "b/data/dm_maths/full_data_2/1044_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1044_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put 75, 0.1, -2\/5 in increasing order.\nAnswer: -2\/5, 0.1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:01 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 840 and 21630?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6657 + -7971.8. What is b rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 424266.\nAnswer: -5\/141422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + -1 - (63 + -88)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 317d - -68?\nAnswer: 31e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -119 + -1 + 0\/1. Let x = -36 - -30. Is (g\/16)\/(1\/x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.165789 hours in days?\nAnswer: 0.631907875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**22*n*n*n)**(4\/21)\/(n*n**(-17)*(n**(-6)\/n)\/n))**(-6) assuming n is positive.\nAnswer: n**(-1208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*x + 2*f + 0 = 51, -15*f + 269 = -5*x - 12*f for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:52 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1549629294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(132)*1)\/sqrt(12) + 4) - ((sqrt(110)*2 - sqrt(110) - sqrt(110))\/sqrt(10)*-6*5)**2).\nAnswer: 15*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101000011100 (base 2) to base 12\nAnswer: 15b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 32*b + 2. Let x(k) = -11*k**2. What is x(v(t))?\nAnswer: -11264*t**2 - 1408*t - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7682 = -207*z + 1058 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.08 - -22.82. Let d = -0.26 - w. Let t = 10.999965 + d. What is t rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -21. Suppose -6*u = -2*u - 4*r - 60, c = -2*r. Let m = u + -4. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 - 12*s**2 + 48*s + 192 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 - 7*w - 10. Let v be d(-6). Let m = v + 120. What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -26*n. Let t(b) = 3*b. Let k(q) = 5*q. Let p(a) = -4*k(a) + 5*t(a). Calculate p(x(s)).\nAnswer: 130*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2674300437.\nAnswer: 3, 297144493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d - 31. Let q be z(-15). Let y = -74 - q. Let l = 51 - y. Solve -x = 4*o + x, 0 = -4*o - l*x - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8174 (base 9) to base 13.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.44 + 0.06. Let c be ((-8)\/(-12))\/((-2)\/(-12)). What is the second biggest value in -4, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*n + 608 + 2907*n - 608.\nAnswer: 3108*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 5432. Let x(n) = -n + 21. Calculate k(x(b)).\nAnswer: -b - 5411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 11*b**2 + 34*b - 253. Give g(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 146, -31048, 1 in ascending order.\nAnswer: -31048, 1, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 - 0.4. Let k = 2 - i. Let u = k - -1. Is u bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -3*j**2 - j + 61. Suppose 3*i = -4*z - 4 - 1, -5*z + i = -8. Suppose -u + z = -0*u. Give d(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22910 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103\/17 + -9252\/1513. Let c = 3323\/534 + m. Let i = -652\/7 - -93. Calculate the common denominator of c and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698817 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 7. Suppose -2*n - 7 = -n - 3*h, -4*n - 43 = 3*h. Let f be x(n). Solve f*a = 4*a + 5*t - 28, 3*t - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i**2 + 17*i - 80. Let w(k) = 3*k**2 + 6*k - 27. Determine 11*w(q) - 4*y(q).\nAnswer: -3*q**2 - 2*q + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1795*u**2 - 1435*u - 19991352 wrt u?\nAnswer: 3590*u - 1435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987661?\nAnswer: 191, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475539.75us to hours.\nAnswer: 0.000132094375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17802, 17798, 17794, 17790, 17786?\nAnswer: 17782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 m when four letters picked without replacement from myyyyym?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -22691 > 0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + j + 2*j + 1. Let b(p) be the third derivative of -1\/2*p**3 + 4*p + 0 - 5*p**2 - 5\/24*p**4. Determine -b(t) - 3*s(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 10100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*i + 1676, 195*i - 192*i + 15 = 0. Calculate the highest common factor of 320 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*o**4 + (4 + 1 - 3)*(3*o**4 + o**4 - 2*o**4) - 4*o**4 - 12*o**4 - o**4 - 3*o**4 + 2*o**4 + 2*o**4 - 3*o**4 + 5*o**4 + 2*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 3 = 3*z. Let y be 1760\/z - (-1 - -1). What is the greatest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 79573?\nAnswer: 79573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(180))**2 + -5.\nAnswer: 4493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 6750?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (5 + ((1 + sqrt(847))**2 - sqrt(847)) - ((0 + sqrt(847))*-1)**2) + (2 + (sqrt(847) - (sqrt(847) - sqrt(847)*-1)) + -2)**2).\nAnswer: 66*sqrt(7) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*((1 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180) + -3)*4*4*4)**2.\nAnswer: -1769472*sqrt(5) + 26689532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 286\/(-65) + (3 - -1). Let j = 1.19 - -3.81. What is the nearest to -3 in j, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: How many minutes are there between 9:17 PM and 9:12 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009792 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 50. Let m be q(14). Let b(p) = 327*p**3 - 8*p**2 + 7*p + 14. Let d be b(m). What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 920 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*d - 140 = 0, 3*v = 2*d + 123 + 91. Let m be (-3)\/4 - 537*(-6)\/v. What is the highest common factor of 484 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q**4\/2 - 9241*q**3\/4 + 206489*q**2 - 389279*q - 28860 = 0. Calculate q.\nAnswer: -740, -1\/14, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 879118 * 0.1.\nAnswer: 87911.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 4*d**2 + 3*d**2 + 7 - 2*d. Let v(q) = 10*q**2 - q + 10. Let y = -4 - -4. Suppose 5 = -g, y*g + 3*g = -4*s + 13. Give s*o(j) - 5*v(j).\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 33*c**2 - 23*c + 375. What is d(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15828364 - 15828364.8000009. Let l = d + 0.8. What is l rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 129 - 704*c**2 + 291 + 4*c - 164.\nAnswer: -704*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-43)*(c*c\/(c\/(c**(-2\/5)*c)*c)*c)**(-2\/17)*((c*(c*c**(2\/3))\/c*c)\/c*c)**(-8\/5)\/(c**(-1)\/c**(-5)) assuming c is positive.\nAnswer: c**(-13121\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(50)*5)\/(sqrt(490)*-6).\nAnswer: 5*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-five quarters of a century?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(222 + 0). Let m = 4306318\/39387 + -2\/13129. Let p = b + m. What is the second biggest value in 2\/11, 1\/10, p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1. Let z(m) = -3*m - 23. Calculate 4*y(u) + z(u).\nAnswer: u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -157*g - 11615. Calculate s(-74).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2182 (b) 0 (c) -2\/7 (d) -0.002 (e) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.3 (c) -0.052278 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136018 + 66018. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**2 - 627*u + 94286?\nAnswer: 4*u - 627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 + (13 - 35 - -38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 2*t + 1. Let n be p(-1). Let z be -3 + (-162)\/((-9)\/3). Let q = z - 48. Sort -4, q, n in decreasing order.\nAnswer: q, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 1025, 1651, 2369, 3209, 4201?\nAnswer: 5375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 26. Let d be -2*(-5)\/((-10)\/g). List the prime factors of -2 - (-11 - d)*4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9 - 78*u - 8 - u**3 + 13*u**2 + 79*u + 6*u**2. Let r be z(19). Find the third derivative of 2*p**2 + 12*p**4 - 3*p**r + 0*p**2 + 0*p**2 wrt p.\nAnswer: 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (20 - -2) - 4) + 30 + 1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) + 100\/(-228). Let i = 1871\/4382 + 1\/626. Which is the smallest value? (a) -0.01 (b) u (c) i (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -90 (b) -0.5 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1008) + 1 + 4 + sqrt(1008) + 1 + -1))**2.\nAnswer: 240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111400736.\nAnswer: 2, 3481273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1491 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -32\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/30*(1 - -20) + (-42)\/(-6). What is the greatest common divisor of u and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 38 + 46 - 2*i**2 - 31 + 26. Give p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3120 - 4?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*m, -4*a = -m + 7 + 8. Let b be 2 - 1 - 0\/16. Let p be (a + b)*(-11 - 5139). What is p rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:15 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:38 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 times -6974.23?\nAnswer: 648603.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3289, 1, 5, -8 in ascending order.\nAnswer: -3289, -8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 14 = -11*i + 14*i, 2*k = 24*i + 58 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m - 4*m + 5*m)*(-3*m - 2*m + 6*m)*(-2 + 2 - 2) to x*m + d*m**2 + s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 2*y + 27. Let r(m) = -13*m**2. Let p(c) = -6*c**2. Calculate y*r(t) + 7*p(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**0*k)\/(k*k**(-2\/5))*(k\/(k*k*(k*k*k*k**(-2)*k*k)\/k))**(2\/7))**1)**(4\/27) assuming k is positive.\nAnswer: k**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -51 - -2)\/2. Let g = -10 + o. Let f = 30 - g. What is the remainder when 59 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -2*c**7\/21 - 16*c**6\/15 + 14*c**5\/5 + 16*c**4 + 18*c**3 + 1551*c + 3. Determine z, given that l(z) = 0.\nAnswer: -9, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guwwggwuugwg. Give prob of picking 3 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 16*u + 9. Let g(v) = -v**2 + 2*v - 1. Let m(a) = -6*g(a) - q(a). Let y(c) = c**2 + 6*c - 6. Let x = -15 - -9. Let i be y(x). Give m(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 50153117 and 50153114 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 4 + -10 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/22 and -55\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + d = -2*f + 6, 4*d = -f - 9. Suppose 0 = 4*q + 2*p - 14, 2*q - 4*q - 2*p = -10. Solve q*y + f = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10818 divided by -3606?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272*p + 2686*p + 459*p + 2115*p + 3360*p + 6686 wrt p?\nAnswer: 8348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppupsssp. What is prob of sequence up?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 17*a. Let t(x) be the first derivative of -4 + 0*x**3 + 4*x + 0*x**2 - 1\/12*x**4. Let f(l) be the first derivative of t(l). Determine y(f(b)).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249752 a multiple of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327869388?\nAnswer: 2, 3, 7, 11, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3366, 6361, 9356, 12351, 15346, 18341?\nAnswer: 21336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396387 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: Suppose 35*f = 52*f - 3808. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/61 and -103\/140.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -307710 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1749208 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67095, -267789, -602077, -1069959?\nAnswer: -1671435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 2, f: 1}. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 31 = 23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 < 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*v**3 - d**3*v**2 + 1500251*d**3*v + 3241*d**2*v**3 - 4*d**2*v**2 - 74*d*v**3 wrt d.\nAnswer: -6*v**3 - 6*v**2 + 9001506*v","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -412*d + 400*d = -60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4957 minus 28389.63?\nAnswer: -28389.1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -354117687 divided by -6212591\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -22201?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r. Let t(g) = 0 + 2*g + 8 - g. Let s be t(-7). Let a(y) = 1 - s + y. Determine i(a(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4905 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*o**3 + 6*o**3 + 40*o**3 + (o + 2*o - o)*(-5*o**2 + 2*o**2 + 2*o**2) - 71*o**3 - 75*o**3 + 149*o**3 in the form j + n*o + y*o**3 + s*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round 1004950 to the nearest one thousand.\nAnswer: 1005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12281 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1.3, -4\/9, 2\/15, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3197 + -4562. What is the units digit of 8*(-3)\/(-60) - g\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3547 + 221205?\nAnswer: 224752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26039*j + 103781. Give a(-4).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*b + 79, -b - 83 + 16 = -3*l. Calculate the highest common factor of 63 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-9)\/(c\/(c*c**(-18))*c))**(-28))**(-33))**(-3) assuming c is positive.\nAnswer: c**77616","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 1363. Let z(t) = 216*t. Let p(l) = -247*l. Let y(n) = -7*p(n) - 8*z(n). Determine y(q(j)).\nAnswer: -j**2 - 1363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-176)\/64)\/(2\/64). Let y = t + 223. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0, 2\/3, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*g + 8, 317*g - 312*g = -4*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -72. Let t = -22 - z. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + -4 + 39 - -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 133*t + 686. Determine c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/35)*c**(-1\/3) assuming c is positive.\nAnswer: c**(-41\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 - 4*i**4 - 23*i**3 + 54*i**2 + 72*i = 0. What is i?\nAnswer: -4, -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3 + 35 = 0. Suppose -13 = -2*f - 5*q, -2*q + 12 = f + 5. Are p and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 v when four letters picked without replacement from {t: 1, e: 2, q: 2, v: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c - 2*d - 80, 0 = c - 4*d - 46. Suppose 4*b = 5*q + 85, 6*b - 8*b + c = -2*q. Calculate the lowest common multiple of 16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + 36. Let n be (s\/(-21))\/((-2)\/(-42)). Suppose -4*q = -21 - n. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 1\/9*m**2 - 1\/27*m**3 - 2*m - 5\/54*m**4 + 4 - 1\/30*m**5. Let s(k) be the first derivative of u(k). Factor s(j).\nAnswer: -2*(j + 1)**2*(3*j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1591.5, -0.9 in decreasing order.\nAnswer: 1591.5, 39, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 72996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 4. Let a be t(5). Let f = -0.131 + -1.589. Let m = 1.42 + f. What is the smallest value in -5, a, 1\/3, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 74*q = 228, 2*n + 14486*q = 14481*q + 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 1. Calculate s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2284*o**2 - 94*o + 193. What are the prime factors of c(2)?\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1454 = 4*d + 5*h, 6*d - 1820 = d - 5*h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6 = 22. Suppose 4*h = b - 128, -u*h - 178 = -3*b - 42. Let n = 96 - 129. Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*v + 1445 = -0*x, -2*v = 5*x - 1459. Suppose 5*y - 101 = -3*c - 0*y, 220 = 5*c - 2*y. Calculate the remainder when x is divided by c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 1\/60*u**5 + 0 - 1\/3*u**3 + 0*u + 0*u**4 + 22*u**2. Determine z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c - 17. Let o be w(4). Let g(v) be the second derivative of v + 1\/4*v**2 + 0 - 1\/6*v**o + 1\/24*v**4. Factor g(q).\nAnswer: (q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1743)\/(-23655))\/((-21)\/(-15))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/3 - 2230*l\/3 + 63829\/3 = 0.\nAnswer: 29, 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 - 2*p + 6. Let o(k) = -5 + 3*k**2 + 0*k - k + 3*k + k**3. Determine -5*h(w) - 6*o(w).\nAnswer: -w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 7574929, 3 in decreasing order.\nAnswer: 7574929, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y. Suppose -2*t - 2*o = -10, 0 = -t + 2*t - 5*o + 13. Let h(f) = 202*f**t + 208*f**2 - 406*f**2. Determine g(h(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*u*y**4 - 80330*u*y - u + 756*y**5 wrt y?\nAnswer: -840*u*y**2 + 15120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 1320, 1938, 2528, 3084, 3600, 4070?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*b**5 - 211*b + 1?\nAnswer: -4160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 60*q**2. Let x(c) = -3*c. What is l(x(a))?\nAnswer: 540*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayinmgiminin. Give prob of picking 1 y and 3 n.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011001111111011 (base 2) in base 8?\nAnswer: 431773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 - 139949*d**2 - 239*d + 229494065 with respect to d.\nAnswer: -4*d**3 - 279898*d - 239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 4*q + 2. Let a be d(-3). Let i(z) = -2*z**2 + 4*z + 3. What is i(a)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49502 and 3?\nAnswer: 49505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088256037?\nAnswer: 7, 298322291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {m: 2, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23037.\nAnswer: 3, 7, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 1. Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2*z + 36. Let v be u(-7). Put -3, 3, v in descending order.\nAnswer: 3, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569516 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215261*g**3 + 2*g - 17465?\nAnswer: -1291566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134740?\nAnswer: 2, 5, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 7 - 2*f - f**2 + f**3 - f**4 - 1 - 7 to the form o*f**4 + w + a*f**3 + u*f**2 + k*f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsvv when four letters picked without replacement from {r: 2, s: 1, e: 4, v: 9}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*36\/8. Let f = i - -6. Calculate the smallest common multiple of 9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:36 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.7 + -24.8. Let q = -5 + 8. Which is the nearest to n? (a) -0.05 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 5*u = 0, -2*b - 2*u = 0. Let m be b - -3 - (6 + -6). Is (1\/3)\/(m\/639) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -3.7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -27*b - 80. Give a(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 57 = -5*t, 9*t - 10*t - 13 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 5*j - 4, 3*j + 6 = -f. Suppose 367 = 3*k - 2*n, -476 = -4*k - f*n + 2*n. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 5*o**4 - 3*o**2)*(3 - 1 + 0) - o**4 - 3 + 3 + (-3*o**2 + 2*o**3 + 3*o**2)*(o - 3*o + 4*o) + 0*o**2 + 0*o**2 + o**4 + 2*o**4 + 2 - 2.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*v = 9, 4*j - 10 = 4*v + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -19, -28, -41, -58, -79, -104?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 8*n - 79012 = 5*a, -3*a = -6. Let j be -268978*(4\/(-8) + 1). Let m = n + j. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5\/2 + 8873*o**4\/2 - 33515*o**3 - 102466*o**2 - 35340*o = 0.\nAnswer: -2, -2\/5, 0, 10, 1767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 divided by -2?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 1301, 1932, 2563?\nAnswer: 3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w + 2546*w + 1552*w)*(2 - 6*w + 12*w - 2*w + 1) to the form d + n*w**2 + a*w and give n.\nAnswer: 16364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2433 = -0*u + 2*u - z, 0 = -4*u + z + 4865. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130112 = 7*b - 130021 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 189106709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + 91?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4281, 4237, 4215, 4221, 4261, 4341, 4467?\nAnswer: 4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8181 - -9063. What is the second smallest value in -2\/3, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 249, 248, 247, 246, 245?\n\"Answer: -d + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 462*y**2 - 1824*y + 640. Calculate t(227).\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*r**5 + 2*r**4 + 101*r**2.\nAnswer: -2580*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 1\/((-2)\/(-38)) is divided by (-14)\/(((-3)\/(-2))\/((-6)\/8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 5*j + 15. Let w(o) = -3*o**2 - 4*o - 12. Let s(k) = -5*w(k) - 4*z(k). Let g(a) = 14*a**2. Determine g(s(l)).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*k + 8, 23 = 3*o - 2*k + 7. Let g be -11 - -20 - 1*o. Factor -8*j**2 - g*j**2 + 11*j**2 - 4*j + 10 - 2.\nAnswer: -4*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)\/((h\/(h*h**(-2\/7)\/h)*h)\/h)*h*h*(h**(-5\/3)*h)\/h*h*h*h**(-4\/7)*h assuming h is positive.\nAnswer: h**(-95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 2*a**2 - a + 1. Let m be k(-1). Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89924, -144969, -200014?\nAnswer: -255059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z - 16*z - z + 2. Determine s(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 21*d + 55. Give s(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3407 - 5.\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -56060 at least -448491\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.99 and 7948.5.\nAnswer: -7869.015","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188571, -188572, -188573, -188574?\nAnswer: -188575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/26)\/(r\/(r*(r\/(((r\/(r\/(r\/(r*r*r**(14\/11)*r*r*r))))\/r)\/r))\/r)))\/(r\/(r\/(r\/(r\/(r*r**(1\/10)))))*(r\/(r**(6\/11)*r*r)*r)\/r*r) assuming r is positive.\nAnswer: r**(4831\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 34111*s**6\/40 + s**5\/10 - 11*s**4\/8 - 13*s**3\/3 - 87*s**2. Let m be a(-9). What is m rounded to the nearest one million?\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1312*l**3 + 347*l + 42. Let n(d) = 1313*d**3 - d**2 - 346*d - 56. Let h(x) = 4*a(x) + 3*n(x). Find the third derivative of h(j) wrt j.\nAnswer: -7854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 7*a. Suppose -3*i + 906 = -3*g, 4*i + 2*g - 935 - 285 = a. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/70*-5)\/(10\/440*2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944640936183*a - 944640936183*a - 31*a**2.\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/48)\/((-7)\/((-140)\/(-450)))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + 2. Let i = 20622.1 - 20622. What is the nearest to 4\/7 in 1, w, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {m: 1, g: 4, j: 2, v: 5, o: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-6))\/((-2)\/(-68)). Suppose -r = -k + 5*h + 13, -3*k - h = -278. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1553.7 + -1552.7. Which is the closest to 0.5? (a) j (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4. Suppose k = -2*t + 3*a + 15, -5*t - 5*a = -43 - 32. Let s(i) = -i**2 + 9*i + 22. What is the lowest common multiple of t and s(9)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, v: 4, i: 2}. What is prob of picking 2 v and 2 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 751 + -484. Let g = -256 + s. What is the lowest common multiple of g and 91?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4014720?\nAnswer: 2, 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -26*m - 24. Let c be i(-5). Suppose -766 = -6*j - c. Suppose -j = -5*d + 15. Solve 0*t + 5*s - d = 2*t, -t - 20 = -5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -305094, -28, 0.4?\nAnswer: -305094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 42*g + 410. Let f be a(-8). Solve -13 = -f*t + 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 16\/3*l**3 - 4\/9*l**4 - 5*l**2 - 11\/9*l.\nAnswer: -l*(l + 11)*(2*l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 25*c - 223. Let d be j(9). Factor 4\/9 - 2\/9*n - 2\/3*n**d.\nAnswer: -2*(n + 1)*(3*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4725 + 14745 = -185*b + 4461 - 1826 for b.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1. Let q = -4 + 5. Let b be q + 6 + (2 - 4). Let r = b - 3. Calculate t(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.515694 + 15.484396. Let r = s - 84. What is r rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or -81934?\nAnswer: -81934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 66 - 11. Which is greater: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/7 - 60*v**2\/7 - 300*v\/7.\nAnswer: -3*v*(v + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 85.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = 0, 2*b - 4*m = -3 - 5. Suppose -z - 24 = -b*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 0.3, -6\/13, -0.5, 2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 0, 5.\nAnswer: 0, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y - 2*y**4)*(0 + 2*y + 0) - y**5 - 3*y**5 + 2*y**5 + (y**4 + 2*y**3 - 2*y**3)*(-3*y + 5*y - y) + y**5 - 3*y + 3*y.\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-133)\/(-28) + 27269\/(-6468) and -131\/42.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let w(q) = 10044*q**2. Give s(w(t)).\nAnswer: 201763872*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:06 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1042240 and 9771?\nAnswer: 3126720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 2*v + 2*v)*(-7*v**2 + 3*v**2 + 2*v**2)*(-2 + 4 - 3)*(50*v**2 - 26*v**2 + 142*v**2).\nAnswer: 1328*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 22*h**2 - 22*h - 23. Let s be f(-23). Let v = 34 + s. Is v\/(-1*(-3)\/(-8)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 231*y**2. Let a(w) = -2*w. Give a(z(n)).\nAnswer: -462*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416191361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**8\/3360 - a**7\/840 - a**6\/360 + a**5\/120 + a**4\/3 - a. Let q(b) be the third derivative of f(b). Determine q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 2\/7 (c) -5 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74.23 and -0.2.\nAnswer: 14.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 56*f + 0 in the form i*f + k and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 4*w - 6 = 6*w, 10*o - 16*o - 45 + 39 = -8*o - 10*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 4*i + 2. Let y be o(-4). Solve -2*u = y*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, m: 2, r: 1, w: 2, t: 1}. What is prob of picking 1 f, 1 r, and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 10. Let l = 121 + -116. Suppose -r*p - l*a = -3*p + 13, -3*p + 19 = -2*a. Solve -z + p*y = 2, 0 = 3*z - z - 5*y + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -27*r + 670 - 135 - 11 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60940 is divided by 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95996 is divided by 2101.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 84*w**2 - w - 8. Let v be s(-2). Calculate the greatest common factor of 33 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*c. Let n be (-2)\/(-8) + 1\/(-4). Solve c*a = -n*a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 5 - (-6 - -8). Suppose 4*k - 8 = g*k. Suppose -3*h = -49 + k. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w - 421. Let l be t(-17). Let c(f) be the third derivative of 1\/200*f**6 + 1\/5*f**3 + 0 + 0*f**5 - 3\/40*f**l + 7*f**2 + 0*f. Factor c(s).\nAnswer: 3*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4067139.\nAnswer: 3, 1355713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224559 divided by -3.\nAnswer: -74853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -57. Let o be 1\/i*(20\/(-3) + 4). What is the nearest to -2\/3 in 0.5, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -13. What is the smallest common multiple of (-216)\/(-16) + (-2)\/w and 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(9\/24 + (-38973)\/(-72)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*k**2 - 2\/7*k**3 - 2\/7*k**4 + 0 - 6\/7*k.\nAnswer: -2*k*(k - 1)**2*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.436 and -0.5.\nAnswer: -16.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - 3. Let s be u\/26*4\/6. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -3 + 2\/(-1). Let o = q - -14. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.5 + 37.5. Which is the closest to x? (a) -5 (b) 2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-3 - (-3)\/3). Suppose 0*t = -v*k - 4*t + 372, -4*t - 276 = -4*k. Suppose -c = -4*c + k. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19657 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: Is 3320132831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 316. Suppose -62*t + 4968 = 84*t - 8*t. Calculate the remainder when r is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -7) + -4 + -7 + 0 + 3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.69 + 1.1319?\nAnswer: 0.4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295 by -295.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 9917 = 65*a + 144*a. Solve -3*p + 3*j = -a + 17, -4*j - 5 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -17, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994005.\nAnswer: 3, 5, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 7, p: 4, s: 3, o: 4, i: 1}. What is prob of picking 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 319 - 627. Let c = a - -1317. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44748 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 35. Let k be f(11). Suppose -324 = -k*n + 61*n. Is n >= -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.8629 decades to months.\nAnswer: 118423.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 3\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(6*3\/3572238*(-10)\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 134809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/r**(-5))\/r)))\/r**(-2))\/(r\/(r\/r**(-17)*r*r)*r*r**6) assuming r is positive.\nAnswer: r**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l = -v - 10, 2*l + 2 = 4*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 174971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3 - -3)\/2)\/2. Suppose -3*k + 2*u + 10 + 6 = 0, 15 = -3*u. Suppose w = -a*p - 3*p + 9, -20 = -k*p + 4*w. Solve p*t - 31 = -11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -13. Suppose 2*y + 75 = v*y. Calculate the remainder when 57 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t + 7*t**5 + 3*t**5 - 3*t**5 - 2*t wrt t?\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - o**3 + 3*o**3 - 9*o**2 + 8 + 3*o**2 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3817, -3800, -3783, -3766, -3749, -3732?\n\"Answer: 17*y - 3834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-418)\/(-255) - ((-78)\/(-1326) + 131\/85)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13695121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 15*l + 2. Let o be m(-15). Suppose -s + 187 = 4*r - 0*s, -o*r = 5*s - 71. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/15 - 2538206*t**3\/15 - 5076406*t**2\/15 - 2538202*t\/15 = 0.\nAnswer: -1269101, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/9 + 42358*x**2\/3 - 2033696*x\/9 = 0.\nAnswer: -63553, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 20 = -3*d, 0 = 2*q - d - 8. Let h be (q\/4)\/(-1*(-5)\/20). Suppose h*s = 3*s - 4*s. Let w(n) = n**2 - n - 5. Give w(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2993264 to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1197294 divided by -41286\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -107 + 119 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 112. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5 = -7. Let o(q) = -5*q + 10 - 3*q**v + 5*q**2 + 2*q**3 - 5. Calculate the smallest common multiple of 11 and o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*z - 4*z. Let d be (2 + 3)*z\/(-10). Suppose 0 = -5*u + d + 23. Solve 0*v + u = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, 0.006, 0.4, 10, -1\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10841091 by 49.\nAnswer: -10841091\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 9. Let x be w(-3). Solve x*v - v + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 x when four letters picked without replacement from xaxxxxxxaxx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 = 12954*f - 13107*f + 7087 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 3*i - 6, -8 = r - 4*i. Suppose 5*j - 2*j - 63 = r. Let x = 25 - 14. Calculate the remainder when j is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2095 = 2*l - c, 9 = 4*c - c. Suppose 34*t = l + 7383. Which is greater: t or 247?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 21 = 3*g, 3*z - 7 = -4*g. Suppose z - 29 = -2*t. What is the remainder when (-3)\/8 + ((-24885)\/(-120) - -8) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.993524ml to litres.\nAnswer: 0.003993524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 + 14*o**2 + 7\/120*o**6 + 0*o**4 - 13\/60*o**5 + 0*o**3 + 0*o. Find the third derivative of c(v) wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41331, -165407, -372291, -662049, -1034747?\nAnswer: -1490451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279633 is divided by 564?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -8*o**3 - 1260*o**2 - 21525*o + 407. What is q(-138)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 26. Let v be (-11)\/(-9) - (-6)\/(-27). Suppose q + 8 - v = 0. Calculate the smallest common multiple of x(q) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*u**2 - 489*u**2 - 233*u**2 + 200*u**2 - 304*u**2.\nAnswer: -1015*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 57, 77, 83, 69?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -446, 23, 3, 0, -2.\nAnswer: -446, -2, 0, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5060)\/(-207) + (-8)\/18. What is the greatest common factor of g and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 0.2, 1\/3, 4, 7, -0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152281 - 152281.210018. Let r = 0.21 + k. What is r rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by 70992.\nAnswer: 41\/17748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 - 110*l**2 + 652*l - 84405. What is d(61)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*(-57 + (-2 - 8)). Put 1, -4, b in decreasing order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 778 = -7*q - 27*j + 23*j, j - 18 = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 638 = 2*o - 426, 4*o + 10*y - 416 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) 2 (b) -63 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89114949 by -2277.\nAnswer: -39137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83764200 divided by 1300.\nAnswer: 64434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1278 or 1276?\nAnswer: 1278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*m = 60, 0 = 4*m - 3*m - 5. Solve -4*k + 2*k = w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a*m**2 - 165*a*m - 4*a - 1217*m**2 + m + 22 wrt a?\nAnswer: -6*m**2 - 165*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r + 4. Let h be g(0). Suppose -72 = -h*t - 12. Suppose -2*k - 3*c + t = 0, -k - c + 13 = 5. Calculate the remainder when 26 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 9. Let p be (-32)\/((-3 - -1)*a). Let i be 6\/4*p\/12. Solve i*n = 8 - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69830 (base 11) in base 6?\nAnswer: 2054442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t - 993 + 777 + 590 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 11*q**2 - 3*q + 2. Let y = 6 + -17. Calculate the remainder when l(y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 1462*f - 1473*f.\nAnswer: -11*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = 33*n - 112. Suppose 426 = n*x - 230. Calculate the remainder when x is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -10\/9 (c) -4.6 (d) -3 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-38)*u**(-2\/5)*(u*(u**(-7\/3)*u)\/u)\/u*(u\/u**(-2\/7)*u**(2\/11)*u)**(-33) assuming u is positive.\nAnswer: u**(-8837\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b*r*v - 34*b*r - 451*b*v**2 + 4*b + r**2*v**3 - 2*r**2*v + r*v**4 wrt v.\nAnswer: -902*b + 6*r**2*v + 12*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 61)\/(2\/(-8)). What is the remainder when 42 is divided by (-2)\/(-8) + q\/16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136824992.\nAnswer: 2, 3, 3947309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34300\/13 in 3, 12, 2\/11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/6, 3, 0.26, 5 in descending order.\nAnswer: 5, 3, 0.26, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000694896 rounded to seven decimal places?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - -76*13\/(-104). Factor -w + 0 - u*w**2.\nAnswer: -w*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2414 + -915. Let r = -925 + h. Is r\/3 + (-8)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n**3 - 16*n**2 + 6*n + 4. Let v be l(-8). Suppose 2*s + 13209 = -3*f, -s - f - 3*f = v. Round s to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4682 divided by 1\nAnswer: 4682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/49 - -1783\/490. Let o = 274747785523\/4740 + -57963667. Let p = o + 28\/237. Calculate the common denominator of p and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/5)\/(v\/(v*v**(2\/9)))*(v**(1\/2))**(1\/3) assuming v is positive.\nAnswer: v**(107\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -2*c**3\/3 - 3*c**2\/2 + 4. Calculate i(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*n - 5, m = n + 4*n - 6. Let a = 2 - 3. Suppose 3*v + 17 = 4*p, -v + 5*p = 3 + 10. Sort n, v, a.\nAnswer: v, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 127.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -42.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in 0, 992, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(6615\/(-84)))\/(4\/(-46))*15\/(-5)?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 38. Let n(q) = -q**3 + 4*q**2 - 2*q + 3. Let h be n(2). Let j(k) = k**3 - 6*k**2 - 5*k - 1. Calculate the remainder when x is divided by j(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42795+-24605.22\nAnswer: -67400.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 at least -776\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, v: 3}. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404524 is divided by 141?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46290.\nAnswer: 2, 3, 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-60)*347520\/399648.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + b + 1404 = 0, 111*b = -2*y + 107*b + 2826. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -17\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 636613.4 millimeters?\nAnswer: 0.6366134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t + 120. What is w(22)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 17930335 and 17930335 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 + v**3\/3 - 2*v**2. Let d be (4\/5)\/(6\/(-15)). Let y be p(d). Which is greater: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.07, 9\/10 in ascending order.\nAnswer: -0.07, 9\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -26. Suppose 0 = -0*x + 5*x - 25. Suppose -2*b + 6 = 2*r - 3*b, -10 = -x*b. What is the smallest common multiple of q and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 + -424. Let j = 4 + -3. Let r be o*4\/(11 + j). Sort r, -3, 4 in ascending order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 5427845*f - 32567106.\nAnswer: (f - 5427851)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 + 0 = 0. Let g = -5 - v. Let k(d) = -g - 2*d**2 + 3. Let i(a) = 5*a**2. What is i(k(m))?\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -29?\nAnswer: -185\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - -96. Let h = i + -129.9. Which is the closest to h? (a) 0.4 (b) 0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1073*b - 13934 - 26356 = -1613*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 44. What is the third biggest value in m, 4, 2.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4960 to the nearest one hundred.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 4)*(-2*s + 0*s + 4*s + (-s + 3*s - s)*(1 + 1 + 0) + s + 3*s - 3*s) to the form n + w*s and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/169 equal to -3852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 733805 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1335.3749 rounded to the nearest ten?\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 5:07 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*r + 23, 0 = -5*r + 4*v + 7 + 9. What is the third biggest value in 0.18, 0.1, 0.3, r?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*o = 229*o + 760. Put o, 5, -6 in ascending order.\nAnswer: o, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -29. Let g = m + -1. Let b(l) = -24*l**2 + 4*l**g + 8*l**2 + 10*l**2. Let y(k) = -9*k. Give b(y(n)).\nAnswer: -162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 11*y - 2. Let s be f(10). Let v(m) = m + 17. Let n be v(s). Suppose -9 = -o - n. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2017 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/152 and -61\/133?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6987309 and 28\/3?\nAnswer: 6987309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 5. Let x be z(0). Suppose 3*b + 5*k = 2*k, x*b + 4*k = 0. Suppose 4*y + 4 = b, -4*t + 35 = 5*y - 8. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 6, -32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 121920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (168\/9)\/4*3. Let l = -12 + z. What are the prime factors of l\/9 + (-34)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -9. Suppose -i - j*m + 45 = -36, 3*m = -4*i + 311. Suppose 4*v = 3*y - 173, 0*y - 5*v = 2*y - i. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc6c3 - 3?\nAnswer: -cc6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60684, -244610, -551134, -980250, -1531952, -2206234, -3003090, -3922514?\nAnswer: -4964500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 952.\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.97 + -1.1. Let z = -0.43 - t. Which is the nearest to -2\/7? (a) z (b) -0.02 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -1, 50, 129, 236, 371?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuurekjrkurk. Give prob of sequence ue.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -12, 1, 2, -19, 0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (3 + 57*-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9653052 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by -13097?\nAnswer: 242\/13097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54522184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3653 + -709. What is the highest common divisor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 1\/3*x**3 + 0 + 1\/2*x**2 + 13\/6*x**4 + 4*x. What is the units digit of q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 328. Give h(-103).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5830 + -5638. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udduuuuuudd. What is prob of picking 4 d?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -1\/6*q**3 + 0*q**2 - q + 2. Let y(m) be the first derivative of f(m). Let l(d) = -5*d. What is y(l(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 659256 and 16224?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -1, 54822 in decreasing order.\nAnswer: 54822, 6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - -2) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnm when three letters picked without replacement from nmmnmmdnmnxnnnmmmm?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -2. Let i(w) = -w - 33*w**k + 18*w**2 - 1 + 17*w**2 - w**3. Let y be i(-2). Solve -5*l = 3*r + 10, -2*r + 13 = -4*l - y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -967 - 2?\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 230145 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 6 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.87 + 45.37. Which is the smallest value? (a) -1\/3 (b) -84 (c) x (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104559 and 16086?\nAnswer: 209118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2436 + 19451\/8. Calculate the common denominator of -39\/217 and o.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -207*f - 1 + 208*f + 1. Suppose 2 = 3*b - 2*m, -2*b + 0*m = -m - 2. Let w(q) = 0*q - 11*q**b - q + q. Determine w(l(s)).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(1\/10). Is (-4)\/t - (-1051)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5966503965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 952772971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 370299*a - 370299*a.\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -891, -3592, -8093, -14394, -22495?\n\"Answer: -900*k**2 - k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 15*x - 10*x + 17, 2*b + 4*x + 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + l**2 + l. Let v be u(-1). Let x be (-4 - 1\/(-1))*v. What is the first derivative of -1 - a**3 + 0 + 2*a**x wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -47 + 51 - (-1 + 0) - 9. Which is the second biggest value? (a) -2\/11 (b) u (c) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12634 - 12634 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82574.\nAnswer: 2, 19, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 7*j - 10. Let n be l(-8). Let y(d) = -d**2 - 2*d - 1. Let h be y(n). Sort 4, h, 5.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 912 is divided by 503.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194236, 194274, 194326, 194398, 194496, 194626, 194794?\n\"Answer: u**3 + u**2 + 28*u + 194206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2448)*4 - (2*sqrt(153))\/sqrt(9)*2) + -5)**2.\nAnswer: 1000*sqrt(17) + 170025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+0.336\nAnswer: 0.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1533\/(-146)*(-8)\/(-420)*-6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 133610 to the nearest 100.\nAnswer: 133600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c + 1. Suppose 3*h + h - 5*b + 17 = 0, 5*b - 25 = 0. Let w(d) = -4 - 2*d + 1 - d + 6*d + h*d**2 + d**3. What is -3*t(m) - w(m)?\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 (base 14) in base 8?\nAnswer: -457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/59299 >= -0.016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*s - 5*m, -2*s - 3*m + 1 + 4 = 0. Let p = s + 6. Solve t = 1 + p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306457 is divided by 76571.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101252?\nAnswer: 2, 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71626327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1721214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640974.\nAnswer: 2, 239, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3934328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81576 and 75602?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/5 - 2182*t**4\/5 - 84668*t**3\/5 + 1505112*t**2\/5 + 317520*t = 0. What is t?\nAnswer: -1050, -54, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 16, -1\/7, 0.08, -1\/8, 41?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbxxbrbbx. What is prob of sequence xx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 15. Let w = -30 + 24. Let y be (22\/w)\/((-5)\/90). What is the greatest common divisor of u and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 2, t: 2, k: 2, z: 3, f: 2}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30*w**4 - 4*w**3 - 12*w + 4. Let d(l) = 30*l**4 + 3*l**3 + 13*l - 3. Let s(p) = -4*d(p) - 3*z(p). Find the second derivative of s(y) wrt y.\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85496, 342006, 769524, 1368050?\nAnswer: 2137584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 1816*w + 205792.\nAnswer: 4*(w - 236)*(w - 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10111101010111000 (base 2) to base 16\nAnswer: 17ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-19)*x**(-1\/14)*(x*x**2\/x)**(12\/13))**(-4) assuming x is positive.\nAnswer: x**(6270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.86 + 0.14. Let z = -42.5 + k. Which is the smallest value? (a) -1.1 (b) 0 (c) -1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {x: 4, j: 2, b: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -72, 3, -2, -4 in decreasing order.\nAnswer: 3, 1, -2, -4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2922, -9924, -21060, -36324, -55710?\n\"Answer: f**3 - 2073*f**2 - 790*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -1.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 975 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 7)*(-10*z + 11*z + 20*z)*(2 + 1 - 2)*(0*z - 20*z + 2*z).\nAnswer: 756*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278 + 473. What is the greatest common factor of 120 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 315081600 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(0 - -1) + 1. Let t(a) = -a**2 - 11*a + 4. Let h(v) = 5*v - 2. Let i(z) = -5*h(z) - 2*t(z). Determine i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7956)\/(-96) + (328\/320 - 1)\/((-8)\/(-40)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -766 - -807. Suppose -55*t + 28 = -x*t. Solve 0 = t*s - 4 + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-6*(-31)\/(-372))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -780780 divided by 1690\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -4, 6, 12, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 4 + 2*c**2 + 0.\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65549784.\nAnswer: 2, 3, 2731241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o + 7. Let m(j) = -2*j - 2. Let u(a) = -14*m(a) - 4*p(a). Let f(b) = 8*b - 9*b + 0 + 0. Determine u(f(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3422 + 3422.05. Which is the closest to 1? (a) 14 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w\/(w**1*w)*w*w**10*w*w*(w*w*w**(2\/3)\/w*w*w)**(-1\/17) assuming w is positive.\nAnswer: w**(754\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.83 and -17.\nAnswer: -99.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 + 1305722*o**3 + 3917172*o**2 + 3917174*o + 1305725.\nAnswer: -(o - 1305725)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/14)*c*c*c)\/c)**(-1\/85) assuming c is positive.\nAnswer: c**(-39\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**8\/20160 - 2*l**5\/15 + 7*l**2. Let k(o) be the third derivative of w(o). Let j(f) = -13*f**2. Calculate j(k(u)).\nAnswer: -13*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose -4*s = -t*s - 128. What is the units digit of 6\/(-21) - s\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16731614, 16731613, 16731610, 16731605, 16731598?\nAnswer: 16731589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27, -2, 2, 3, 219 in descending order.\nAnswer: 219, 3, 2, -2, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:29 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 16) in base 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 - -1184459.59?\nAnswer: 1184151.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*(5896\/220)\/67?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10376 and 0.1127?\nAnswer: 1169.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -173968 divided by -664?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3385 = -m - 3382, -2*m - 5*b = -18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 16.20371mm?\nAnswer: 16203.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*z = -126*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 5, u: 1, v: 11}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20458 + -20454. Put -84, z, 2, -1 in increasing order.\nAnswer: -84, -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*w**4 + 67*w - 318 wrt w?\nAnswer: 16*w**3 + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14246.4 - 13372. What is k rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 8:01 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**3\/3 - a**2 + 8*a + 39. Calculate the smallest common multiple of v(0) and (-24)\/10*(-20)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f**4 - 6*f**3 - 6*f**2 + f. Let v(y) = -y**4 - y**3 - y**2 + y. Let r(m) = -p(m) + 6*v(m). What is the second derivative of r(g) wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + t**4 + 2*t**5 + ((-2 - 4*t + 2)*(-t + 0*t + 0*t) - 2*t**2 + t**2 - t**2 + 2*t - 2*t - t**2)*(-6*t**3 + 6*t**2 - 6*t**2).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 60822.68502048.\nAnswer: 60822.28502048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**7\/315 + z**6\/225 - z**5\/50 - z**4\/18 - 2*z**3\/45 - 20*z. Factor m(p).\nAnswer: 2*p*(p - 2)*(p + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 minutes before 5:33 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 381338369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 128.5. Which is the biggest value? (a) -2.3 (b) q (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - u. Let l = 34 + -32. Let p(v) = -2*v**2 + 2*v + 1. Let s be (-3)\/2*14\/(-7). Determine l*p(c) + s*h(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -50135477*g**2 - 4. Let u(o) = 2*o**2. What is b(u(d))?\nAnswer: -200541908*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-31 - (18 + -50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*h + 21 = 127*h - 24. Solve -2 + 0 = -h*f - x, x = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3162, 6534, 9896, 13242, 16566, 19862?\n\"Answer: -h**3 + h**2 + 3376*h - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1133.7752 - -960.38687. Let v = -173.5 - y. Let w = v - -0.111. What is w rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 98562520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/(-99) + (-146)\/18 and -55\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -335076104 less than or equal to -335076103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8350.5 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 841*m - 94*m + 2*m**2 - 1 + 490*m - 805*m as w*m**2 + t*m + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 766.377 and 6.2.\nAnswer: 4751.5374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36106779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 3*c**2 + 3*c. Let a(w) = 8*w + 39. Let q be a(-5). Let i(r) = 2*r**2 + 2. Let o be i(q). Give f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let i = 3 + d. Let z be -1*(1 - i)*-2. Put 2, 0, z in descending order.\nAnswer: 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**8\/168 + 8*y**7\/105 - y**6\/60 - 4*y**5\/15 + 2*y**2 - 31*y. Solve h(j) = 0 for j.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.3 + 12. Let u = 0.6 - 0.1. Which is the second smallest value? (a) 0.1 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 107 = -5*p, p - z = 4*p - 53. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/77*40\/(-4). Let a = 106277097\/34732390 - 13\/90214. Let n = a - c. Calculate the common denominator of n and 7\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 2065.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*q - 24 = 317*q + 99 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28868 - -0.5.\nAnswer: -28867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpo when three letters picked without replacement from {p: 3, h: 2, l: 6, o: 3, r: 1}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v. Let u = v + 2. Suppose 0*r - u*k - 32 = -4*r, r = 4*k + 15. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4*w**2 + 4080976*d**4 + 1342*w**2 + 303*w + 2 wrt d.\nAnswer: 8*d**3*w**2 + 16323904*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 1059 = j - 4*s + 1063, -3*s + 3 = -3765*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.6 + 4.5. Let q = x + 8. Let r = 0.35 + 0.05. Sort q, r, 6 in descending order.\nAnswer: 6, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1 + (3 - (12 - 7))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72a + -3?\nAnswer: -72d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*30\/12*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-3\/19))*p**32)\/(p**(-2\/9)\/p**(-2\/19)) assuming p is positive.\nAnswer: p**(5519\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69483)\/(-12) - -6 - 4\/(-112)*-7. What is the greatest common divisor of 345 and w?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + c - 1. Let r = -25 + 36. Let w = 11 - r. Calculate t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465 > -360.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Let d be w(3). Suppose 0 = 3*b + 5 + 1, 4*q = -4*b. Let y be (-2 - 2)*(-1 - 1). Solve -2 = 5*h - y*h + q*u, -d*u = 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4)\/(-19 + (15 - 2)) + (-70)\/(-195)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9658 + 9643.026. Let b = -24 - -39. Let x = b + t. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 168515 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16910, -16911, -16912, -16913, -16914?\nAnswer: -16915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s**(-2)*s)\/s)*s)**(-8\/7) assuming s is positive.\nAnswer: s**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**3 + 8*y**3 - 848413*y**2 + 848378*y**2.\nAnswer: 13*y**3 - 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111001010010000110110 (base 2) to base 12\nAnswer: 766306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, -14.5, -179 in decreasing order.\nAnswer: -14.5, -179, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1 - 7)*(-2 + 19). Solve -14 + z = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23812.9 + 23813. Let v be (4\/(-13))\/((-2)\/3). What is the closest to l in v, 2, 2\/19, 2\/15?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + 11. Let b(s) = 9*s + 21. Let n(c) = 6*b(c) - 11*j(c). Let p be n(5). Let h = -324 + 325. Sort 4, 5, h, p in descending order.\nAnswer: 5, 4, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoz when three letters picked without replacement from oooeozzzzo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.1 (c) 8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/5962 and -25\/79132.\nAnswer: 870452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 greater than -72\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (-7 + 92 - -5). Calculate the remainder when (-75)\/(-90) + 4\/(y\/(-1660)) is divided by (5 + 0)\/((-1)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8475 * -0.186.\nAnswer: 1576.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 2. Let z(d) = -1. Suppose -19*v = -7*v + 4224. Let x = 355 + v. What is x*k(y) + 6*z(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -3*k**5\/5 + 3*k**4\/4 + 6*k**3 - 70. Solve x(r) = 0 for r.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 6681.\nAnswer: 5\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -110. What is the closest to q in 5, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(114) + -3*sqrt(114)*2))\/(sqrt(36)\/(sqrt(96)*-2)))**2.\nAnswer: 760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:10 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -321*a*g + 7*a*j + 2*g**4 + 3*g*j + 344*j + 2 wrt g.\nAnswer: -321*a + 8*g**3 + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-693)\/22)\/(-21))\/((-135)\/126).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1545, 1024, 189, -930, -2303?\n\"Answer: 5*r**3 - 187*r**2 + 5*r + 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let q(x) = 117*x. Suppose 32*t + 15 = 17*t. Let c(r) = -2*r. Let y(v) = t*q(v) - 52*c(v). Determine y(z(b)).\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**4 + 12*u**3 - 18*u**2 - 66*u - 66. Let t(x) = -x**2 - x - 1. Let n(l) = -c(l) + 18*t(l). Factor n(v).\nAnswer: -3*(v - 2)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**8\/x))**(-4))**(-38) assuming x is positive.\nAnswer: x**(-912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-363))\/(4\/(-22)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 6*g**2 - 7*g + 2. Let c(a) = 17*a**2 - 18*a + 17*a**3 + 6 + 26*a**3 - 4*a - 34*a**3 + 2*a. Calculate 6*c(p) - 17*t(p).\nAnswer: 3*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 32 - 4*h**4 + h + 33 + 6*h - 2*h**3 + 2*h as w*h**4 + o*h + s*h**3 + x*h**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 726, 1472, 2220, 2970, 3722?\nAnswer: 4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82135 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*j. Let p be (4 + -2)*(-3 - (-27)\/6). Suppose 25*d - 84 = -p*d. Solve j = -d*o + 3 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-3 - -5)*3. Suppose -4*z = -0*z + g - 21, -n*g = -25. Suppose -41 = -z*v - 681. Round v to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/5 (b) -1\/10 (c) -865\/4 (d) 3\/2 (e) 1 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -403\/41007 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369695, 369623, 369457, 369149, 368651?\nAnswer: 367915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 827955827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 8) in base 2?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48460, -48021, -47582?\n\"Answer: 439*j - 48899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvll when four letters picked without replacement from vkllvkkkvlkvlvvvlll.\nAnswer: 49\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**3 + 31835 + 121*u**3 + 49*u**3 + 31846 - 14*u**3 - 63681.\nAnswer: 139*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 4*z. Suppose z = l - n - 11, -5*n + 4 = 4*l - 4. Suppose l*s - 10*s + 60 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13c8 (base 13) to base 7\nAnswer: -11235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3764 (b) -2 (c) 2\/5 (d) -1 (e) 3 (f) -72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*v**3*y + 2*v**3 + 2*v**2 + v*y - 7*v wrt v.\nAnswer: -384*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -457*87\/6*-2. Suppose 12*a - 23191 = k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 828 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 0.5.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 61 (c) -5 (d) 2\/19 (e) 12.92 (f) 3\/5 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*m + 17*m + 160*m + 10417 = -3303 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8487 - -291?\nAnswer: -81a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24431673 + -19301014679\/790. Let o = q + 162\/79. What is the common denominator of o and (23\/3)\/(3\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/184505 and 63\/190.\nAnswer: 7011190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1083580109 or -1\/4?\nAnswer: -1083580109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 14*u + 1. Let r be (-4)\/(-3)*(-21)\/2. Let i be k(r). Factor -i + 3*s - 5\/4*s**2.\nAnswer: -(s - 2)*(5*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/1641, 0, 0.1, -0.1, 22, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961*r**2 - 4335*r**2 - 16950*r**2.\nAnswer: -22246*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/9 + 56*q**2 + 1730*q\/3 + 13100\/9 = 0?\nAnswer: -5, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 10\/3 + 34\/60. What is the closest to 1 in y, -2\/3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/10 and 43\/1877190.\nAnswer: 1877190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18369\/(-156))\/((-3)\/190) + (-2)\/(-4). Calculate the greatest common divisor of z and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -16, -2, -2\/3, 0.3, 0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 4:37 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -486900, 2 in increasing order.\nAnswer: -486900, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -12\/25*q**5 + 0*q**2 - 127 + 0*q**3 - 1\/10*q**6 + 0*q - 9\/20*q**4. Factor t(h).\nAnswer: -3*h**3*(h + 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 17.1. What is the closest to -3\/11 in 0.5, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-38775)\/110)\/47)\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 4. Let k be h(-12). Suppose 0 = -c - 2 + k. What is the third derivative of -2*j**3 + 41*j**2 - 37*j**2 + c*j**3 wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let p = 10 + -13. Is p greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1035)\/1380)\/((-2)\/(-4)))\/(-15).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19943 - 19832. Calculate the greatest common divisor of 629 and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 1:04 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101 (base 2) to base 3.\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from mamnaamrrmrmrranarr.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11060320 by 8.\nAnswer: 1382540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -883\/460 - 26\/23. Let k = 14\/5 + d. Let h = 7 + -6.9. Which is the nearest to h? (a) k (b) -3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 16*y - 29, 0*j - 2*y - 162 = -3*j + 2*y - 197 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0, 2, 11, -1 in descending order.\nAnswer: 11, 2, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4734 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1605 = 7*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6573.773 millimeters in micrometers?\nAnswer: 6573773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Suppose 4*b - 8 - 8 = 0. Let x(j) = -7 - 2*j + 3 + b. Determine x(s(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 3)\/(7\/(-77)). Let t(j) = j**2 + 2*j - 1. Let d(b) = 3*b**2 + 7*b - 8. Let p(o) = o**2 + 2*o + 2. Let g(l) = d(l) + 2*p(l). Give r*t(z) + 2*g(z).\nAnswer: -z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14\/9)*o)\/(o\/o**(-2\/13)))**6 assuming o is positive.\nAnswer: o**(-400\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4\/7 + 413780*y**3\/7 + 10698177996*y**2\/7 - 139141284948*y\/7 + 128442693168\/7 = 0. What is y?\nAnswer: -51729, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4788*t - 4631*t + 628 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by (-2 - -20)*(-4)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 4*h**2 - 10. Let l(s) = -176*s**3 - 414*s**2 + 660*s + 1730. Let c(g) = 35*i(g) - 5*l(g). Factor c(n).\nAnswer: 5*(n - 2)*(13*n + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3) - 4\/(-12). Let m = 3 + -3. Suppose 7*a = 11*a + 8. Put a, m, t in ascending order.\nAnswer: a, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -34, -132, -322, -634?\n\"Answer: -5*l**3 - l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 26*o = 84 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1199*v + 15202691 - 15202691 + (7 - 3 - 2)*(4 - 2*v - 4).\nAnswer: 1195*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + 146. What are the prime factors of a?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 906 + 1662. List the prime factors of c.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 70850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 963 by -11.\nAnswer: -963\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1641 + -1125. Let j = 515.99709 - p. What is j rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - s = -6*s - 35, -2*r - 5*s - 10 = 0. Solve r*v = 3*j + 7, 13 = -5*j - v - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1\/577 (c) 2\/3 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -32*w. Let i(f) be the second derivative of 58*f + 1\/12*f**4 + 0 + 0*f**2 + 0*f**3. Determine j(i(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 543, 2102, 4709, 8370, 13091, 18878, 25737, 33674?\n\"Answer: b**3 + 518*b**2 - 2*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times -162?\nAnswer: 5670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a - 182a2?\nAnswer: -18380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -10. Suppose u - 171*b + 172*b = 3, -5*u + 4*b - 12 = 0. Sort v, u, 1 in increasing order.\nAnswer: v, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5\/4)*c**6*c)\/(c\/(c\/(c\/((c\/(c*c**(2\/3)))\/c))*c)*c**(6\/7)))**18)**(6\/19) assuming c is positive.\nAnswer: c**(2439\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(3 - 2*m - 3)*(-2 - 10 + 11 - 6*m).\nAnswer: -12*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 180773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 4*f + 3. Let r = -20 + 48. Suppose 2*q + r = 5*o - 0*q, q = 3*o - 17. Suppose -5*h + 4*l - 7 = 0, 5*l + 10 = -4*h + o*l. Determine a(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from knnnkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19873 and 136.\nAnswer: 158984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w + 2 - 2)*(-w**2 + 4*w**3 + w**2) + 283 + 14*w**4 - 283 to the form x*w**3 + y + s*w**2 + t*w + g*w**4 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bslsnll. Give prob of picking 1 l and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p + 2. Let x be r(-2). Let h = 761 - 757. Suppose 5*c + x = 4*z - h, -5*c - 4*z + 26 = 0. Solve 2*v - c*g - 3 = -9, 4*v - 3*g + 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u**5\/5 + 52*u**4\/5 + 56*u**3\/5 - 32*u**2\/5 - 64*u\/5 - 4 = 0. What is u?\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 n when four letters picked without replacement from {n: 2, g: 2, x: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.34 + -3.44. Let z = 1.4 + b. Let h = 3.1 + z. Which is bigger: 0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15132.051 from 0.47503.\nAnswer: -15131.57597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.4 - 2.4. Let f = -7 - y. Let t = f - -19. What is the smallest value in -0.03, t, -4\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 190 = -19*c. Let x(j) be the third derivative of j**4\/12 + 7*j**3\/6 + 2*j**2. Let g be x(-5). Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*q - 3*q - 66*q)*(-8 + 76*q + 88*q - 154*q) to j + d*q**2 + w*q and give w.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 16. Suppose -25 = -3*l + k. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 9:57 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 357 + 87 = 0. Suppose -h - 15 = 20. Let d = c + h. Solve -w + 4*g = w - 10, 5*w = -d*g + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292636 is divided by 73153?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 16*w**2 + 15*w - 1. Let q be l(-15). Sort 7, 3, q in descending order.\nAnswer: 7, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*i = 457*i + 3*o - 105, -i - 3*o = -109 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 2390 + 74 = 58*j. Calculate the remainder when 1226 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263517?\nAnswer: 3, 17, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -851 divided by -1?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818186.\nAnswer: 2, 577, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*i - 3*i + 5*i)*(0 - 2 + 3) + 2*i - 4*i + i)*(-5*i + 2*i + 0*i) in the form d + v*i + r*i**2 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.154872397.\nAnswer: 0.774361985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 5.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 72 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.52 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 2542268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*i + 3*b, 2*i - 2*b + 2 = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1026904419 divided by -1743471.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 459 - 458. Let k = -0.41 - -0.01. Let g = -0.3 - k. What is the second biggest value in s, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c - 11*c**2 - 32*c**2 + 40*c**2 to the form k + i*c**2 + m*c and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(21\/(-7)) + (-2 - -1). Factor 103 + 28*b - 8*b**h - 4*b**3 - 59 - 60.\nAnswer: -4*(b - 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/6 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 725575.59us in hours?\nAnswer: 0.000201548775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - 7*p**5\/30 - p**4\/6 - p**3\/3 + p**2 + p. Is n(-14) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-15)\/90)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - -4) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*z + 15, 3*o - 3 = -4*z + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gflffvlfgv. Give prob of sequence flgf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -307*n - 12. Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -1 (c) -114 (d) 0.5 (e) -5 (f) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3609 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*x - 11, -3*a + x = a - 13. Suppose a*w = -6 + 21. Suppose 6*p + 3*t - 5 = 2*p, 2*p + 15 = -w*t. Sort -1, 4, p in ascending order.\nAnswer: -1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 13*x**2 - 38*x - 12. Give a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35))\/sqrt(7) + (5*sqrt(50))\/sqrt(10).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 + 23 - 28)*(-21 + 2 - z - 2).\nAnswer: -46*z - 966","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 94 = -4*p. Let s = p - 34. Let a(y) = 3*y**2 - 3*y - 3. Let w(h) = 2*h**2 + h - 1. Let n(q) = -a(q) + 2*w(q). Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*b + b + 9, -5*t + 4*b = 18. Let h(s) = -s**3 - 8*s**2 - 11*s + 16. What is the remainder when 29 is divided by h(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3650 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -4, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/19, 1\/2.\nAnswer: -2\/19, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -41*-0.31\nAnswer: 12.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.3 (c) 0.09 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + 4*v)*(3 - 2 + 3) + 22*v - 4*v - 11*v)*(-v - 3*v + 3*v) in the form g + a*v + u*v**2 and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -586, -2524, -5750, -10258, -16042, -23096, -31414, -40990?\n\"Answer: z**3 - 650*z**2 + 5*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 898 - 71*n**3 + 2*n - 1796 + 907 + 3*n**2 to p*n + q*n**3 + m*n**2 + l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let z be p\/(3\/3879*3). Let b = z + -304. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/70*4 - (-1612)\/(-728). Sort 15, 19, -5, 3\/8, a in ascending order.\nAnswer: -5, a, 3\/8, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 29404022 and 147020116\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3237 and 25\/8.\nAnswer: 25896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 2*z**2 - 6*z + 6. Let f be x(-6). Let w = f - 95. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w + 0*w - 4*w)*(0*w**2 + 11*w**2 - 4*w**2)*(180 - 92 - 87 - 9*w) - 2*w**4 + w**4 + 5*w**4 as z + o*w**3 + a*w**2 + i*w**4 + l*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.6 + -7.6000433. What is v 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 lth term of -1310070, -1310061, -1310052, -1310043, -1310034, -1310025?\n\"Answer: 9*l - 1310079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*((6*v - 2*v - 2*v)*(2*v**4 - 2*v**4 + v**4) + 5*v**5 - 4*v**5 + v**5 + (10*v - 14*v + 5*v)*(-v**4 + 2 - 2)).\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 1000. Let x = 3 + -3. Let j be s(x). What is j rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*-22)\/4)\/(((-24)\/(-117))\/((-96)\/(-624)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -46*p**2\/17 + 488*p\/17 - 280\/17 = 0.\nAnswer: 14\/23, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -8*v. Let t be (v + 2 - 1)*2. Suppose -i = -t*i. Solve i*n = -n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1807785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 11 = y, -3*o + 27 = 3*y + 2*y. Suppose -2*f - 2*q - 7 = q, -3*q = -5*f + 14. Solve -h = f - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(245\/(-120)) + 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 1 - 8 + 2.\nAnswer: -n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*o**3 - 28*o**2 - 184*o + 160.\nAnswer: 4*(o - 1)*(o + 2)*(13*o - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974064.\nAnswer: 2, 3, 7, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (485\/(-291))\/((-10)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - -16c?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -25239374096111?\nAnswer: 25239374096109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 9. Let c be (-10)\/((2\/(-3))\/1). Suppose -24 = 11*w - c*w. What is s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/1785*25\/8?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1374 = n - 4*i, -4*n = n + i - 6975. Let o = -2814 + n. What is o rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/(1\/(-2)). Suppose d*y - 1 = 35. Let k = -9 + y. Solve 0 = -5*w - k - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*y = 17, m + 13 = -21*y + 18*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/4, -0.1, -11\/3, -4, 5\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15*(4 - 1). Let j be (6 + -6)\/(1\/k). Let h be (-2 - (-1 - 11)) + j. Solve -a - h = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*1 - sqrt(176))**2*-4 - sqrt(176) - (4 + sqrt(176)*-1) - (-5 + -3*sqrt(11) + sqrt(704) + 4)**2.\nAnswer: -280 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -113?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-d**2 - 2*d + 2*d)*(4 - 4 - 6*d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) -0.5 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 451*v - 1093. Determine h(-157).\nAnswer: 2047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 3. Let m be n(0). Let o = m + -4. Let d be o\/1*1*-1. What is the closest to -1 in d, 1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600) + sqrt(600)*3 - sqrt(600))\/(2*sqrt(288))*-4.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**4 - 5*m + 0*m - 3*m**2 + 5*m wrt m?\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9617 is divided by 1922.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 9) to base 10\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((sqrt(18) - sqrt(144)\/sqrt(32)) + sqrt(72)*-6)\/(-2*sqrt(216)) + -3.\nAnswer: -115*sqrt(3)\/24 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180980, 180977, 180974, 180971, 180968?\nAnswer: 180965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 224, 3, -2, -1 in ascending order.\nAnswer: -5, -2, -1, 2, 3, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*g - 30 = 186*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*m + 1, 115*m = c + 117*m + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 2. Let v(s) = 2*s + 2. Let g(c) = 6*j(c) - 4*v(c). Let i(x) = 0 - 1 + 0. What is g(f) + 6*i(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(2 - (-2)\/6). Let l = 5 - u. What are the prime factors of (1*-7 - -1)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-12\/19)*u)\/u**(-9\/5))\/(u**(-35))**(-3\/19) assuming u is positive.\nAnswer: u**(-224\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqoyhqoqbhhheheoooy. Give prob of sequence hyh.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/9 + 248*a**2\/9 - 706*a\/9 - 2420\/9 = 0.\nAnswer: -2, 5, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 10. Let m be z(-9). Suppose -5*k + 123 = m. Suppose 4*u - k + 23 = 0. Which is bigger: u or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10325 or -10363?\nAnswer: -10363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**4\/3 - 13625*i**3\/3 - 307730*i**2 + 2009520*i = 0 for i.\nAnswer: -72, 0, 6, 2791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 29. Let z(h) = 3*h - 29. Let w(a) = -5*s(a) + 4*z(a). What are the prime factors of w(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 29*y - 11. Let m(a) = -a**2 - 28*a + 16. Determine 2*m(b) + 3*q(b).\nAnswer: -2*b**2 + 31*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448210662 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) + -2 + 269\/1. Let t be (-1)\/(5 + (-1320)\/b). Let l = t - -77. Solve 4*a + 4 = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 2013115?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7511197*u - 7511209*u + 15022395*u. Let f(a) = -2*a + 2*a - 16*a**2. Determine f(t(r)).\nAnswer: -1936*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, -9704, -5, 327 in descending order.\nAnswer: 327, 4, 2, -2, -5, -9704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -86505 + -1?\nAnswer: -86506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 666 (base 7) in base 15?\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -7. Suppose 0*n - 5*n = -5*k + 100, -5*k + 4 = -n. Suppose c - 7*z = -3*z - 10, -4*c = 5*z - 23. Sort q, c, n in decreasing order.\nAnswer: c, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97208 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022419252904 - 719.\nAnswer: -719.022419252904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 93298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -102210?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 5474 = 26*i. What are the prime factors of i?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*h + 1959 = -1611 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-67)\/(-2) + (-3)\/(-6). Let w = s - 30. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49965, -199754, -449379, -798840, -1248137, -1797270?\nAnswer: -2446239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 + j. Let a(c) = 19*c**3 - 4*c**2 + 10*c + 2. Let f(p) = -a(p) + 4*b(p). What is the tens digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210955*v**3 - 2*v**2 + 61923*v + 1.\nAnswer: -1265730*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 48 = -2*j. Solve 5*u - 12 = j*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73*t**2*w + 5*t**2*y + 2*t**2 + 7821*t*w**2*y - 2*t*w*y - 2*t - 65*y - 10 wrt w?\nAnswer: -73*t**2 + 15642*t*w*y - 2*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.78 - -0.22. Let i = l + -14.4. Let s = 19 - 115\/6. Which is the smallest value? (a) 3 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -47, -97, -165, -251, -355?\n\"Answer: -9*r**2 - 5*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -33 + 11 + (1 - -1 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -47012*h + 3996004. Calculate b(85).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124715210 divided by 1.\nAnswer: -124715210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 56 = -21. Suppose -m*p = 4*p - 44. Solve -p*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 7*w + 3. Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c + 2c26a9?\nAnswer: 2c2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2) + -3 + 4.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 9) to base 6\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 370182991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 13828*w + 1 - 3 + 3.\nAnswer: -13828*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2 + 4 + -2. Let k = 0.21 + 8.79. Let r be -4*(1 + 51\/(-54)). Which is the nearest to -2\/3? (a) r (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.5 + -42. Let m = 0.3571 + 1.2429. Which is the fourth smallest value? (a) 0 (b) m (c) 3\/8 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 11. Let t(i) = i**3 + 8*i**2 + 5*i. What is the units digit of t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (34 - (4 + 16)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41 and 59\/973.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 4*q)*(2*q**2 - 3 + 3) + (-2*q + 3 - 3)*(-3*q**2 + 0*q**2 + q**2) - 22*q**3 - 20*q**3 + 50*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 1954*c**2 + 1962*c**2 - 53.\nAnswer: 8*c**2 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -6673164747645.\nAnswer: -6673164747633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1215695 is divided by 496.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31401500 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 9. Suppose 5*u + 26 = w*u - 2*x, 0 = -2*x + 10. Let b = -16 - u. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooogg. What is prob of picking 1 g and 1 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510 + -305. Suppose j + j = -5*s + 512, 0 = 2*s + j - q. Suppose -5*a + 320 = -5*b, -2*b + s = 4*a - 136. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.7 + 3.8. Let o = 0.2 - 0.1. Let v = o - y. What is the nearest to -1\/4 in v, 3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -4. Let m = -9.5 + 9.8. What is the nearest to -1 in m, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 44*g**2 - 43*g + 668. Determine z(44).\nAnswer: -1224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-108)\/16)\/(6\/(-16)). Let l = 6 - a. Let v(o) = 9*o - 9. Let t(r) be the first derivative of -11*r**2 + 22*r - 34. Give l*v(j) - 5*t(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**4*j - 2*c**4 + c**3*j - c**2 + 2*c*j - 4*c wrt c.\nAnswer: -72*c*j - 48*c + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-5))**40 assuming q is positive.\nAnswer: q**(-400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**4 + 19*q**4 + 0*q**4)*(0 - 4 - 1 + 7 + 448*q).\nAnswer: 5824*q**5 + 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttmtmmpmttm. What is prob of picking 4 t?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001415 rounded to six decimal places?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 8.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 140 = -10*u. Let j be 5\/2 - 1 - 182\/u. Let g(h) = -17*h - 33. What is the remainder when 155 is divided by g(j)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 195*(-1 + (-24)\/(-15)). Suppose 3*l + 246 = -b - p, 4*l + 474 = 2*b. Let m = 25 - l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62\/6207, -5, 3.5?\nAnswer: -62\/6207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4478550 by -3.\nAnswer: 1492850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 36. Suppose -9 - v = -3*h. Let z(s) = -5*s**3 + 4*s**2 + 4*s. Let n(m) = -6*m**3 + 5*m**2 + 5*m. What is h*n(o) - 7*z(o)?\nAnswer: -o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (48\/15)\/((-2)\/(-5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -601550 by 3.\nAnswer: -601550\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 1\/3, 5, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b (base 14) to base 7.\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 7. Let b(v) = v - 9*v - 3*v + 11. What is -5*b(d) - 8*c(d)?\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose -u*b - o = -7*b + 164, 0 = 3*o + 15. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -129*p**2 + 30. Let m(s) = 2*s. What is m(l(y))?\nAnswer: -258*y**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-8)\/(-72)). Let c = j + -1. Let s = c + 83. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 40*u**2 - 27646*u + 27646*u. Let y(h) = 11*h. Determine y(n(q)).\nAnswer: 440*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 16*c + 17. Determine m(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 - 36*x**3 - 12*x**2 + 116*x - 72 = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 35 = 57*c - 5*r, -2*r = c - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.02 (c) -1\/4 (d) 5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12 - 4 - 10*f - 1. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16207620 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -601 + 612. Solve -29 = -4*p + 5*g, -4*p + 0*p - 3*g - y = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 12270?\nAnswer: 98160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47*-3201\nAnswer: 150447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -77*k - 92. Let l(s) = 229*s + 257. What is -4*l(f) - 11*o(f)?\nAnswer: -69*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20098768 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.96 + -0.04. Suppose 39 = -2*w + 435. Let r be (-2)\/(-9) + (-26)\/w. What is the closest to y in r, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -55\/2*o**2 + 0 + 20\/3*o**4 - 132*o - 1\/6*o**3. Differentiate l(i) wrt i.\nAnswer: 160*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -309, -425, -563, -729, -929, -1169?\n\"Answer: -r**3 - 2*r**2 - 87*r - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*a - u, 3*a - 3*u + 7 = 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -180839 (base 15) to base 11\nAnswer: -727229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 561, 4500, 15161, 35892, 70041, 120956, 191985, 286476?\n\"Answer: 558*i**3 + 13*i**2 - 6*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3599883.\nAnswer: 3, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 18.1. Let s = -15.0046 + z. What is s rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145863.549 - 145926. Let t = h - -62. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-24)*(-70272)\/19764?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.078, 7, -4, 1\/2, 11, -1\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)\/(5 - 6). Suppose 3*y - 10 = -o. Let u(m) = m**2 - 4*m - 1. Let k be u(y). Which is smaller: -11\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -53*w - 1. Let x(f) = -9*f. Let z(n) = 5*p(n) - 30*x(n). Let i(a) = 2*a - 3. Determine -5*i(v) + 3*z(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:08 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -12. Let c be ((-8)\/y)\/(4 - 3). Let a(t) be the second derivative of t**5\/20 - 5*t**4\/12 + t**3\/3 + 5*t**2\/2 + t. Calculate a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32854.09 - -32987. Let i = 3.09 + q. Let y = -136.0000142 + i. What is y rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 109916 = -3*t + 4*h, -t - 3*h = -18290. List the prime factors of t.\nAnswer: 2, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 1 f when three letters picked without replacement from {f: 1, r: 6, d: 6, l: 1, v: 3}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from rarraraaarrr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5 - 4 - 6*t + 29 + 2*t + 17*t - t**2. Determine h(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 1689875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 = 2*l, 5*l - 2*l - 12 = -3*r. Suppose 0*f + 4*t - 36 = -r*f, 3*f = 2*t + 78. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15bc + 1?\nAnswer: -15bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*n + 525 + 1275 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1792*g*x**3*z - 2*g*x**3 + 1824*g wrt z.\nAnswer: 1792*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/15 + -2 - -1. Let f = -0.5 - -0.5. Let d = 0.58 - -0.42. What is the closest to f in i, d, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2*j. Let m(q) = -q**2 - q - 1. Let s be 14\/21*(-3)\/2. Give s*n(c) - 2*m(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*p - 7 - 14, 2*p + 9 = h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96\/5 + -19. Let r be ((2 + 9\/(-5))*1)\/(595\/1190). Solve 2\/5 + z*l - r*l**2 - 1\/5*l**3 = 0 for l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + 77. Suppose -j - 1 = -5*w + 6, 0 = 2*w + 5*j - 19. Let a be 1\/(w\/28) + -1. What is the greatest common divisor of s and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24648593 is divided by 283317.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/63 + -3 + (-12)\/126?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 961 and -49.\nAnswer: -47089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3357*c**3 + 3033*c**3 - 6386*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 + 12*y - 27. Let t(j) = 13*j**2 + 20*j - 54. What is 3*t(l) - 5*v(l)?\nAnswer: 4*l**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 2, f: 2}. Give prob of picking 1 t and 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 11. Put g, -3, -1 in increasing order.\nAnswer: -3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -436 - -432. Let v = -23 + 4. Let p = v + 22. Which is the fourth smallest value? (a) -1 (b) p (c) l (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.03, -2\/5, -156, 0.05, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + m + 2 - 13*m + 13*m + (-1 + 1 - 1)*(5*m + 3*m**2 - 5*m) + 6*m**2 - 4*m**2 - 56*m**2 - m**2 - 2*m + 2*m in the form f + r*m**2 + l*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/16 + -13 + 18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a factor of 29736770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -71*g**2 + 5*g. Let x(d) be the third derivative of 47*d**5\/20 - 3*d**4\/8 - 3*d**2 + 3*d - 55. Give 9*n(q) + 5*x(q).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/329 and -13\/352.\nAnswer: 115808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 + 17*d - 4. Give a(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192 < 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14494672.\nAnswer: 2, 905917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2. Let c(k) = 5*k - 3. Suppose 3*f = 2*f + 4. Let r(l) = -6*l + 4. Let t(b) = f*c(b) + 3*r(b). What is i(t(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152514824 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 9. Let m = l + -3. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from {b: 2, m: 2, q: 2, d: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (1\/(2\/1155))\/(6\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*3\/630)\/(((-24)\/30)\/(-2))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 + 47*q**3 - 36*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/6, 93140, 331?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-12)\/28) + 10 + 4. Solve 2*v = -4*z + 5 - 9, v - z = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982451.8m in micrometers?\nAnswer: 982451800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55941593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -5122239.\nAnswer: -5122242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -4119\nAnswer: 20595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1696521266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 1\/6*f**3 + 0*f**2 + 0 - 2*f. Let k(r) = 4*r - 1. Suppose 5*b = v + 7, 1 = 5*b - 4. Determine v*k(a) + 7*m(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -0.33, 1.45, 1\/2, -3\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 11*w**6\/60 + 43*w**5\/20 + 2077*w**4\/8 + 5307*w**2. What is the second derivative of f(m) wrt m?\nAnswer: 132*m + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Let d(q) = -7*q - 4. What is -d(f) + 2*m(f)?\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -768555, -768556, -768557, -768558, -768559?\n\"Answer: -k - 768554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 0.07336 (b) 0.2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25\/150 + 370\/12 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20*l - 11. Let h(q) = 59*q + 33. Let u(w) = 8*c(w) + 3*h(w). Let x be ((-1311)\/38)\/23*8\/3. Let p(g) = 6*g + 4. What is x*u(k) + 11*p(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196.00111 + -196. Round j to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5))\/(f*f*f**(-5\/4)))\/((f\/((f*f**(-4))\/f))\/f**(-18)) assuming f is positive.\nAnswer: f**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -949\/61552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 9*s**3 + 0*s**3 + 4*s**3 - 4*s to the form c + u*s**2 + k*s**3 + y*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 2*g**2 - 3*g**2)*(-11311*g**2 + 326*g**2 - 1040*g**2) in the form c + o*g**4 + t*g**3 + h*g + n*g**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - 571\/(-3). Let f be y\/(-35) + (-15)\/(-35). Sort 16, f, 1\/3 in decreasing order.\nAnswer: 16, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*q**2*u**3 - 3*q**2*u - 54*q*u wrt u?\nAnswer: -714*q**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/2*0 + -1. Let l be (-65)\/75 - (-1 - 3\/(-9)). Do l and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64541479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3533 times 6\nAnswer: -21198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2599*j + 2550*j - 7778*j + 2568*j.\nAnswer: -61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:34 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11464960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, m: 2, q: 2, r: 1, b: 2}. Give prob of sequence mbk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -7 (b) 4.4 (c) -20 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 588 = -4*t - 0*v, 2*t + 5*v - 294 = 0. Let k = t - 88. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7750 - 42000 = 0. Let z = w + 3843. Let y = z + 30027\/10. Calculate the common denominator of y and 49\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - 0.02. Suppose 0 = -8*k + 82 - 250. Let q(t) = -4*t - 81. Let x be q(k). Which is the closest to 1? (a) x (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40795100 and 4324.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let t(w) = 111556*w**2 + 13*w + 43. Determine t(k(f)).\nAnswer: 446224*f**2 + 26*f + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 174*f**2 - 263*f + 62308 wrt f.\nAnswer: 348*f - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - z = -0*z - 6, 5*p = -5*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -92.235. Let o = -0.1286 + j. Let r = o + -0.1. Round r to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 - 3*w**2 + 2*w - 889. Let i(j) = -3*j**3 + 5*j**2 - 3*j + 891. Calculate -2*i(b) - 3*z(b).\nAnswer: -3*b**3 - b**2 + 885","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 5:14 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7396683 millennia in decades?\nAnswer: 73.96683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1856)\/(-85376)*7\/((-14)\/12)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*u + 5*u - 432, -3*x - 433 = -5*u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2)\/(2\/4). Let r = 7 + d. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1016 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 236, 645, 1248, 2045?\n\"Answer: 97*h**2 - 76*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*c - 121*c - 88*c.\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1403, -1396, -1385, -1370, -1351, -1328, -1301?\n\"Answer: 2*a**2 + a - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, o: 1, f: 1, y: 2}. What is prob of sequence tf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + 127*s - 144. Give u(31).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80150216.\nAnswer: 2, 23, 659, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Product of -11023 and -32681.\nAnswer: 360242663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -18. Let j(q) = -q - 36. Determine 2*j(t) - 5*n(t).\nAnswer: -2*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) -6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4606*l**2 - 37037*l.\nAnswer: 9212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185007510 by 270.\nAnswer: -685213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9060 + -9052. Let j(b) = -11*b**3 - b**2 + 7*b + 13. Let o(m) = -17*m**3 - 2*m**2 + 11*m + 20. Calculate a*j(s) - 5*o(s).\nAnswer: -3*s**3 + 2*s**2 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:54 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3194.5 + 3194. Let a = -533\/7 - -76. Sort -2, j, -0.03, a in descending order.\nAnswer: -0.03, a, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -26*y**3 - y**2. Let x(f) = 20*f**2 - 656*f + 1123. What is the least common multiple of x(31) and c(-1)?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 727\/104 - 1123711\/936. Which is greater: -1194 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 710*x**5 + x**4 - 18*x**3 + 11*x**2 + 49084*x?\nAnswer: 42600*x**2 + 24*x - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -386 times -4\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 40 + m - 7*m**2 - 12*m + m + 0*m**2.\nAnswer: -7*m**2 - 3*m - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/(18\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.46911 and 127.4.\nAnswer: 128.86911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*98.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 188, 353, 514, 671?\n\"Answer: -2*h**2 + 171*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 59\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 289, 282, 277, 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 12:28 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6aa0 - -6?\nAnswer: 6aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 7*f - 2*f. Let j(d) = 20*d + 26*d + 20*d + 10*d + 19*d - 94*d - 27. Calculate o(j(h)).\nAnswer: 2*h - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/2 - 38*j**3\/3 - j**2 - 33*j - 46. Let z be p(-19). Solve 8*a = 13*a - z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from xxxlxlxxll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3 + sqrt(432)*2 - ((sqrt(432) + -2 - sqrt(432)) + 0)) + (-2*sqrt(432)*-6 - sqrt(432) - ((1*sqrt(432) - sqrt(432)) + 0)))**2*-4.\nAnswer: -292129 - 6240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - -127?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 917.3986ng to milligrams.\nAnswer: 0.0009173986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157603 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 925776.\nAnswer: 1851552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 2*f + 32. What is the units digit of l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*x + 18. Let v be 466\/x + (-9)\/(-18). Suppose t = l + 6*t - v, 3*l + 2*t - 299 = 0. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8 - 3*z - 9 + 7*z. Let k be f(5). Suppose -8*c + 70 = -k*c. What is the greatest common divisor of 56 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 73940*r + 73941.\nAnswer: -(r - 1)*(r + 73941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2 - 16*d + 15. Let k = 97 + -96. Let s be o(k). Suppose 0 = 4*g - 12 + 4. Solve -g = m, 0*b + 2*b = -s*m - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-4))\/((-4)\/64) + 296 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4771992 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*q - 4149*q**6 + 3304*q**2 - 3084*q**2 - q wrt q.\nAnswer: -497880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let j(k) = -h*k - k + k. Let m(v) = v. Let c(f) = 2*f**2 + 13*f + 21. Let i be c(-6). Give i*m(a) + 4*j(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 171*x**2 + 676*x + 4196. Calculate h(175).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196*w + 1289*w = 1917195. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 71 = -0*y + 3*y, 4*r - 54 = -y. Suppose -3*s - 4*n = -s, -3*n = -5*s + r. Let w = 815 + -799. Solve s*t = 6*t + w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3787212 and -127\/36.\nAnswer: 11361636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 666118*q**4 + 76*q**3 - 22260399*q**2 wrt q?\nAnswer: 15986832*q + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2370)\/(-195) - (-2)\/(-13). Calculate the highest common divisor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -997844 divided by 4?\nAnswer: -249461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + 407 + 1. What is the first derivative of -1571*u**3 - c + 1563*u**3 - 11 + 3*u**2 wrt u?\nAnswer: -24*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12989 times 1.5\nAnswer: 0.194835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*c - 5*c - 156 = 0, 3*f - 117 = -4*c. What is the remainder when 271 is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 8 - 2*g**3 - 8.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10)*-3) - (sqrt(1331)*1)**2)*5.\nAnswer: -6655 - 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -61. Let h be 1066865\/191100 - 2\/x. Let l = h - 1\/2940. What is the common denominator of l and -61\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 1. Let w(q) = -8*q + 61. Let y be w(7). Solve 0 - c = -f + 3*i, 3*f - 5*i = -y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/13 - 788*r**2\/13 - 29102*r\/13 - 4236 = 0.\nAnswer: -353, -39, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011001111110 - -11111?\nAnswer: 100010011010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26707?\nAnswer: 17, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 28 - 100. Let g be 3\/18 + (-4)\/c. Solve g = 2*s - 3*b + 11 + 8, 0 = 4*s + 3*b - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -100.471?\nAnswer: -904.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39*(4 + 8 + -7). What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6076)\/(-2108))\/(36\/(-612))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 4*d - 3. Let z be c(-3). Suppose z = -3*t - 2*t - 465000. Round t to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*1\/3*1. Let w(y) be the third derivative of y**5\/20 + y**4\/12 + 2*y**3\/3 + y**2. Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857315 - -122685. What is q rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-26)\/16 - -2). Suppose 0 = -20*x + 13*x. Suppose -3*g - g + q = x. Solve -5*u = -20, -4*a - g = -4*u + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5894 + 6350. Calculate the lowest common multiple of a and 798.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37135 + 65. Suppose 6*q + 0*q + w = 0. Round q to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 - i**4 - 6731*i**3 - 115324*i**2?\nAnswer: 60*i**2 - 24*i - 40386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3585*f - 3580*f + o - 46, -4*f + 37 = o for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 9 + 27*p**2 + 306*p**2.\nAnswer: 333*p**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 14. Let c be 2\/3 + 10\/z. Let n be -2*(-1)\/c*-25. Calculate the greatest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149080 divided by -6?\nAnswer: -358180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*47.97\nAnswer: -47.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**3\/3 + 9*d - 4. Differentiate n(i) with respect to i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 134 = 2*l, -l - l = -3*n - 134. What is the remainder when l is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.52731 and -0.3.\nAnswer: -3.82731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**5\/7 - 34854*d**4\/7 + 40972020*d**3\/7 + 29114114124*d**2\/7 + 57360974154*d + 199747618518 = 0.\nAnswer: -479, -7, 3151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 96 = 4*d - d, -4*n + 3*d = 120. Let b = n + 27. Is -1\/6 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 1010*p + 6*p**3 - 65 + 1010*p to i + c*p**2 + g*p**3 + a*p and give i.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398 - -397. Let s be (1 - 6) + (p - -6). Let j = 25\/328 + 2\/41. Which is the third smallest value? (a) -9 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-6 - -3) + 43. Let v be (-4)\/10 - (-26)\/d. Factor 3\/4*y**3 + v*y**5 + 3\/4*y**4 + 0*y + 0 + 1\/4*y**2.\nAnswer: y**2*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 times 284\nAnswer: 61912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 415b (base 14) to base 8\nAnswer: 25765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (246\/574)\/((-1)\/(-70)). Suppose -4*k - 6 = 2*g + 8, 2*k = -10. Calculate the highest common factor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.31 + -0.31. Let j = -13 + x. Let o = -2\/47 - 174\/329. Which is the third smallest value? (a) o (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*f + 90*f**2 + 17*f**2 - 7*f wrt f.\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 4. Let u(n) = 4*n + 3. Determine -7*u(r) + 5*x(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 29. Suppose -4*t = -5*t + k. What is the smallest common multiple of t and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 29 = 5*z + 230, 3*d + 217 = -5*z. Let w = -38 - z. Let j be (-175)\/(-75) - 1\/w. Put -18, j, 4 in descending order.\nAnswer: 4, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/24 - 3)\/(37 - 216648\/5856)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34648, -34662, -34678, -34696, -34716, -34738?\n\"Answer: -d**2 - 11*d - 34636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3222062 micrometers in centimeters?\nAnswer: 0.00003222062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 190 + 196 = 0. Suppose 146 = -z*l + 104. Suppose -k - 11 = 3. Does k = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002698 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1. Let v(k) = -5*k + 7. Let m(f) = 3*h(f) + v(f). Calculate m(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87381300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/10, 10, -3\/5, 0.12?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110\/3 - -455\/12. Let j = 7 + -7.1. Let x = 2.07 + -0.07. What is the nearest to j in z, x, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*k - h = 0, -4*k = -3*h - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.456 + 2.256. Which is the closest to w? (a) 2\/17 (b) 4\/9 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r - 1044 = 105*r. What is the remainder when r is divided by 106?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 11*m + 11. Let q = 8 + 3. Let y = 14 - q. Let s(p) = -6 - y*p + 53*p**2 - 52*p**2 - 3*p. Calculate -6*a(n) - 11*s(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*u + 180*u + 43*u + 174*u.\nAnswer: 303*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/((-18)\/(-24)). Suppose -s = -2*a - 2, 2*s = -3*a - 3 + 14. Is 2 a factor of a\/((l + -1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 9*m**2 - m - 23. Determine p(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12688 + 12704. Calculate the highest common factor of l and 2248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77995 - -146337. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -5) + -3 + (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 338*p**6\/3 + 1382*p**3\/3 + 863. What is the third derivative of j(q) wrt q?\nAnswer: 40560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 2 - 7*v)*(-6 + 9 + 1)*(7 - 26 + 100).\nAnswer: -2268*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1abb2d - -5?\nAnswer: 1abb32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2863 or 238?\nAnswer: -2863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/21 and 37\/2619.\nAnswer: 18333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*y - 179*y - 42*y - 5152 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228769133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15943034 smaller than -15943016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70318438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.105 and -0.5.\nAnswer: -0.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 6*c = -72, -y + 32 = -6*y - 2*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 5. Let o = 7 + w. Let j be ((-8)\/60*-5)\/((-6)\/(-63)). Sort o, j, 0.3 in increasing order.\nAnswer: o, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -3861 (c) 1\/3 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-12)\/(-20))\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2159087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38591 and 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100021021222 (base 3) in base 13?\nAnswer: -6508a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5 + 17) - 64\/120. Which is the closest to 0.1? (a) -26 (b) -0.1 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 + 47*u**3\/2 + 360*u**2 + 1664*u - 2048.\nAnswer: (u - 1)*(u + 16)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*y**2 + 176*y**2 - 43*y**2 - 79*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(-19))\/(m\/(m*m**(7\/4))))\/((m*m\/(((m\/(m\/m**(8\/7)))\/m)\/m)*m)\/(m**28*m)) assuming m is positive.\nAnswer: m**(1369\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/3933 and 19\/5.\nAnswer: 19665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(243) - (sqrt(243) + 1)**2 - sqrt(243))*-3 - ((sqrt(243) + 1 + sqrt(243) + sqrt(243)*-1)**2 - sqrt(243))).\nAnswer: -488 - 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 562*m**2 + 54*m**2 - 64*m**2 - 27*m**2 + 570*m**2 to the form q*m + d + k*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 321, 647, 973, 1299, 1625?\n\"Answer: 326*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 123?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/66 and -53\/1086.\nAnswer: 11946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 905014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145007*b - 145234*b + 0*b**3 - 4*b**3 - 21*b**2 - 2 wrt b.\nAnswer: -24*b - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1983600 and -143\/144.\nAnswer: 1983600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 236*y**6\/15 - 708*y**2 + 1649*y. Differentiate v(d) wrt d.\nAnswer: 1888*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97999.83 litres in millilitres?\nAnswer: 97999830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -222, -435, -648, -861?\n\"Answer: -213*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 9*u - 12*u + 321, -3*u + 2*y + 311 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:14 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 57. What are the prime factors of (12\/o)\/((-4)\/72)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by (-1 - -76)*138\/230.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/6 + (-215892)\/4248 + 50?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4981975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047649 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let y(d) be the second derivative of -d**6\/720 + 5*d**4\/12 - 3*d. Let i(u) be the third derivative of y(u). Calculate o(i(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -17 + 4 + (-2 - 2) + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f = -5*o - 31, o = -3*f - 19. What is the remainder when 50 is divided by (o + 34)\/((-3)\/(-3))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195 - 194.88. Sort -13, c, 4.\nAnswer: -13, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28277*u**5*w + 5*u**4*w**3 - 4*u**2*w**3 - u*w**2 - 158*u - 102*w**2 wrt u.\nAnswer: 1696620*u**2*w + 120*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose a*h - 40 = -4*h. Let z be 16\/56 - h\/(-112). Sort z, 2\/11, -0.1 in decreasing order.\nAnswer: z, 2\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 12*u**3 + u**2 + 22*u**3 - 8*u**3 to the form d*u + s*u**3 + x*u**2 + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2696013, -2696044, -2696077, -2696112, -2696149, -2696188, -2696229?\n\"Answer: -p**2 - 28*p - 2695984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6428.493 millilitres to litres.\nAnswer: 6.428493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uey when three letters picked without replacement from meymymuuyymumm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:29 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**2 - 8240*g + 154755 = 0.\nAnswer: 19, 1629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 0.2, -0.01 in decreasing order.\nAnswer: 0.2, -0.01, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6897 = 55*a - 6402 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, -27, -3 in decreasing order.\nAnswer: 3, 1, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -411 + 0?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2 + 4 + -1 + -2 + sqrt(1053)) + 3)*1)**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fef when three letters picked without replacement from {f: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*r - 5, -1350*r = 3*v - 1352*r - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5 + 3. Let z be (-2*i)\/(-2 + 0). Let w = z - -6. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + g**3 + g**4 - 3*g + 110*g**2 - 108*g**2 in the form w + t*g**3 + b*g**4 + o*g + p*g**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -21. Let b be ((-24)\/u - 3)*2. Suppose 50 = 4*v - b. Solve 0*p + 5*p + v = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4661211 is divided by 4661191?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 202*p\/3 - 10201\/3.\nAnswer: -(p + 101)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyyyyyyoyy. What is prob of sequence yyo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 103*i**3 + 4*i**2 - 1177*i + 1173. Calculate z(1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:48 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*15\/(-20)*2. Suppose x + 2*o - 2 = 0, -2*x + g + 6 = 3*o. Let q be (2\/(-1))\/2*0. Solve 3*h = -q + x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-200500)\/272 - -1 - 14\/119. Let p = j + 20791\/28. Is 7 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 397 + 107 = 0. Find the third derivative of 4 + d*k**5 - 9*k**5 - 9*k**2 + 41*k**5 - 5*k**2 wrt k.\nAnswer: 4080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985733283 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + f - 12, -8*u = -3*u - 3*f - 20. Suppose 2*x + 4*o = 52, -u*x = -3*x - 5*o - 54. Calculate the highest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0484 * -5\nAnswer: -0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -874819, -1749646, -2624473, -3499300?\n\"Answer: -874827*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173316756 and 156788?\nAnswer: 8252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6701?\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x - 2*n, -5*n - 4 = 4*x - 2*x. Let p(v) = -v**x - v**3 + v**2 + 2*v + 3*v**2 - 4*v. Calculate p(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 66041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/(-112) + (-397)\/(-7). Is y not equal to 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.43 - 0.53. Let p = -22 + i. What is the second biggest value in -2, p, 2, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 907*u + 26188. Determine b(30).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - 1 + 1)*(-2*a**2 + 5*a + 11 - 9 - 3*a) to the form z*a**3 + n*a + t + s*a**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3 (c) -1\/4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = 5*a - 0, -3*j + 26 = -5*a. Let f be 5 + (a - 12\/(-4)). Sort f, 1, -1 in decreasing order.\nAnswer: f, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/7)\/(-6)*(-154)\/44. Let z(n) = -n - 6. Let s be z(-6). Suppose 6*y - 3*y - 4*c + 16 = s, 0 = 5*y + 4*c + 80. Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 8) in base 10?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 10\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -14*v - 4*y, 5*v + 282 - 253 = -2*y for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/594 and -49\/726.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 16, -2*u = w - 690. Suppose 4*f = -5*y + u, 0*f + 5*y = -f + 67. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*w + 64, 2*w - x - 4 = 4*x. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59837783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 25*b - 168*b**2 + 84*b**2 + 89*b**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 124, -10 in decreasing order.\nAnswer: 124, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 4506*h**3 + 8991*h**2 + 13500*h.\nAnswer: 3*h*(h - 1500)*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-1)*798\/63. Let j = o - -475. What are the prime factors of j?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -2*i - 8*j, j = 312*i - 314*i + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714 and 4794.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.78, 2\/15, 4 in decreasing order.\nAnswer: 4, 2\/15, -1.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -19. Sort 0, r, 1 in increasing order.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -33 - (8 + -1) - (1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11408 = -330*x + 1043*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w**2 - 6 + 6 + 0*w + 0*w + 2*w**2 + 2*w**2 + 0*w + 0*w + (-4*w - w + 3*w)*(-3 + 3 + w) - 5*w**2 + 3*w**2 + w**2 - 2*w**2 - w**2 - w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 2}. What is prob of sequence ott?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9516, 12078, 14640, 17202, 19764?\n\"Answer: 2562*w + 6954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 1. Let x be m(1). Suppose 5*u + 19 = 49. Suppose -u*h = -3*h + x. Is -1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5704079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/35 + 8)*(12 + 3 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409024?\nAnswer: 2, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-20))\/(4\/(-20)). Suppose 2*x + x = -6, -4*v + b*x + 72 = 0. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 7. What is q(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 5*r. Let o be h(-3). Suppose 0 = -o*d + 4*d + 3*v, -4*d = -5*v - 2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r + 6. Let f(t) = t**3 - 12*t**2 - t + 2. Let i be f(12). Let s be n(i). Find the common denominator of 11\/7 and s*8\/(-44) - -2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (3 - 3) - 42. Let b = -44 - q. Suppose -m = -i + 2, -i - b*i + 9 = -4*m. Let r(a) = -11*a**2 + 1. What is r(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0)\/((-6)\/3). Let u = -1 + 1.5. What is the closest to z in u, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:45 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 189 = -16*n - 4*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 194134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose -j*v - 5 = -5*i, 0 = -i + 5*v - v - 8. Solve 1 = -3*g + i*k - 2, 0 = 5*g + 2*k + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2. Let p be l(2). Suppose p = -3*c - 5*w + 18, -3 = 2*w - 3*w. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 6390*c + 6395 = 0. What is c?\nAnswer: -1, 1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -11 - (8 + -2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1463*y - 1509*y + 644 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(5 + 3*sqrt(208)).\nAnswer: -216*sqrt(13) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s**3 + 19*s - 19*s.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 301 + -10536\/35. Let r = m - 32\/105. Suppose -i - 2 = -4. What is the nearest to i in r, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10)*6)\/((-6)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620974107 divided by 169?\nAnswer: -3674403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116437930 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 575610261 and -0.6153.\nAnswer: 575610260.3847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenennneewennenejyen. What is prob of picking 1 n and 1 w?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**4 - 60*j**3 - 354*j**2 - 540*j - 243 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -21. Let h = 16.2 - i. Let d = 0.9 + -1. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112563911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3360 + -3060. What is the nearest to 0.1 in x, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Let f(r) be the first derivative of r**4\/4 - r**3\/3 - 3*r**2\/2 + 3*r - 7. List the prime factors of f(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 6462767.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079031 to 3 dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.05 - -31.6. Let q = h + 0.45. Which is the biggest value? (a) 2\/23 (b) 0 (c) q (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 plus 148563035507?\nAnswer: 148563035582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(4\/3)*c))\/c**4)\/(c*c\/(c*c*c**2)*c**0\/c) assuming c is positive.\nAnswer: c**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (11086\/22172)\/(3\/(-4)*-18)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3328029 to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 + -434. What is the remainder when y + 1 + 5 - -236 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*q - 5, -3*q = y + q + 4. Suppose y*r = -2*r. Suppose r = 3*l + 2*l - 20. What is the remainder when 17 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let d(q) = -4*q**2 - 2*q + 3. Let p(a) = -d(a) + 3*k(a). Let w be (2 + -1)\/1 - 2. Let l be p(w). Solve -1 = l*h - 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1502456 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006688652 rounded to 6 dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 36 = -3*d, 0*x + x - 3 = 0. Suppose -11*s + 6*s = -d. Solve -10 = 3*y - 4*u - 38, 3*u = -s*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 1705*g**6\/3 + 39*g**2\/2 + 17*g - 2435. Find the second derivative of t(w) wrt w.\nAnswer: 68200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56\/5 + 228*t + 164\/5*t**2.\nAnswer: 4*(t + 7)*(41*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478547 (base 9) in base 6?\nAnswer: 123424411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5385 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 565518551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -258 or -154309?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123168123 plus -8.49988?\nAnswer: 123168114.50012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/(-72)*((-1160)\/72 + (-3)\/(-27)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -1333, -3109, -5595, -8791, -12697?\nAnswer: -17313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48687940451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 + -10?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 416158 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 858 and 1560.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 18. Let q(c) = 12*c**3 + c**2. Let i be q(1). Suppose 0 = i*v - 8*v + 5. Put v, -2, k in descending order.\nAnswer: v, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785280.946 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.005\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 14*s**5\/13 + 23630*s**4\/13 - 50990*s**3\/13 - 490310*s**2\/13 - 354864*s\/13 + 4680 = 0.\nAnswer: -1690, -3, -1, 1\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from rxsmdbm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (5 + (-3 - 1 - 3) + 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from qwwnzzwwwwwz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0.1, 3, 2, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019373 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2 (c) 0.3 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmo when three letters picked without replacement from amomocmoaco.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 7*y**3\/6 + 13*y**2\/2 + 4*y - 9. Let c(b) be the first derivative of n(b). What is the first derivative of c(r) wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + 5*d**2 - d + 4. Let w be v(4). Let x = 2 + w. Let k = x - -73. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1672 by -8.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/4 + 4*h**3\/3 - h**2 - 2*h + 154. Determine a(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + b = 44, -5*q = -2*q + 5*b + 33. Round q to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145560 is divided by 327.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -13*i**6\/480 + 3*i**5\/80 + i**3 - i**2 + 35*i. Let z(r) be the first derivative of q(r). Find j such that z(j) = 0.\nAnswer: 0, 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1160961259 to 4 dps.\nAnswer: -0.1161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3621.3 - 0.029\nAnswer: 3621.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 14896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l - 4. Let z(u) = -6*u + 3. Let g(c) = -c**3 + 11*c**2 - 76*c + 340. Let d be g(7). What is d*z(a) + 3*n(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -893 - -897. Which is the nearest to -2\/13? (a) 3 (b) -0.63 (c) m (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, e: 2}. What is prob of sequence bbb?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.035 (b) -0.5 (c) -3 (d) 148 (e) 5 (f) -41.7 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let z(x) = x**2 + 3*x + 2. Let g be z(w). Solve -2*m = -2*o - g, -4*o + 6*o - 6 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = 3*g - 235, 5*g - 4*j = 421. Let f = g + -45. Suppose 17 = 5*y - 103. What is the greatest common divisor of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147182*3.\nAnswer: 441546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let f be 0 - (13 + -1 + d). Let y = 12306 + -12314. Is y < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 13, 24?\n\"Answer: 11*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 125, 89, -173 in decreasing order.\nAnswer: 125, 89, 4, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + i - 4*i - 3*i. Let r(a) = 6*a**2 - 5*a + 5. Let p(l) = -5*l**2 + 4*l - 4. Let z = -5 - -9. Let v(d) = z*r(d) + 5*p(d). What is v(u(x))?\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4 + 4585*s**3 + 1044210*s**2 - 3164800*s + 2116000 = 0.\nAnswer: -460, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2988 = -5*s - 53. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -3) + 744\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9860\/6902*1162\/4. What is the highest common divisor of z and 2241?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -198 + 771*y**2 - 105*y + 765*y**2 - 1539*y**2 = 0?\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/42)\/((-286)\/(-1001)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 2230*z**2 + 13087581*z\/2 - 6541560 = 0. Calculate z.\nAnswer: -6480, 1, 2019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/19 - 148*d**2 + 962624*d\/19 + 18249984\/19 = 0. What is d?\nAnswer: -18, 712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -9*z + 318 + 15 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 64264247 divided by -15\nAnswer: -64264247\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/1*(127 + -172)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389689 = i - 4*d, 4*d + 1948557 = 6*i - i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5010*d**2*y + 35*d**2 + 128*d*y**2 - d + 3252 with respect to y.\nAnswer: 5010*d**2 + 256*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*z = 23, -3*d - 2*z - z = 27. Which is the second smallest value? (a) 5\/2 (b) d (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w**2. Let h(p) = 3*p**2. Calculate h(f(d)).\nAnswer: 1083*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 251 + -148. Let b = m + -102.6. What is the nearest to 1\/3 in -5, b, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2408 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2004 + 0.1996. Which is the closest to 0.1? (a) -2\/19 (b) j (c) 2\/29 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 8*k - 2 + 10 + k**3 + k. Let d be b(6). Suppose -d*p + 0*p = -22. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k. Let a(d) be the first derivative of -d**3\/3 - 8*d + 11. Let o(n) be the first derivative of a(n). What is l(o(q))?\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56290100 + 28240100. What is a rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*t - 17. Let j = -2 + t. Suppose -2 = j*g + 2, -2*s + 326 = -4*g. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084 = -7*f - 776. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-378)*99\/(-30).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -173823 - -255?\nAnswer: -173579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/10)\/((-2)\/(-25)*65\/(-26))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*s**2*z - 477*d**3*s**2 - d**3*s - 243*d**2*s**2*z + 2*d**2*s + 2*s**2 with respect to z.\nAnswer: 2*d**3*s**2 - 243*d**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 14709814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 135360.251678?\nAnswer: -135363.251678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0017 - 230.0017. Let h = -228 - t. Put -1, 0.1, h in decreasing order.\nAnswer: h, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*t**4 - 1824*j**2*t**2 - 26*j**2*t + 33*t wrt t.\nAnswer: 12*j**2*t**2 - 3648*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5080 - -6435. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140335875 divided by 124743?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*k + 14842 = 0, -2*k = 5*l - 8*l + 22250. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n + 7. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142686874 by 1928201.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132465*0.03.\nAnswer: -3973.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16962, -68450, -154458, -274986, -430034, -619602, -843690?\n\"Answer: -17260*i**2 + 292*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8*-8829.06\nAnswer: 70632.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(165 - 269 - 141 - 435).\nAnswer: -1360*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909686889.\nAnswer: 3, 83, 89, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -7607.\nAnswer: -836.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367 + 626 + 3974*t**2 - 993.\nAnswer: 3974*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 6*u + 191 - 4*u - 8*u.\nAnswer: -5*u + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - h - 37 = 6*m, 0 = m + 2*h + 17. Let x = 6241\/3 + -2100. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, x: 4, j: 1, u: 5, r: 5}. What is prob of picking 1 w, 2 r, and 1 x?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 + 15*a**2 - 2*a + 5. Let f(s) = 6*s**3 + 14*s**2 - 3*s + 6. Let p(c) = -6*f(c) + 5*k(c). What is the units digit of p(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 101. Solve 11 = -i*d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 274?\nAnswer: -26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/11 - 19*r**4\/11 + 48*r**3\/11.\nAnswer: r**3*(r - 16)*(r - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-7)\/((-364)\/(-25)). Let k = 33\/119 - -1\/119. Put k, x, -2\/13 in decreasing order.\nAnswer: k, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m*p**3 - 233*m + 171*p**3 + 3*p wrt m.\nAnswer: -2*p**3 - 233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + eeb84?\nAnswer: eeb8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygcgybbygbygbgggcc. Give prob of picking 2 b and 2 g.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112.02 + 112. What is the smallest value in d, -5, -2, 1\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -573, -1875, -4383, -8499, -14625, -23163?\nAnswer: -34515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8013771 + 2265?\nAnswer: 8016036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let d(q) = 6*q. Let t(u) = 18*u. Let s(h) = 8*d(h) - 3*t(h). Determine s(p(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**5\/20 - a**2\/2 + 9999*a. Determine y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8383, -8394, -8405, -8416, -8427, -8438?\nAnswer: -8449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 814918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40349 and 26219?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139054 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:12 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) 4 (c) -1.6 (d) 5 (e) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) + 2599\/15. Suppose t - 107 - 65 = 0. Let r = q - t. Which is the closest to 0.1? (a) 2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -821, -5 in descending order.\nAnswer: 1, -5, -821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/7)*c**8\/c)**32*(c**(1\/5)*c\/(c**(2\/25)\/c))**7 assuming c is positive.\nAnswer: c**(38597\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-610)\/(-1220)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306 + -292. What is the highest common divisor of r and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.2, -1, 2 in increasing order.\nAnswer: -1, 2, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -c + 3 - 1, -3*c + 18 = -3*r. Solve -4*u = 4*b - 4, -3*u + c = -4*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + -2.8. Let x = -2.8 - a. Suppose 4*w = 5*m + 6, 5*w = 3*m + 3*w + 2. Which is smaller: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-20) - (4\/(-5) - 3). Solve -u*k + k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(170)*2 + sqrt(170)))\/(sqrt(10)*4*-3))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 38.631?\nAnswer: 15.4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.5 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/39))\/(n*n*n\/(n\/(n\/n**(-13)))))\/(n*n**(2\/11))**(-2\/57) assuming n is positive.\nAnswer: n**(-40503\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*z = -3, 0 = 2*q - 2*z - 5 - 1. Find the third derivative of 40*f**q - 40*f**3 - 11*f**2 + 10*f**4 wrt f.\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:48 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*b**3*f**2 - 160*b**3*f + 18*b**3 + 92868*b*f**2 - 2*b*f - 9*b wrt f?\nAnswer: -94*b**3 + 185736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6*d. Suppose g - 1 = -d. Let p = -217 - -1951\/9. Is g equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -3 (c) -1\/2 (d) -82 (e) 1 (f) -12040\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/55 and -49\/11455?\nAnswer: 126005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22197, -22231, -22265?\n\"Answer: -34*l - 22163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from oodooddooo?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + x. Let p(h) = 2*h**3 + 13*h**2 - 7*h + 3. Let v(n) = -5*l(n) - p(n). Calculate v(3).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299530 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004484743 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + 0 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 16*g**2 + 13*g - 2. Calculate k(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 400, 4, -3, -145 in increasing order.\nAnswer: -145, -3, 4, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -551127 divided by -5?\nAnswer: 551127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:51 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:17 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -253 + 369.446\nAnswer: 116.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 10*d. Let g(x) = x - 1. Calculate -a(w) + 4*g(w).\nAnswer: -6*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -13. Factor 5*o**2 + 4 + 5*o**2 - 8 + x*o.\nAnswer: 2*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - d + 3*d - 4 = 0, 0 = 5*t - 4*d + 4. Let s be t\/18 - (-94)\/18. Solve 0*o - v = 5*o + 18, s*o - 2*v = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200 divided by -6.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128543861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 bigger than 1.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13132 or 39392\/3?\nAnswer: 39392\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**7\/840 + u**4\/8 - u**3\/3 + 4*u. Let x(l) be the second derivative of w(l). What is the derivative of x(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3582.27 + -3633. Let s = r - -51. Let i = s + -0.08. Round i to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*1587.\nAnswer: -161874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*o = -0*q - 51, 5*o - 195 = -5*q. What is the highest common divisor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-2)\/8*8\/(-726)*(-738)\/(-492)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**(-2)*(u*u\/u**1)**(-8))\/(u**2\/((u**(-6)*u)\/u)*(u\/(u*u*u**(-1\/4)*u))\/u**(-5)) assuming u is positive.\nAnswer: u**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1503, 391, 7 in descending order.\nAnswer: 391, 7, 0, -1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1, -109, 2, -6064?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 413026320 a multiple of 2150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + (0 - 1). Let j = -2\/37 - -131\/370. Put j, d, 1\/7, 0.4 in decreasing order.\nAnswer: 0.4, j, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -6 - -4) + 1*17. What is the highest common factor of s and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7000 is divided by 2307?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 811 divide 14255092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) -8\/3 (c) -3 (d) 0.053\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = -14. Let n be y\/11 - (-31)\/11. Suppose 5*f + 14 = -q, n*f + 4*q + 4 = -1. Which is the third biggest value? (a) 4 (b) -2\/9 (c) f (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:35 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 7*n**5\/5 - 101*n**4\/12 - 2*n - 51. What is the third derivative of w(x) wrt x?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12072011 divided by -139.\nAnswer: 86849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -188, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 10. Let g(q) = 2*q - 18. Let h be g(9). Calculate z(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 113?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2)*(24 + -14))\/(-8 + 11). Let n = -3 - -6. Which is the third smallest value? (a) n (b) -31 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-28)*(-200)\/(-30)*2310\/(-75)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 48*r**2 + 6*r - 7. Let t be b(2). Suppose 3*j - t = -4*k, -2*k = k - j - 151. Calculate the least common multiple of 30 and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*g - 18*g - 0 + 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/13, -15, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -5 - -4 - (-6 + 3). Solve -b - o - 4 = 0, -z*b + 7*o = 6*o + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.4169 milligrams in grams?\nAnswer: 0.3744169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -3 = -5*u + 7. Let c be -1*((-8)\/u - -2). Do r and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, 0, 17, -4.\nAnswer: -18, -4, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060801 rounded to 6 dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*n + 4*c - 8, -2*n = -3*c - 4. Calculate the remainder when n\/(-2 + (-64)\/(-28)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -384218, -768502, -1152786, -1537070, -1921354, -2305638?\n\"Answer: -384284*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*i - 168 wrt i?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*m + 7908, -1305 = 2*m - 3*v - 5259. Does 51 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 - 7*v**2 + 2*v + 5. Let w(z) = -z + 4*z + 11*z**3 + 11*z**2 + 0*z**2 - 8 - 6*z. Suppose 4*y + 16 + 4 = 0. Give y*w(g) - 8*m(g).\nAnswer: g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 18*f - 3. Let v be h(4). Let a = v + 82. Sort a, 4, -1, -3 in increasing order.\nAnswer: -3, -1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 1. Let y be q(-7). Suppose n = 1 + y. What is the second derivative of 0*k**2 + k**2 - k**2 + 5*k - n*k**2 wrt k?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -5*u + 25, -3*u - 14 = 5*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 72. Which is the third smallest value? (a) 13 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 3. Let y be v(-5). Let i(l) = 7*l**2 - y*l**2 - 7*l**2. Let d(r) = -11*r. Give d(i(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 44*j + 204. What is c(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*x**2 - 3*x + 187 wrt x?\nAnswer: 90*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 2 - 2 + (-3 + 3 - 2*t)*(0*t**2 + t**3 + 0*t**2) - 3*t**4 + 3*t**4 - 2*t**4 + 2*t**4 + 18*t**2 + 91*t**2 + 134*t**2.\nAnswer: -3*t**4 + 243*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -1 - 1\/(-4)*5. Suppose 3 = 5*y + 23. Let v = 0.36 - -0.04. Put v, y, z in decreasing order.\nAnswer: v, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*q + 116, 434 = -4*c - 0*q - 3*q. Let y be (-3714)\/(-22) + (-20)\/c. Let t = y + -107. Calculate the remainder when t is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 7*s**4\/12 - s**3\/3 - 5*s**2 - 15*s. Is m(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l. Let c(g) = 171*g - 2. What is x(c(o))?\nAnswer: 1026*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:49 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-6)\/15*-1). Suppose -6*i + 18 = -z*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/795990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22028 - 386?\nAnswer: -22414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.075 times -10?\nAnswer: -10.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-45)*-10*6\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-1))\/((-21)\/(-28))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let x(n) = -n**2 - n + 1. Let r(h) = -2*h**2 + 4*h - 4. Let o be (-2)\/(-13) - (-45)\/(-39). Let s(f) = o*r(f) - 4*x(f). Determine d(s(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172021867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 8:01 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2038 divided by 15343?\nAnswer: -2038\/15343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1214 + 1337. Which is the smallest value? (a) -4 (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.962663953 - -0.091.\nAnswer: -4.871663953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 205360*k + 616062.\nAnswer: 2*(k + 3)*(k + 102677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 7, -175, -4, 3.\nAnswer: -175, -4, -2, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218622602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/5*(3 + -4). Let s be a - 48\/(-27) - 724\/(-18). Calculate the highest common factor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (3 + -3)) + (-368 - -392)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16 + 2*l**3 + 11 + 5*l**2 + 5*l + 4*l**3. Let h(w) be the first derivative of -3*w**4\/4 - 2*w**3\/3 - w**2 + 2*w + 22. Determine 5*h(m) + 2*o(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-7)\/(-105))\/((-8)\/120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4132 + -1519. Is 68 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10465, 20927, 31389, 41851, 52313?\n\"Answer: 10462*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 941597\/45 - 20923. Calculate the common denominator of -56\/135 and b.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*((-90)\/6)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -21 (b) 368 (c) -8 (d) 2\/13 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4585, 9162, 13739, 18316, 22893, 27470?\nAnswer: 32047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/((-1)\/(-12)). Suppose -l + 25 = 2*t - m*t, -145 = -3*l - 2*t. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 18*a**2 - 17*a - 13. Let k(d) = 3*d**2 - 3*d - 2. Let i(q) = -2*q**2 - q - 6. Let f be i(0). Let y(t) = f*l(t) + 34*k(t). Differentiate y(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744058 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2136*k**3 - 1063*k**3 - 2 - 1070*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1a7c89 (base 15) to base 7\nAnswer: 13660665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.0455, 5 in ascending order.\nAnswer: 0, 0.0455, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.923 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -19615340817 and 6.\nAnswer: -19615340811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 188*n\/7 + 2960\/7 = 0. Calculate n.\nAnswer: -74, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 18) + 14 + 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.739 - -0.061. Let t = v + -2.8. What is the third biggest value in t, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2184, 2183, 2182?\n\"Answer: -x + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340706 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2088\/(-406))\/(-12)*(-5)\/3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*(-10)\/(-3). Suppose 0 = 5*q + c + 3*c - 55, -y*q + 10 = -5*c. What is the remainder when q is divided by 5 + -1 - (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719273922?\nAnswer: 2, 3, 1627, 73681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*t**4 + 10*t**4 + 15*t**2 - 13*t**2 wrt t?\nAnswer: -384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -912*h**3 + h**2*t + 345*h*t - h - t wrt h?\nAnswer: -5472*h + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -53*k + 109*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3175 and 254?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a941 + -25?\nAnswer: 16a918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25308384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5556)\/(-1389)*(-3)\/(54\/4)*72?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.3. Let k be ((-21)\/70)\/(8\/10). Let q be 0\/((-2)\/(-1) - 3). What is the closest to q in -5, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53839353133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.899152ml in litres?\nAnswer: 0.007899152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -39, -36?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525.054 millennia in centuries?\nAnswer: 95250.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -0*h - 4*h + i, -2*h = 4*i - 10. Let v(x) = -x**3 + 10*x**2 + 12*x. Let w be v(h). Solve 7*c - 11 = 4*u + 4*c, -u = 2*c + w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -2.69. Let u = r - 3. Let v = u + 0.01. Which is the nearest to -2\/3? (a) v (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:11 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10353312 (base 6) in base 13?\nAnswer: -ab443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2. Let a(p) = p**2. Let u(q) = 11*a(q) + 4*y(q). Let d(v) = -4*v. Give d(u(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + k**3 - 2*k + 0*k + k**3 - 1 + 0*k to the form i*k**2 + b + p*k**4 + x*k**3 + d*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - 24*r - 1. Let j be z(5). Suppose -4*t - 5*v = -409, j*t - 406 = -v - v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/41))**(-34\/7) assuming h is positive.\nAnswer: h**(-68\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.509297 - -96.509827. Let f = 94 - 14. Let g = f - q. Round g to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295326.5 to the nearest 1000.\nAnswer: -295000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let w be ((-9)\/(-105))\/(((-2)\/(-5))\/2). What is the closest to -0.1 in -4, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 2\/7, 3, -1\/26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, w: 11}. What is prob of picking 2 w and 1 z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16876 + -14528. What is the greatest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1258\/(-34) - (-72)\/(-96)*108?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*z**3 + 505*z**3 - 229*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a millennium in months?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 5, -5, -2\/3 in descending order.\nAnswer: 26, 5, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -364 - -385. Calculate the remainder when 1174 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3027135547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/15 - 58*i\/15 + 16 = 0. What is i?\nAnswer: 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -10022?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524351 to the power of 1\/2, to the nearest integer?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 7.6. Let d = -136.11 - -137.11. Suppose -4*z - 7 - 13 = 0. Which is the closest to z? (a) d (b) v (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1199)\/165*5\/(-28) and -21\/2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 12 = -p - 4*u, 5*u + 30 = 5*p. Suppose 0 = 2*m - 3*x - 13, p*m - x = 3*x + 24. Solve 22 = -3*z - m*r, 3*z - z + 5*r + 23 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from gggghghugggu?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, p: 4, d: 7, v: 2, u: 1, b: 1}. Give prob of sequence ovv.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s**(-14)\/s*s*s*s**(14\/5)\/s*s**(-4)\/s*(s*s*s\/(s\/(s\/(s*s*s**(-11))*s)))\/s assuming s is positive.\nAnswer: s**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7751*t**2 - 19*t - 20. Suppose -f = -3*l - 26, -3*f - 2*f + 3*l + 106 = 0. Let j be o(f). Round j to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -14, -3\/4 in decreasing order.\nAnswer: -3\/4, -14, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 61\/15*h**6 + 0*h**4 - 197\/2*h**2 + 270*h + 0*h**3 + 0 + 1\/10*h**5. What is the derivative of n(f) wrt f?\nAnswer: 488*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*j**3 - 3*d*j**2 - d + 12*j + 27 wrt j?\nAnswer: -6*d*j**2 - 6*d*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 + 8916*o - 35668.\nAnswer: (o - 4)*(o + 35668)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 19, 5, -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - -2 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 17 = 43. Put -3, t, 13 in decreasing order.\nAnswer: 13, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62072341\/10 - 6214730. Let b = 7508 + a. Calculate the common denominator of b and (990\/(-96) + 15)*4\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 - 2. Let t be l(-5). Let o = t - 144. Solve o*r + 0*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {r: 7, z: 1, n: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/15*32\/(-16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/14 - (-2)\/(80\/(-136)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 10) in base 9?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n**2 - 3. Suppose -m - 4*d = 2*m + 14, 23 = -m - 5*d. Let u be r(m). Let a(o) = o + 4. Determine a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95\/3 + 32. Sort 4, 1\/7, l, 0 in decreasing order.\nAnswer: 4, l, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 750*r + 5921 + 9*r**3 - 14*r**3 - 5921 + 95*r**2 = 0?\nAnswer: -6, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 + -7 + 6 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 11*g - 1 = 6*g, 12 = -5*q - 2*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337034 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-720)*9\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1615698 weeks to nanoseconds.\nAnswer: 97717415040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 6:27 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 25*p**4\/12 - p**3 + 13*p**2\/2 + 19. Let n(k) be the second derivative of c(k). What are the prime factors of n(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3\/2 + 76765*i**2\/2 + 460745*i\/2 + 383975\/2 = 0.\nAnswer: -5, -1, 15359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946455.29 + 1?\nAnswer: 7946456.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/196*70\/(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q. Let a(w) = -2*w - 4. Suppose 2*f - 7*f = 20. Let u be a(f). Let i be (-11)\/u - 33\/(-44). Give h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12*j**4 + 3*j**3 - 3*j**2 + 3*j - 36. Let b(o) = -o**3 + o**2 - o - 1. Let d(c) = -3*b(c) - m(c). Differentiate d(y) with respect to y.\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2435932, -2435948, -2435980, -2436034, -2436116, -2436232?\nAnswer: -2436388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 11*j - 85 = -24*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 7. Let w be h(5). Let i be ((-6 + 4)\/(6\/9))\/((-22)\/(-44)). Sort i, w, 1 in decreasing order.\nAnswer: 1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 - ((8 - 11) + 12))*(1 - 0). Let c(w) = -w**3 - w**2 + w + 1. Let f be c(0). Let m be (4\/(12\/9))\/f. Sort p, -3, m, 8 in decreasing order.\nAnswer: 8, m, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 153, -5805, -53.\nAnswer: -5805, -53, -5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 5c34?\nAnswer: 5c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 783424328 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42332694.\nAnswer: 2, 3, 7055449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 5, a: 3, v: 2}. Give prob of sequence iaii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 303*q + 39723. Determine g(-131).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 1 r when three letters picked without replacement from rbnnippbx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -j + 80. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680679 and 4611.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5614 and 802?\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229 (base 13) in base 15?\nAnswer: b65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79211, -79226, -79243, -79262, -79283?\nAnswer: -79306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1578 + -1458. Which is bigger: 2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*3982.\nAnswer: 796.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 189 = 165. Solve s*x = -5*y + 4*x + 23, 2*y = 2*x + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l + 228 = -332. Which is greater: l or -25.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 - 16*u**3\/3 - 79*u**2\/3 - 52*u - 36.\nAnswer: -(u + 2)**2*(u + 3)*(u + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 9) to base 13.\nAnswer: -3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2059 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 5:18 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + da9?\nAnswer: d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -3215207?\nAnswer: 3215202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {l: 6, b: 6, o: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*q - 2*h, -145*h + 34 = q - 147*h. Calculate the lowest common multiple of q and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuby when four letters picked without replacement from {u: 3, y: 1, k: 1, b: 7}.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*u - 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/6 + 3*x**2\/2 - 37*x. Let l be t(-1). Factor -10 - 2*k**l - k**4 - 5*k - k**5 - 5 + 18 + 6*k**3.\nAnswer: -(k - 1)**3*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338258 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14608 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061484 rounded to four dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4000952069 to the nearest integer?\nAnswer: 63253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q + 31. Let f be j(-18). Suppose 0 = -3*w + 5*y + 633, 8*y = w + 6*y - f. List the prime factors of w.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -16*u**2 - 31*u - 1. Let h be z(-2). Let s(p) = -p**2 + 14. Let g be s(h). Solve 2*i - 5*o + 18 = 0, 7 = -g*i - 0*o + 3*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76557845 - 35507*d - 321*d**2 - 20300*d + 16677*d + 166*d**2 + 150*d**2 = 0 for d.\nAnswer: -3913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 8. Let a = 2 + w. Let b(p) = p**3 - 5*p**2 + 6*p - 4. Calculate b(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123118 is divided by 432?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(-1*sqrt(84))\/sqrt(7)*-5)**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 209956 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + -5 + 2 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015 - 1135 = -15*m. Solve 0 = 4*u - 2*i + 3 - 7, i = -4*u - m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367, -0.1, -1, 0.2 in descending order.\nAnswer: 367, 0.2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.05, 3, 9\/8, 2\/5?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 3*t**2 - 3*t + 3. Let x be d(3). Let p = x - 9. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 16 (b) 63 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213180 by 11.\nAnswer: 19380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = i - 4*i, -4*i + 14 = u. Suppose 9 = 3*r, i*p - p - 5*r = -24. What is the nearest to -1 in -4, p, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 + 16*o. Suppose 4*y - 18 = -2*y. Let l(m) = 0*m**3 + 2*m**y + 3*m - m**3. What is -16*l(c) + 3*z(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.3. Let j = -2\/379 - 335\/8338. Let y = j - -15\/88. Which is the smallest value? (a) y (b) 2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - -2*2*sqrt(95)))*-4*5)\/(sqrt(45)*3 - ((sqrt(80) + -1*sqrt(80) - sqrt(80)) + sqrt(80))).\nAnswer: -40*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/15 and ((-2)\/90)\/(2\/1370*-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((0 - 6) + (3 - 12) + 9 + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 3292585392 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3286, 6545, 9790, 13015, 16214?\n\"Answer: -l**3 - l**2 + 3269*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/35 and -111\/812.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619146.\nAnswer: 2, 631, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*2*6 - sqrt(95)*-1*4*-4)\/(((sqrt(500) - sqrt(500)*-1*3) + -2*sqrt(500)*-6)*5).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 8*m - 8. Let u(t) = -2*t**2 - 8*t + 8. Let h(f) = 5*u(f) + 4*y(f). Determine o so that h(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o - 1\/3*o**3 + 0*o**2 + 16. Let n(m) be the first derivative of 3*m**2\/2 - 1. What is t(n(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -13. Let l = -11 + 11. Suppose l*t = t. Solve 2*f - s - 4*s + x = t, -14 = 5*f + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 + 76 = 0. Suppose -5*z - 164 = -1524. Let j = z - 41. Calculate the highest common divisor of j and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -3 (c) -2 (d) 110\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 2, w: 1, j: 1, t: 1, e: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 3 - 461*t + 13*t**2 + 469*t + 2 to the form p*t + w + v*t**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, -5.\nAnswer: -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*z - n + 2*n, -4*n - 20 = -2*z. Solve -2*o = m + 3*m + z, 2*o + 3*m = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/95 in -0.3, -1\/5, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 3. Let u be p(5). Suppose -w + 14 = -3*x, w + 8 = -u*w - x. Let a be ((-14)\/6)\/(w\/33). 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 comes next: 546212, 546211, 546210, 546209, 546208?\nAnswer: 546207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4920 + 4927. Which is the fourth smallest value? (a) 4\/7 (b) i (c) 1\/8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 138 = -5*c - 41, 3*v - 86 = -91*c + 90*c for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*w + 28, 5*l - 65 = 5*w - 10*w. Suppose -l = -7*f + 6*f. Solve f*k - 2 = -2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 - 279*j + 276 = 0. Calculate j.\nAnswer: 1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/16 - (10812\/(-450) + 12 + 6)\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 2920, 6651, 11898, 18667?\nAnswer: 26964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*g - 20 + 8, 3*g = z + 2. Suppose 0 = 4*m - u + 7 + 21, 8 = 2*u. Let w = -11 + 9. Put m, w, z in descending order.\nAnswer: z, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from mmzmmzmmzmmm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -508\/9 >= 117.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 409\/249642?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f. Suppose -25*o + 29*o - 8 = 0. Let s(v) = -21*v**2 - 21*v**o + 39*v**2. Calculate g(s(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-9))\/(10\/15). Let a be (f + -1)\/(9\/189). Solve -3*n - r - a = -4*r, 3*r = 5*n + 25 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9821235158+-14\nAnswer: -9821235172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcjm when four letters picked without replacement from mkmjmvjcskk?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.89, -294, 12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492670145*y + 20*y**2 - 492670145*y.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22944787, 91779170, 206503143, 367116706, 573619859, 826012602?\n\"Answer: 22944795*w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 31*r**2 + 31*r + 3167. Calculate f(-33).\nAnswer: 4322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*h - 6 = 2*s, -2*h = 4*s - 28. Which is the third biggest value? (a) 2\/7 (b) -4\/5 (c) -48 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 14*m + 20 - 1. Let c be q(-6). Let g = c - -65. Solve -2*r - 2*x - 5 + 15 = g, 2*r + 3*x = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 30*j**2 + 2*j - 21. Let y be b(15). Solve 3*n = 2*z - 23, -5*z = 2*n - 1 - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + x)*(-1 + x**2 + 1)*(5 - 3 - 3)*(-111 - 99 - 200).\nAnswer: -1640*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i + 134*i + 122*i + (-2 + 2 + 1)*((4*i + 2*i + 2*i)*(-1 + 4 - 4) + 0*i - 3*i + 2*i).\nAnswer: 231*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -102772 (c) -3 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 75*r**2 + 4*r - 106. Let l be n(-5). Calculate the highest common factor of l and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -43. Let u be (-54)\/(-15) + 12\/a + -3. Let r be u\/(-5*10\/(-25)). Solve r = -y - 0*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/66)\/(-5)*12.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11711, -2\/71, -3, -1 in decreasing order.\nAnswer: -2\/71, -1, -3, -11711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h. Let q = -28 + 30. Let a(m) = -3*m**2 + 2*m + 3. Let u(s) = q*n(s) + a(s). Let c(v) = -2*v**3 - 2*v**2 + 2. What is 3*c(k) - 2*u(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**10\/30240 - q**9\/5040 - q**8\/2240 - q**7\/2520 + q**4\/12 + 2*q. Let r(m) be the third derivative of n(m). Factor r(i).\nAnswer: -i**2*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 5237058.\nAnswer: 5237057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -14*v**2 + 14*v + 212. Let i(b) = 69*b**2. Determine j(i(f)).\nAnswer: -66654*f**4 + 966*f**2 + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 - (-8)\/20. Let f(c) = -7*c**3 + c**2 - c + 1. Let y be f(m). Let b be (-15)\/y*4\/5. Solve 3*k + k = -3*t + 15, 2*t - 10 = -b*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4 + 9*p**2 - 206*p?\nAnswer: -60*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 5*d**2 - 3*d + 3. Let m(g) = g**2 - 9*g - 13. Let o be m(10). Calculate z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -4 (b) -5\/316 (c) 2\/23 (d) 0.3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25)\/(-5) + -43603*(-1)\/7.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r. Let q(o) = -23*o - 19*o + 71*o - 26*o. Calculate q(i(t)).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*a**4 - 3276*a**2 - 3*a + 11586295.\nAnswer: -116*a**3 - 6552*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -955461 by -3.\nAnswer: 318487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 3. Let f(w) = -16*w + 14. Let u be -1*1 - (-5 + 2). Let p(h) = u*f(h) + 11*r(h). Differentiate p(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4564425 (base 9) in base 5?\nAnswer: -1112314023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303341139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/6*(14\/(-7))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 70*k**2 - 806*k + 3042.\nAnswer: -2*(k - 13)**2*(k - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and 2294.\nAnswer: -8946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {d: 3, l: 5, z: 3, m: 6, e: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/2)*c*c**(-2))**(5\/12)\/((c**(2\/3)*c)**(7\/3)\/(c**0\/(c**(-2)\/c*c))) assuming c is positive.\nAnswer: c**(-181\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/90 and -76\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4411630 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -127. What is the remainder when b is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27833247 and 9308?\nAnswer: 2327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -1 + 12 - (0 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 3*n - 2. Let b be c(3). Suppose 16 = 4*l - 4*t, 1 - b = -l + 2*t. Let r = 2 + -1. What is the nearest to r in 1, 2\/3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 - o - 393 - 293)*(1 + 1 - 1 + (-1 - 3 + 6)*(-1 - 2 + 1) + 1 - 3 + 4 + 1 + 3 - 2).\nAnswer: -o - 792","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96037106.\nAnswer: 2, 11, 197, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from {p: 2, g: 1, n: 2, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -1\/3*v**3 + 0*v**2 + 0*v - 1. Let u(h) = -5 + 2 + 3 + h. Determine u(b(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12216260 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 112 = -h, -3*d + 108 = 16*h - 15*h. Calculate the highest common divisor of h and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8806.584 years in centuries?\nAnswer: 88.06584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-30))\/(((-115)\/1380)\/((-10)\/(-9)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 60. Let o be a(-21). Is ((-2680)\/(-50) + o)\/((-2)\/(-30)) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 divided by -17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3665)\/1 - 12\/((-10)\/5). Let z = -1653 - n. What are the prime factors of z?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*(-356)\/2. Suppose -3*i - 2*r = -42, 5*i + 3*r = 6*r + f. What is the remainder when 31 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 32, 38, 44, 50, 56?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 = -2*r - 716. Which is bigger: r or -4\/877?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4372*n + 18129. Determine c(4).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)**8*(g\/g**(2\/3))\/(g\/(g\/g**(-7))))\/((g**(1\/3)\/((g\/(g*g*g**(2\/9)\/g*g*g))\/g))\/((g**(1\/2)*g)\/g**(-4\/7))) assuming g is positive.\nAnswer: g**(2753\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from {q: 1, m: 5, f: 1, u: 3, x: 2, k: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 1316, 1968, 2638, 3332, 4056, 4816?\nAnswer: 5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 41 = -3*c, -5*c - 2*j = 3*j - 55. What is the tens digit of (4 - c)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54909\/13574 - 2\/6787. Find the common denominator of 47\/30 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3943 - 3946.3068. Let l = m - -3.3. Round l to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 1. Let j be m(-1). Let l = -199 - -200.25. Let u = 2.85 - l. Put -2\/3, j, u in decreasing order.\nAnswer: u, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let m = 4.5 + -1.5. Which is the second smallest value? (a) 0.5 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqqvmwwuwwvvuwv. What is prob of sequence mquq?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 4607.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from ohzzztzvztmoh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*z - 19, 5*x - 101 - 28 = -114*z - 1150 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 19*p**2 + 4*p - 9. What is u(-6)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 1, c: 1, b: 1}. Give prob of sequence hjbc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 5*h**2 + 4*h**2 - 3*h. Let l(m) = 9*m**2 + 13*m**2 - 16*m**2. What is l(y(f))?\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -67, 7174 in ascending order.\nAnswer: -67, -1, 1, 7174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 265, 511, 757, 1003?\n\"Answer: 246*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 122. Suppose y*h + 2*h = -3*u + 627, -5*u + 462 = 3*h. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811 + 877 + 234*g**2 + 5*g - 233*g**2.\nAnswer: g**2 + 5*g + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 4, 0.1, 0.4, -0.2657?\nAnswer: -0.2657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 1. Let t(x) = -3*x + 4. Let u(w) = 17*c(w) - 6*t(w). Let y be u(7). Solve 2 + y = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154281?\nAnswer: 3, 51427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -286 - 2149b?\nAnswer: -21754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 17*p - 21 = 0. Let y = 26 + p. Suppose -5*t = -5, s - 11 - y = 4*t. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1\/10, -3\/4, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2098980 divided by 621?\nAnswer: -3380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y + y + 9*y + 9*y + 0*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k. Suppose -6*v + 25*v = 76. Let y(p) = 6*p**3 + 4*p. Calculate v*q(d) + y(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-154)*(-3 - (-117)\/18)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -83.011. Let m = 0.489 - b. Let p = -7 - -5. What is the smallest value in m, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let t(b) = -2*b. Let a(k) = k**3 - 11*k**2 + 26*k - 12. Let x be a(8). Let f(l) = -3*l + 15. Let d be f(x). Calculate d*t(w) + 2*i(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 24. Give y(-23).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 285?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 41895?\nAnswer: -209475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25962, -51892, -77822?\n\"Answer: -25930*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 30*n + 3*u - 22, -n + 3*u = 28 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 18 = 4*b - 6, 15 = -l - 5*b. Suppose -1501 = -78*a - 331. Solve l = -a*v + 10 + 35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 248 - 189. Let u = -55 + q. What is the nearest to 0.2 in -3\/4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 762.9441 + -763. What is o rounded to 3 decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436144701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose -15*t = 1113 + 237. Let b = t + 94. Put a, b, 3 in ascending order.\nAnswer: a, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 divided by 3?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848*l - 21255 = 10969 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/((-19)\/(3990\/(-12)))*-1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 0.1 (c) 6 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 6*a - 16*a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4)*(-1 - k + 1)*((-4 + 2 + 3)*(-3 + 0 - 4) + (5 - 3 - 4)*(-3 + 1 + 1)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -2\/9 (c) 1\/2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) - 532\/(-22). Let v be 12 - 807\/o - 1\/(-8). Which is bigger: v or -23?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 3*a**2 + 3*a. Let u be i(4). Is (5\/u)\/5 + (-837)\/(-36) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.04 - -0.04. Let q = -7.5 - a. Is -2\/5 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.691 - 1.509. Let i = c + 2.2. Let g = -0.1 + 0.2. Is g at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 10*a**4\/3 - 98788*a**3 - 474206*a**2\/3 - 19760*a + 118552\/3 = 0?\nAnswer: -1, 2\/5, 29638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/(-2) - 4\/(-8). Suppose -8*u + 96 = -7*u. Calculate the greatest common factor of b and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001022 - 101010?\nAnswer: 10200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 57*c + 1793 + 452 = -731 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*u - 4 + 13*u + 8*u + 92*u + 11*u.\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 4)*(-21*m + 14*m + 48*m) + (-2 + 2 + 1)*(m + 0 + 0) as g + x*m and give x.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2337*o - 2303*o = 136 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121630.\nAnswer: 2, 5, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223037950\/561 - -397572. Calculate the common denominator of k and 121\/170.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 144.\nAnswer: -5\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3137.11 times -1\nAnswer: -3137.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10*30\/(-4))\/(27\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1147006, -1147004, -1147000, -1146994, -1146986, -1146976, -1146964?\nAnswer: -1146950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 473187, 946246, 1419305, 1892364, 2365423, 2838482?\nAnswer: 3311541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9 + 2 = -5*s, -s - 2 = 0. Is (c + 42)*(-29)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 59*u - 65272. What is b(196)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2 + 33*d + 30 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 256*r - 644*r - 17 + 229*r + 222*r. Let s be 1 + (5 - 3) + -1. Calculate the remainder when t(s) is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*z - 583*z + 10785 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1095 divide 5327855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 42638*o**2\/5 + 213178*o\/5 - 12 = 0.\nAnswer: -5, 6\/21319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 5*w + 25 = 7*c, -3*c = 3*w + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 7. Let n be x(-3). Suppose -4*g - 4 = -5*h, n*h = 2*h + 2*g. Find the third derivative of 4*q**h - q**2 + q**4 - 2*q**4 + 0*q**2 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -21*w + 54. Let v(n) = -41*n + 108. Let o(u) = -7*c(u) + 4*v(u). Give o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -8. Let p = 15 + w. Solve 2 = -x - p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 4, 95, 5, -4 in ascending order.\nAnswer: -12, -4, 2, 4, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(891)*3 - sqrt(891))*5 + -4)*6)**2.\nAnswer: -25920*sqrt(11) + 3208180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 + -785\/4. Let y = 1.5 - 1.8. What is the closest to 1 in 3, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let q(p) be the first derivative of 36*p**2 - p + 96. Let s(z) = -143*z + 2. Let y(u) = -5*q(u) - 2*s(u). Give y(v(b)).\nAnswer: 74*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10500550 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*((0 + sqrt(75) + 1 + sqrt(75) + sqrt(75) - (sqrt(75) + 2*sqrt(75) + -4)) + -3))**2.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16d0 - -6183?\nAnswer: 7853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1442 = 3*t, 66 = -5*g - 2*t + 1872. Let q = g - -311. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241162 (base 8) in base 15?\nAnswer: 196d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.614431 milliseconds in nanoseconds?\nAnswer: 8614431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 82, -3 in ascending order.\nAnswer: -5, -3, -2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, y: 5, p: 2, w: 1}. Give prob of sequence yjpw.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 4. Let u be 0 + ((-4)\/2 - -2)\/(-2). What is j(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.6 - 38. What is the third smallest value in 2, 4, y, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**7\/7 + u**3\/3 + 5*u. Find the second derivative of o(v) wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8806 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 114. Let l be (3\/10*2)\/(s\/75). Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(243) + 0 + sqrt(243)) - sqrt(243) - (4*(0 + sqrt(243)) - sqrt(243))**2) + 5)*-3.\nAnswer: -27*sqrt(3) + 6546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -10*i - 71*i. Let y(w) = -w**3 + 1 + 7*w**2 - 9*w + 4*w**2 + 0*w**3. Let t be y(i). Is 11 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2467*b**4 + 1988*b**2 wrt b.\nAnswer: -59208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 + -761a99?\nAnswer: -761a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 239803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*1*1\/(-2). Suppose r - 4*m - 17 = a, -2*r - 5*m + 56 = -2*m. Let w = 25 - r. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n**2. Let s(b) = 7938559*b. Calculate s(p(q)).\nAnswer: -111139826*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -45059.44, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238406911.\nAnswer: 79, 3017809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 18*s + 4. Let m be n(3). Let t = 63 - m. Let a be 1 - 1*(-1 - 0). Solve a*f - t*b = -0*b - 23, b - 4 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101 - 0?\nAnswer: -11011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -17) + 263 + -243\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**9\/3024 - g**6\/180 - 2*g**3\/3 + 1. Let f(w) be the third derivative of d(w). What is the third derivative of f(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 divided by -159?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16429 and 89?\nAnswer: 1462181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*i - 10, 5*i - 2*i = 2*c - 13. Let d = 2.1 - 2. What is the nearest to d in i, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-509*h**2 + 144*h**2 - 1206*h**2)*(-5*h + 5*h + h).\nAnswer: -1571*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 896051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + 4*d**2 + 6*d + 4. Let n(q) = q**3 - 19*q**2 - 18*q - 41. Let t be n(20). Let l be b(t). Solve -l*z + 22 = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 2128588.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9959.421 milligrams?\nAnswer: 9959421000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1119, 2187, 3255, 4323, 5391?\n\"Answer: 1068*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*u = -25, 2*s + 2*u + 2 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -13 (c) -901.8 (d) 3\/5 (e) 5 (f) -1 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 1. Let t be f(1). Suppose y - t*n + 19 = 3*y, -y + 3*n + 14 = 0. What is the derivative of -1 + y - 319*m**3 + 317*m**3 wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -71 + 19. Let h = -45 + z. Suppose 1731 + 1020 = h*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0 + 0)*(y + 4*y - 2*y) - 4*y**2 + 6*y**2 - 14*y**2 + 4 + 2*y**2 - 4.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 4*m + 8. Let n be v(-3). Suppose -3*c + 8827 = -5*h + 2136, -n*h = 5*c - 11193. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52138.89 kilometers?\nAnswer: 52138890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153352040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-3\/2)*u*u*u*u*u)*u*(u\/u**4)\/u*(u\/(u*u*u\/u**(-6)))\/(u**(2\/9)*u))**31)**(2\/3) assuming u is positive.\nAnswer: u**(-8773\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 5\/24*m**4 + 0*m**3 - 21*m**2 + 0*m + 0. Let d(x) = 10*x. Determine d(l(j)).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217 (base 8) to base 12.\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s - 4 + 28*s - 5*s - 6*s. Let t(r) = 1. Let o(w) = c(w) + 4*t(w). Let a(p) = 2*p. What is o(a(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 y when three letters picked without replacement from llnynlynlnn.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 14\/7 + (-63)\/6.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20573823 and -20573816 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1376 and 6966?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 349 + -237. Let m be (u\/21)\/((-2)\/(-28119)). Suppose -3*y - b - 3*b - m = 0, 2*b - 25008 = y. Round y to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 17\/1 - (1 - 0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244260498*c**2*z**5 + 36*c**2*z + 47*c**2 + 139*z wrt z?\nAnswer: -4885209960*c**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 4\/6 - (88\/(-12) + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = h + 5*t, h = 4*h + 5*t + 17. Is (386 + (-3)\/(-1))\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 28\/5*x**3 + 4\/5 + 6\/5*x**2 - 18\/5*x = 0.\nAnswer: -1, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-11))\/(((a\/(a**11*a*a*a))\/a)\/a))\/(((a**(-18)*a)\/a)\/(a*a\/((a*a*a*a**16\/a*a*a)\/a))))**28 assuming a is positive.\nAnswer: a**784","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2044235126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4\/8*-2. Let q(k) = -4 + 11*k + 8 - 21 - r. Does 12 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 - 450\/504\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rudrdddwfrr. Give prob of picking 1 d, 1 w, 1 u, and 1 r.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 1844525*d\/2 - 922263.\nAnswer: (d - 1)*(d + 1844526)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 195*48\/40*(2470\/78 + -32)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 559754483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 239*c**2 + 246*c**2 + 243*c**2 - 965*c**2 + 235*c**2. Let p(w) = -2*w**2 + 7*w - 281. Give p(j(i)).\nAnswer: -8*i**4 - 14*i**2 - 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21982363 and 1339?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -13. Suppose -d*r = r - 4*s - 71, 0 = -r - 5*s + 11. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 685 + -112343\/164. Let v = -7295\/164 + m. What is the common denominator of v and 1346\/56 + 6\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3167 - -5508. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 748, 747, 748, 751, 756?\n\"Answer: y**2 - 4*y + 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 53, 193, 473, 941, 1645, 2633, 3953?\n\"Answer: 8*p**3 - 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8343*d - 5401 wrt d.\nAnswer: 8343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 7*i - 1. Let v(l) = -6*l**2 + 42*l - 8. Let u(h) = 5*k(h) - v(h). Suppose -29*d + 8 = -28*d. Determine u(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 10 + 40. Let m(c) = -13*c - 3 + 1 - 1. Let y(p) = -p - 1. Let k(v) = h*y(v) - m(v). What is the first derivative of k(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d - 46. Let m be a(5). Suppose -9 = 2*j + 5*w, -12*w - m = -9*w. What is the lowest common multiple of j and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -2543.9\nAnswer: -4324.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -546 + 548. Suppose 3*k - 14 = -3*s - s, 5*k + 3*s - 5 = 0. What is the units digit of t\/((-3)\/18*k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -23*p**2 + 3*p - 1. Let l(a) = -24*a**2 + 2*a. Calculate -2*k(m) + 3*l(m).\nAnswer: -26*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.498 + -0.002. What is the closest to -2\/5 in -2\/3, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6824\/1105 - -89\/13. Let r = 757\/5 + -283\/2. Calculate the common denominator of r and p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 21712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3558683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let g(c) = -3*c**2 - 513*c - 33. Calculate g(n(w)).\nAnswer: -3*w**2 + 513*w - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5 - 2*k + 3*k.\nAnswer: k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -39\/10892129 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -1\/840*z**6 + 1\/84*z**4 + 0 - 13\/490*z**7 + 9\/784*z**8 + 0*z**3 + 11\/420*z**5 + 0*z + 5*z**2. Solve n(i) = 0 for i.\nAnswer: -1\/3, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20*n = -48. Solve 1 - 10 = n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 76\/6*1*(-9)\/(-6). Solve -2*x + 2 = 2*v, -5*x + 3*v = 16 + l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -3 (c) 5\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*a - 1 + 1 + 239*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = k + 10, -5*o + 16 = 2*k. Suppose 49 = o*v - 263. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1228665?\nAnswer: 4914660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3da + 16?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3488 divided by -16\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhy when three letters picked without replacement from yuuh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -552*f**4 + 41784*f + 34440173 with respect to f.\nAnswer: -2208*f**3 + 41784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234961 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*10\/(-6))\/(-1). Let h(n) = n - 1. Let v(j) = 2*j - 2. Let o(f) = q*h(f) + 2*v(f). Let y(g) = -784*g + 782*g - 15 + 17. Calculate -12*o(p) + 5*y(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143595*a**2 - 461596*a**2 + 213035*a**2 - 615345*a**2.\nAnswer: -720311*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*j = 2777 + 8674 + 4209 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -58. Let p = 44 - y. Let a(g) = 43*g + 4. What is the units digit of a(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m**3 + 5*m**3)*(-2*m + 2*m - m**2 + 6*m**2 - m**2 - 3*m**2 + (2 - 2 - 2*m)*(0 + 0 + m) - m**2 - m**2 + m**2).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 0)*((-74)\/(-925) - (-32)\/225). Suppose -16\/3*h**2 - 1\/6*h**5 + 0 + 32\/3*h - 2*h**3 + y*h**4 = 0. Calculate h.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12878*w. Let f(p) = -2*p**2. Give s(f(m)).\nAnswer: 25756*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**5 + 40*d**3 - 2*d - 501 wrt d?\nAnswer: 340*d**3 + 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -3, -0.05, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 1125, 1691, 2259, 2829, 3401?\nAnswer: 3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17387, 69526, 156425, 278084?\nAnswer: 434503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16750228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152.1 - -0.06580844.\nAnswer: -152.03419156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10281*v + 30756. Calculate s(-3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c + 3\/7*c**7 + 0*c**6 + 0*c**5 + 0*c**2 + 0*c**4 - 3 + 5\/3*c**3. What is the third derivative of h(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three eighths of a week?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-54)*(-63)\/(-140)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3209159125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-648)\/126)\/(2\/(-14)). Calculate the greatest common divisor of u and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -5697510707483?\nAnswer: 5697510707458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 318 in -1\/9, 7, 0.8, 5, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 140147428 divided by 7\nAnswer: 140147428\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36 + 40)*4\/(2 - 0). Solve -2 = z*m - 9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Suppose 0 = 4*s - j - 20 - 31, 2*s = -i*j + 9. Let y be ((-6)\/(-20))\/((-9)\/s). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 19. Suppose -n = i - 49. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 + 81. Calculate the lowest common multiple of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3480\/(-66))\/4 + 10\/55.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5819*t**3*v**2 + 3*t**3*z + 9065*t**2*v**2*z - 2*t**2*v**2 wrt z?\nAnswer: 3*t**3 + 9065*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6 + 3 + 0*o - o. Let r be v(-3). What is the third derivative of -l**2 + r*l**2 + 0*l**5 - l**5 wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/1935 and -85\/9401262.\nAnswer: 141018930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0 + -1)\/(-1))\/(3\/(-3)). Let l(a) = -a + 2. Let v(w) = 14*w - 51. Let f(r) = t*v(r) - 6*l(r). List the prime factors of f(-13).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(660)*-2)\/sqrt(12))\/sqrt(5) - (0 + sqrt(275))*3)*5*-3.\nAnswer: 255*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2147543*1\nAnswer: -2147543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 56 = -21*k. Let l = 84 + -40. What is the smallest common multiple of -2 - (-4 - 38*(k + -3)) and l?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 1, e: 1, q: 1, u: 2, o: 1}. Give prob of picking 1 a and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2625 by 35.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48151219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1322818.\nAnswer: 2, 7, 19, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*l + l = 148, 3*l = -4*n + 149. Suppose 9*v - 7 = n. Solve v*f + 17 = -8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 96*u**2 + 97*u + 4. Determine o(-97).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3190*k + 3*k**2 + 4*k**2 + 3172*k in the form j*k**2 + b*k + i and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76164 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -444436450 to the nearest 1000000.\nAnswer: -444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o + 22*o + 3*o**2 - 5 - 6*o. Let a(q) be the first derivative of 4*q**3\/3 + 6*q**2 - 8*q + 2. Let u(f) = 5*a(f) - 8*i(f). Factor u(w).\nAnswer: -4*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15909 is divided by 7951.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 106493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:51 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132767 = -1108*z - 446*z + 677 for z.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 2. Let v = -45 - -227\/5. Let q = v + -3\/20. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 2*z - 2*z + (-2*z**2 + z**2 + 4*z**2)*(0*z + 2*z + 0*z) + 9 - 9 + z**3 to the form u*z**3 + b*z + n + l*z**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 4*o + 2*o)*(17 - 17 + o) - 134*o**2 - 39*o**2 + 311*o**2.\nAnswer: 139*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1430 * 147041\nAnswer: 210268630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-40)\/(-50)) + (-6)\/(-45). Let k = -3.07 + 0.07. Sort -2\/9, z, k in descending order.\nAnswer: z, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*k**4 - 121*k**2 + 65*k - 28*k + 23*k**4 - 43*k - 111*k**4 - 3*k**3 wrt k.\nAnswer: -3504*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*u**2)*((2*u - 6*u + 2*u)*(-2 + 1 + 2) - 3 + 3 - 2*u + 2*u - 5*u + u - 232*u + 467*u - 179*u).\nAnswer: 250*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/4)\/((-843)\/6744). Put 1, 14, -2, -10, u in descending order.\nAnswer: 14, 1, -2, u, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - m**3 - m**3 - 2*m**3 + 4*m**3 + (1 + m - 1)*(2*m**2 + m**2 - m**2) - m - m**3 + m - 10*m - 33*m + 2397*m**3 - 2391*m**3.\nAnswer: 7*m**3 - 43*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (300\/(-90))\/(2\/3)*2\/34. What is the closest to -0.2 in -1\/2, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-232)\/(-290))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4985112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -14 (c) 2\/15 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9\/5)\/(h*h**(2\/93))*h\/(h*h**14)*h**(-4\/7))**(-27) assuming h is positive.\nAnswer: h**(509526\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2712912.602785 + -2712907. Let o = j - 5.6. Round o to four dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y + 108*y + 9 - 8*y - 79*y.\nAnswer: 7*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrk when three letters picked without replacement from {r: 2, b: 1, k: 1, h: 1, n: 1, p: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1167 and 264.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*p - 150 = 5*p, 5*p + 105 = -5*l. Let r = -24 + 56. Let y = r + l. Which is smaller: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let m(i) = -7*i - 4. Let d(q) = 7*q + 3. Let l(w) = -4*d(w) - 3*m(w). Give l(j(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) -650 (d) -0.3 (e) -22 (f) 9 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10\/3)*c**(9\/2)*c)**1 assuming c is positive.\nAnswer: c**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 7985. Let g(l) = l**2. Give j(g(i)).\nAnswer: 4*i**2 - 7985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 460728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23552 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 23 = -5*a, -3*y + a = -a - 7. Let f = -0.24 - -0.05. Let d = f - 0.21. What is the nearest to -2\/3 in 2\/3, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 15 = -2*l + 7*l, -4*l = 2*q - 34. Let w be 3\/l + (-68)\/24. Let y = w - -175\/48. Calculate the common denominator of y and 127\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 77*c + 27*c + 14*c + 20*c + 13*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181136.\nAnswer: 2, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -32864.\nAnswer: 1\/32864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010621 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340615408 by -3041209.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*h - 214 = 0, -4*t + 205 = -4*h - 11. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let o be (14 - 18)\/((-4)\/6). Let u(h) = h**3 - 6*h**2 - 4*h + 15. Let g be u(o). Let v(y) = 12*y**2. What is g*z(j) - v(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 7590*r + 3062812. Calculate h(354).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -1664?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/4*-3. Let b(n) = y*n**2 + 2*n**2 - 8*n**2. Let w(s) = 2*s**2. What is b(w(t))?\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/11 + -38\/55. Solve 2\/5*n**2 - o + 2\/5*n - 2\/5*n**3 = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 1 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 901\/3 + -6271\/21. Find l such that v - 9\/7*l - 3\/7*l**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 25 = 0, -4*y - q + 13 = 0. Solve -2*a - y*v = 4, -5*v - 12 - 2 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18128 and 466334.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 307*m**2 + 184472*m - 790. Give z(390).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9727685 divided by -5.\nAnswer: -1945537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/3)\/(2\/(-6)). Let k(r) = -r + 8. Suppose -2*s = -0*s - 16. Let p be k(s). Solve -i + 4*l = 20, 2*l = -4*i - p*l + m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**3 + 0 - 1\/8*g**4 + 11*g**2 + 0*g. Let x(m) = 1. What is -b(s) - 5*x(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/3 - 404*v**3\/3 - 20602*v**2\/3 - 40000*v\/3 - 6600 = 0.\nAnswer: -110, -90, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2499877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 797 - 737. Calculate the lowest common multiple of m and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 465*p**2 + 305. Let d(w) = -58*w**2 - 38. Let f(a) = -25*d(a) - 3*l(a). What is the derivative of f(o) wrt o?\nAnswer: 110*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from hjhjhhjjhhhhhhhjhhh.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*d + 55*d + 15*d)*(218*d**3 - 2*d**2 - 3*d**2 - 2*d**2 + 0*d**2 + 7*d**2) to i*d**2 + x*d**3 + j*d**4 + a*d + y and give j.\nAnswer: 20928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0.4, 256, 5, 0 in decreasing order.\nAnswer: 256, 5, 0.4, 0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/((-54)\/(-414)*-23)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 76*m**2 + 45*m - 2743. Give p(76).\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, b: 1, p: 3, w: 4}. What is prob of sequence ww?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5673*y**2 + 34540*y - 103624*y + 34546*y + 34538*y to the form s*y**2 + l*y + h and give s.\nAnswer: -5673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gea when three letters picked without replacement from eansjeajssaegeg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 29*u**2 + 111*u - 15. Let g be w(-4). Put 4\/7, -0.03, 0, g in increasing order.\nAnswer: -0.03, 0, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1343680)\/(-14) + (-3)\/21. Let a be x\/2 + (-12)\/24. Suppose 3*n + 84012 + a = 0. Round n to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/6 + 2)*-2. Suppose 5*p = 2*n + 12, -c*n = -3*p + 12 - 1. Factor 6*t**2 + 8*t**3 - 3*t + 2*t**4 + 5*t - p*t**3.\nAnswer: 2*t*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -407\nAnswer: -7733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2414, 2412, 2416, 2432, 2466, 2524, 2612?\n\"Answer: q**3 - 3*q**2 + 2416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6889418582 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + z + z**3 - 2*z**2 + z**2. Let x be a(4). What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-10)\/6*(-4671)\/(-865)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -8*q**2 + 2*q - 1. Let d be p(1). Let r = d + 15. Suppose i + 4*v + 1 = 6, 4*i - 3*v = 1. Calculate the lowest common multiple of r and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-4)\/8*-2). Suppose 0 = -h*c - 7*c + 1008. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.096 * 4.6\nAnswer: 0.4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**5\/5 + 84*j**4\/5 + 1192*j**3\/5 - 14664*j**2\/5 - 1188*j\/5 + 2916 = 0.\nAnswer: -15, -1, 1, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -12, -31, -60?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, -25, 2\/33, -0.4, -1\/5, -2, -2\/9?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -504 + 487 + -3 + (3 - -9) + -2 + 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015972 is divided by 72567?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 109*b**2\/2 + 1018*b + 2250.\nAnswer: -(b - 18)*(b + 2)*(b + 125)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 84797790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1262247030 to the nearest integer?\nAnswer: 35528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/180*(3575\/(-50) + -1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102\/(-4)*-5*(-2)\/(-5).\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-4)\/10))\/((-1)\/(53\/((-477)\/(-126))))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**5 + b**3 - b**2 + b - 1. Let c(k) = 8*k**5 - 4*k**4 + 4*k**3 - 2*k**2 + 6*k - 6. Let d(f) = c(f) - 6*g(f). Suppose d(l) = 0. What is l?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 2*g - 7. Let n be s(8). Suppose -3*a - 8 = -n. What is the highest common factor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:35 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3601*s**3 - 3*s**2 + 8*s - 7. Let q be x(1). What is the greatest common factor of 118 and q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2565315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 17. Let r be y(-3). Solve 8 = -4*v - z + r, -2*v = 2*z - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -121644.66 and -5.\nAnswer: -121649.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667337618?\nAnswer: 2, 3, 5179, 53657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619417 + -27.8?\nAnswer: 4619389.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -19*l + 10. Suppose 3*d - 4*y = 30, l*d + 3*d = -y + 50. Which is smaller: d or 43\/5?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 159*l + 1610. Calculate the remainder when 1270 is divided by d(9).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2699 and -217915.5.\nAnswer: -217915.7699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.392 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 612116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -2) + 3 + -88 + 84 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 16, p: 2}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 8 - 1)*(-1 + 1 + 2*u) to n + r*u and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 186917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d + 8. Let o be f(8). Let k be o\/(3 - 1 - 0). Let c = -14 + k. Solve 0 = -g - r, -2*g - 6 = -2*r + c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(((-15264)\/128)\/159)\/((-9)\/402)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n = -6. Suppose 0 = 5*v - n*v, w - v = 50. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, -3, 10, -0.5, -4, 67?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186.231 - 186. Let k = 0.318 - h. Is 0.1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -2042?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 857*z**2 - 6*z - 13. Let m be v(-2). Let u = m + -1836. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 28. Factor -12 - 3*t**4 - 9*t + 9*t**2 + 17*t**3 - t**3 + 6*t**2 - d*t**3.\nAnswer: -3*(t - 4)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.0575kg in tonnes?\nAnswer: 0.1160575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -673 + 605. Solve 44 = -16*i - v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.442372 * -60\nAnswer: -26.54232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491235?\nAnswer: 3, 5, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.044407264\nAnswer: -0.0044407264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - -1.15.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205*p**3 + 217 - 217)*(-6*p + 6 - 2*p - 5).\nAnswer: -1640*p**4 + 205*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -286, -24441?\nAnswer: -24441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 4*i**2 - i**2)*(-9*i - 218*i**2 + 8*i + 1036*i**2) to p*i + g*i**2 + v*i**4 + z*i**3 + r and give v.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let v(l) be the third derivative of l**7\/1008 - 11*l**5\/30 - 16*l**2. Let j(w) be the third derivative of v(w). Give i(j(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, 450, -2 in descending order.\nAnswer: 450, 324, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.34842 millilitres to litres.\nAnswer: 0.01034842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1189*d + 392*d - 537*d + 2*d - 2*d - d + 0 + 0 - 2*d + (d - 5*d + 2*d)*(-1 + 2 + 0) - 4*d - d + 2*d)*(d**2 + 0*d**2 - 2*d**2).\nAnswer: -1036*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - 65. Let o be l(16). Suppose 0*s - 5*s + o = 0. Solve s*w = 40 - 34 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine fifths of a millennium?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -38) + (-29 - -2 - -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-259762\nAnswer: -129881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/(-5))*(-18)\/(-45). Is ((-29)\/(-87))\/(z\/30021) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 1789*q**2\/4 - 1390077*q\/4 + 4662 = 0.\nAnswer: 24\/1789, 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5 + 22. Suppose 0 = -3*p + 3 - o, -3*i = p - 16. Suppose i*u = u. What is u rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 - d + 13. Let w = -54 - -60. Let l be p(w). Suppose r + 2*s - 26 = 0, r + 3*s - l*s = 50. Is 34 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 12*b - 10. Let z be m(13). Let r**3 + r**z + 6*r**2 - 3*r**4 + r**3 = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 13*n - 13*u - 65, 6 = n - 3*u - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19159341 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 18*h**2 - 41*h - 2*h**3 + 9*h**2 + 0*h**2 + 37*h + 10*h**2 as g + z*h + c*h**2 + y*h**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let h = 94 - r. Suppose 4*n = 4*s + 68, 13*n - 9*n - 2*s = 72. What is the greatest common divisor of h and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378432 (base 9) in base 16?\nAnswer: -37f8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)\/d)\/(d*d\/(d*d\/(d**(-6)*d*d*d)))*((d**(-1)*d)\/d)\/(d*d*d**3)*(d**(-1\/5)\/((d\/(d\/d**(-5)*d))\/d))**(1\/40) assuming d is positive.\nAnswer: d**(-749\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5 - 5*j + j**2 + j - j + 0*j. Let p be m(4). What is the closest to p in -3, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 149. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6665906 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 387\nAnswer: -116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/2, -0.4, -5 in decreasing order.\nAnswer: -2\/11, -0.4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 10*d**2 - 11*d + 8. Let x be p(11). Suppose -g + x = 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/6 + 6. Find p such that u(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.2, 1\/210, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 14a50092?\nAnswer: -14a5008b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(2) - sqrt(2)) + -5 + (sqrt(2) - sqrt(12)\/sqrt(6)).\nAnswer: -5 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 p, and 1 y when four letters picked without replacement from dspzzpyzyzyszxspzsxy?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r. Suppose -4*j + r*j + 92 = 0. Let z(y) = 3*y**3 - 3*y**2 + 3*y - 5. Calculate the remainder when j is divided by z(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 1, e: 1}. What is prob of picking 2 e and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i**2 - 41*i - 5. Let q(b) = 40*b. Determine q(x(l)).\nAnswer: -480*l**2 - 1640*l - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a, d + 22*a - 27*a + 40 = 0. Suppose 0*l + u = -2*l, 5*l = -3*u. What is the common denominator of (l - -4) + (5 - 12\/d) and 34\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8519\/157 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/15 + 11\/75. What is the closest to 0.1 in -0.2, i, -1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743771 to the power of 1\/2, to the nearest integer?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*v - 20*v - 238 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(126)\/(sqrt(847)*-2))\/(sqrt(864) - 1*sqrt(864)*1 - sqrt(864) - ((sqrt(864) - -2*sqrt(864)*1) + sqrt(864))).\nAnswer: sqrt(3)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -580 divided by -116\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2194.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.4 (c) 8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -13*c + 7. Let s(i) = -3494*i + 10484*i - 1 - 3496*i - 3503*i. What is r(s(w))?\nAnswer: 117*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 - 9*s - 8. Let v be b(-5). Let r = v + 543. Suppose -r = -3*q + 796. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216477 is divided by 330?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 8) in base 12?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3 - 65697405*b + 338961390?\nAnswer: 9*b**2 - 65697405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953 a factor of 390841590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8355, -9\/11, 0.2 in ascending order.\nAnswer: -1, -9\/11, 0.2, 8355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12937\/8 + -1613. What is the common denominator of 55\/6 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26665738 + 94362?\nAnswer: 26760100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 3*i**2 + 4*i + 2. Let h be y(-2). Let q = -3 - h. Is 538\/8 + q\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -210433 and 5.862.\nAnswer: -210427.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 50\/20. Let s be (-4)\/6 - 100\/(-147). Let l = s - 449\/588. What is the smallest value in q, l, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 - 6*r**2 + 21*r**2 - 3*r**2.\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/1087 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + sqrt(36)\/sqrt(2) + -4 + ((sqrt(18) - sqrt(18)*-1)*4 - sqrt(18)))**2.\nAnswer: -288*sqrt(2) + 1192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 9*h. Suppose 885 = 5*q - h*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 11*z - 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-3)*u\/u**(-2\/21))**(-2\/27) assuming u is positive.\nAnswer: u**(-256\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 10. Let u be ((-24)\/40 + 1)*10. Let l(y) = 22*y - 42. Let n(t) = u*l(t) - 18*a(t). Calculate n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 384\/576*(-1)\/((-21)\/(-9))*1. What is the closest to l in 4, 0.4, -1906?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53056337 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -8, -2\/23, -2, 2\/7, 2\/19, 5\/67?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -46, -128, -284, -538?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356878542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 4*m**3\/3 - m**2\/2 + 2*m - 11. Let s(k) = 13*k - 40*k + 8*k**2 + 13*k - 13 + 17 + 12*k. What is 5*f(i) - 2*s(i)?\nAnswer: 4*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -826, -2585, -5478, -9505, -14666, -20961?\n\"Answer: -567*h**2 - 58*h - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 1 (c) 0.1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/2 - n**2\/2 - 12*n. Calculate z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 156 + 170161?\nAnswer: 170337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from kzekkmkm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 521223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-25256)\/700 - -44) + 8*-1\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -208 + 210. Suppose h*v = a + 13, -5*v = -34*a + 32*a - 30. Let s(z) = -8*z**3 - 5*z**2. Let w(l) = l**3 + l**2. Let r = 2 - 3. Give a*w(f) + r*s(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 5. Let b be r(2). Suppose 5*k - 4*l + 0*l = 22, -b*l + 6 = 0. Solve 0 = -0*z - z - 5*h - k, -28 = -5*z + 4*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-23))\/k*k\/(k**(2\/15)*k*k*k*k) assuming k is positive.\nAnswer: k**(328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (101*w**2 - 88*w**2 - 141*w**2 + (-w**2 + 3*w**2 - 3*w**2)*(4 - 13 + 4))*(2*w - 3*w + 4*w - 4) as b*w**3 + d*w + p + n*w**2 and give n.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -4569263.\nAnswer: -7767747.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 + (7 - 102\/6). Solve 8*f + 0*f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228426029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (41 - 15 - -51).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 4*c**2 + 319*c - 118. Calculate r(-14).\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-22)*(-4)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -0.1 (c) 0.02 (d) -1\/3 (e) 874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 292 - 2*t - 61 - 94.\nAnswer: -2*t + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, 1 u, and 1 o when four letters picked without replacement from vuquuuoqqpuu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1599 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 9. Let c(w) = w + 4. Let m(h) = -9*c(h) - 4*t(h). Let f(s) be the first derivative of s**2 + 21. What is m(f(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*((-4 + sqrt(320))*-5 - (sqrt(320) - (1*sqrt(320) + -2))).\nAnswer: -720*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*v - 110 = 20*j - v + 233, v = 6*j + 105 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 20*x + 140 = 0. Calculate the remainder when 104 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -217 - 180*d + 184*d + 135 - 180 as b + x*d and give b.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/195 and 82\/255.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 140?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(63)\/(sqrt(72)\/(sqrt(8) + sqrt(32)\/sqrt(4))) - -5*sqrt(252)*-2*-6.\nAnswer: -5 + 362*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 18*n - 28 = -4*i, -4*i + 2*n = -16. Let h(z) be the first derivative of 14 + 1\/4*z**4 - 4\/3*z**3 + 2*z**i + z. Determine h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3901880623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 4*c - 9. Suppose -10*x = -9*x - 3. Suppose 0 = 5*l - 2*f, -6*f + 3*f = x*l. Let k(a) = -a**2 + 7. Let j be k(l). Give r(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*i**3 - 5*i**3 - 15*i**3 - 6*i**3.\nAnswer: -192*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1323.4 + -1323.4. What is the nearest to -4\/5 in 16, 0.02, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48.42 from 6835.\nAnswer: 6883.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15300 and 299676?\nAnswer: 22475700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7*16\/(-1512)*-6*1\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8489 + -8508 + -21 + -1.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 270556271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/10))\/p)\/p**0)**(-43) assuming p is positive.\nAnswer: p**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2551 + 6639. Is m a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o + 44. What is the highest common factor of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24533*c - 13296*c - 14463*c - 3*c**2.\nAnswer: -3*c**2 - 3226*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9011\/40 or -225?\nAnswer: -9011\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16956 and -0.134.\nAnswer: -0.02272104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 18*u**2 + 2*u + 20. Let t be i(18). Let a be (-992)\/t - (-2)\/(-7). Let n = a + 22. Solve 0 = n*h + m - 2*m + 22, -4*m = -h - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 2)*(-2*t + 2*t - 3*t) in the form r + d*t and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52\/21 - -15\/7. Let y be -1 + -1 - (-3)\/6. Which is the nearest to 1? (a) -1 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -195*l - 595. Calculate r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**6\/20 + q**5\/5 + 172*q**3 - 267*q**2 - 2*q. What is the first derivative of x(i) wrt i?\nAnswer: -18*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415224?\nAnswer: 2, 3, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 - -3*((-39)\/234)\/(2\/(-4)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:34 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 26 = -5*h, -5*r + 14 = 3*h - 0*h. Suppose r*s + 20 = 9*s. Suppose -s*u = -59 - 201. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1251 = 10*g - 879. Calculate the remainder when g is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(300) - 2*sqrt(300)) + sqrt(300) - sqrt(300) - (-2 + sqrt(300))*-4)**2 + -5.\nAnswer: -240*sqrt(3) + 2711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b = -306*b + 5656 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -760.00754 - -760. Round q to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3563, -3573, -3605, -3671, -3783?\n\"Answer: -2*q**3 + q**2 + q - 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*g + 142*g - 8*g)*(0*g - 2*g + 0*g)*(-4*g + 4*g + 2*g**3).\nAnswer: -724*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/15 + 1\/5. Suppose -4*s + 36 = -4. Suppose -3*y + 18 = -3*g, -2*g + 5*y = -5*g - s. Which is the smallest value? (a) 0.4 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 1, s: 1, d: 1, q: 4, u: 5}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155945043 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*f**2 - 2*f**3 + 670580 - 670580 as m*f + j*f**3 + t*f**2 + v and give t.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 - -24 - (-183)\/(-12). Sort -203, c, -5 in increasing order.\nAnswer: -203, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2365.34 + 2374. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 18 - (12 - (10 + -3))) + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2. Let q(u) be the second derivative of 16*u**3\/3 + 309*u + 3. Calculate g(q(y)).\nAnswer: -5120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 12:57 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 - 12*p - 254. Is r(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2 + 2*r**2 + 2. Let b(j) be the third derivative of j**5\/20 - 2*j**2. Determine b(x(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**(2\/53)\/(q*q**(2\/3))**(-3\/17))\/(((q\/q**(-2\/3))\/q)**(-3\/22))**(-1\/6) assuming q is positive.\nAnswer: q**(12101\/59466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + 0.15. Which is the nearest to s? (a) -4 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*g - 6. Solve 1 = a - 2, 3*r - g = a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*h - 740, 4*h - 96 = -2*u + 184. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6 = 3*t. Let b = t - -7. Suppose 3*u = b*n - 0*u - 62, 0 = 3*n - 5*u - 34. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-70)*4 + (-10)\/(-14). Suppose 3*y + 4*v = 3, 2 - 5 = -3*y - 5*v. Is 3 a factor of (k - 2\/y)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 6}. What is prob of sequence dde?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4092 divided by 2\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8335 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -11 - (1 + -10). Suppose f = -2*f + 60. Solve -2 = -v*m - 5*y, 2*m = 5*y + 6 - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d**5 + 30*d**4 - 27*d**3 - 12*d**2 = 0 for d.\nAnswer: -4, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 6. Let y = -3 + j. Solve 0 = -5*q - 4*b - 17, 4*b - 7 = y*q + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 12, -2, -385, 11 in increasing order.\nAnswer: -385, -4, -2, 5, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (465\/21 - -2) + (-48)\/(-56).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8)*(-16)\/(-6). Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -62*(-1)\/(-22). Let u be (-18)\/(-5) - ((-164)\/(-42) - 28\/(-294)). Which is the closest to -14? (a) u (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4158 and -4?\nAnswer: -16632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca4a (base 15) to base 5.\nAnswer: 2332240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zarjj. What is prob of picking 1 r and 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -36. Let f be 3 + -5 + (-20935)\/(-9). Let v = f - 2328. Find the common denominator of v and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -562*q**2 + 187170*q - 7607604.\nAnswer: -1124*q + 187170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1329957.\nAnswer: 2659914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7524782 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 367*a**3 + 4 - 362*a**3 + 3*a)*(64 + 23*a - 64).\nAnswer: 115*a**4 + 69*a**2 + 115*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5048652?\nAnswer: 2, 3, 7, 60103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:08 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkakkakkkkkkk. Give prob of picking 1 k and 2 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o = 5*q + 30, -5*o - 15 = 0. Is ((-52)\/4)\/(1\/q) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*j + 71 - 216 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1636 - ((-16)\/2 + 4)) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 - 3 + 4 - h**2 = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 40. Suppose 2*m + 4*w - 3*w = -12, -5*m - 4*w - j = 0. What is the units digit of 4\/m*-6 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 6045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*12\/27. Let k(d) be the third derivative of d**2 + 0*d - w*d**3 + 1\/8*d**4 + 1\/60*d**5 + 0. Give k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:27 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616 (base 8) to base 3.\nAnswer: -112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43\/2 - 1\/(-2). Suppose 5*r - 3*b = 119, -34 + 0 = -r + 4*b. Calculate the highest common divisor of r and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 4*w**2 + 6*w + 3. Let n = -10 + 4. Let l be (n - -11)\/(0 - 1). Determine x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/514305 and 49\/822888?\nAnswer: 4114440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31*j. Let x(y) = -7*y**2 - 15. Give s(x(r)).\nAnswer: -217*r**2 - 465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 42*p**3 - 15*p - 15. Let z(x) = -x - 1. Suppose -1366 + 1528 = 81*k. Determine k*y(d) - 30*z(d).\nAnswer: 84*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-40)\/44*(-209)\/95*5). Factor j*x**2 + 12\/5 - 2*x.\nAnswer: 2*(x - 3)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**4 + 2*r**4 + 2*r**4 + (r**2 + r - r)*(2 - r**2 - 2) - 76*r + 76*r - 25*r**4 + (4*r**3 - 5*r**3 - 2*r**3)*(4 - 2 - 3)*(-8*r + r - r).\nAnswer: -51*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c**2 + 17. Let a(z) = -4*z**2 + 4. Calculate -9*a(w) + 2*o(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*d**2 + 901*d**2 + 940*d**2 - 2743*d**2.\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -164*j + 153*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 + 10*s + 11. Suppose -l + 4*x + 10 = 3*x, 0 = 4*l - 3*x - 39. Give h(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4581836213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 3*q**2 + 0*q**3 + 0*q + 0*q**6 + 4\/105*q**7 + 0 + 1\/24*q**4 + 0*q**5. Find the second derivative of h(k) wrt k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + w**5)*(0 + 1 - 7).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 93?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2001236 is divided by 436.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31509668 divided by 4\nAnswer: -7877417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36.919 + -0.081. Let k = h - -36. Which is the closest to 0? (a) k (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18425?\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (72\/(-7))\/(-1)*(8\/30)\/((-266)\/(-931)). Solve -2\/5*s**2 - a - 10*s = 0 for s.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88850?\nAnswer: 2, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15245.5 and -2836.\nAnswer: -43236238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8791187 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*h + 5*q + 7, 2*q + 6 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 237787481 and -415?\nAnswer: 237787896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 + 18 = 3*a, x + 7 = 5*a. What is the least common multiple of 8 and ((-1)\/x)\/(6\/(-1170))?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 1610?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -59906*t. Let s(g) = 278*g. What is -5*p(l) - 1078*s(l)?\nAnswer: -154*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1\/5)*z)\/z)\/z**(1\/6))\/(z**(-8)\/z*z**(-2\/7)))\/(z**(13\/5)\/(z**(-11)\/z))**14 assuming z is positive.\nAnswer: z**(-41051\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**2 + 1562*l - 128. Does 27 divide f(68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16029181 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -667 + 321. Do 2\/3 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*c + 2*c = -287, -t = -3*c - 71. Let v = t + -31. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -14. Suppose -x - q = -2, -2*z - 5*x = -453. Is 28 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.639986176 + -2.64. What is x rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 58*p**2 + 7*p - 44. Let i(o) = 230*o**2 + 29*o - 199. What is -2*i(h) + 9*y(h)?\nAnswer: 62*h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.041 and 64387.\nAnswer: 2639.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13627 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -7*w**4\/24 + w**3\/3 - 9*w**2\/2 + 22. Let m(t) be the second derivative of h(t). What is m(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -13852244\/15, -3.\nAnswer: -13852244\/15, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/6) - 2. Let o(v) be the second derivative of v**3\/2 + v**2\/2 - 322*v. Let m(p) = -p - 1. Give c*o(b) + 2*m(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/5, -3, 1478, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 3. Let w(u) = 3*u**2 - 2*u - 2. Let n be w(-1). Let l(v) = -2*v + 2. Calculate n*k(p) + 4*l(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q - 3*r, r - 2 + 4 = 0. Suppose -6*w + q = -10*w. Is w <= -2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -794 divided by -14071?\nAnswer: 794\/14071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 16. Let z be (-98)\/(-21) + 20\/(-12). Let c = g - z. Let t(r) = -r**3 - 5*r**2 - 2*r - 4. Determine t(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -40. Let o = -44 - -11. Let m = g - o. What is the nearest to m in -0.4, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/1836)\/(((-208)\/(-39))\/4).\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/(-15) + -5 - (2\/4)\/((-16)\/(-96)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4886*w = 4884*w - 4*m + 4830, 0 = -3*m - 18. List the prime factors of w.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/5 + 9056*x\/5 - 9057\/5 = 0. What is x?\nAnswer: -9057, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 675, 0, 1 in decreasing order.\nAnswer: 675, 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50699568?\nAnswer: 2, 3, 1056241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 21*g + 46 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 - 2\/3*x**4 + 0*x + 0*x**5 + 6*x**2 - 1\/40*x**6 + 0*x**3. What is the second derivative of s(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 17*s + 25. What is z(21)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 1, k: 13}. Give prob of sequence umk.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + 3. Let b = 140 - u. What is the remainder when b is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.899948 + -2.9. What is c rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmo when three letters picked without replacement from mooopmookkmpmooom?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 12) to base 16.\nAnswer: -873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223573 (base 11) in base 6?\nAnswer: 11344234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7102021 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 0.68, 409 in decreasing order.\nAnswer: 409, 0.68, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 4627*d = 4649*d + 66, 5*d = 5 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:59 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 + 11*r**2 + 3*r + 5. Let i(x) = -8*x**3 - 12*x**2 - 4*x - 5. Calculate 6*d(t) + 5*i(t).\nAnswer: 2*t**3 + 6*t**2 - 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -154*u**3 + 63*u**2 + 63*u + 63. Let w(v) = 5*v**3 - 2*v**2 - 2*v - 2. Determine 2*o(s) + 63*w(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68570416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let f = -77 - 10. Let t = 106 + f. What is the remainder when t is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05 and -3413.899.\nAnswer: -3413.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/108)\/((6\/(-56))\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45585169 is divided by 670370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3543477235.\nAnswer: 5, 37, 2137, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - 14. Let m = t - -173. Calculate the greatest common divisor of m and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/6)\/((-4)\/2700). Let d(k) = k**2 - 6*k + 4. Let m be d(6). Suppose 2*a + m*l = 202, 4*a + a - l = t. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.45353ns to seconds.\nAnswer: 0.00000007445353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r + 3. Let h = 24 - 26. Let i be f(h). Let q = 211\/540 - -1\/108. Which is the biggest value? (a) i (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -124*a - 407. Let g(r) = -2*r**2. What is x(g(o))?\nAnswer: 248*o**2 - 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 + 8. Suppose -3*o + 6 = -3. Suppose -o*y + 4*y = 0. Suppose v - 3 = -i, y = 3*i - 3*v - 0 - 39. Let a(p) = -p**3 + 3. Give i*a(g) - 3*x(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/9)\/4*33. Let l(t) = 9*t - 6. Let q(f) = -2*f + 1. Let k(s) = h*q(s) + 2*l(s). Differentiate k(d) with respect to d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 1. Let n be c(-9). Let l = 12 - n. Let b be 14000004\/(-10) + l\/10. Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/26*144\/(-108)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -8. Suppose 8*u - 17 = -1. Suppose -3*r + 880 = u*r. Calculate the greatest common factor of p and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -1, -23, -4259, 1 in decreasing order.\nAnswer: 1, -1, -23, -40, -4259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 14 - (-94 + 87)) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2619.73545 + 2619. Round r to 2 dps.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-55) + (-90)\/(-165).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b + 1. Let v be t(-3). Suppose 3*p - v*d = 8, 2*p - 3 - 1 = 2*d. Differentiate 4*j - 3 + 1 - 2*j + p with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r. Let x = -2 + 2. Let t = x - 5. What is the tens digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -793*a**2. Let b(j) = 246*j. Give b(r(u)).\nAnswer: -195078*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t**4 + 807*t**3 + 8388*t**2 + 23868*t.\nAnswer: 3*t*(t + 6)**2*(4*t + 221)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84)\/sqrt(4) + sqrt(21) + 6*sqrt(105)\/sqrt(5))\/((2*sqrt(108) - sqrt(108)) + sqrt(108) + 2*sqrt(147)))**2.\nAnswer: 847\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/21)\/((-2)\/(-4)). Let j = 43 + -43.4. Put j, -0.5, b in decreasing order.\nAnswer: b, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64627.94*-0.082.\nAnswer: 5299.49108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/11))**(-2\/67))**(-11\/4) assuming j is positive.\nAnswer: j**(2\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-52)\/429*11\/(11\/(-18)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6098.155 rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 2*o**2 - 2*o. Let j be s(3). Suppose -p = -j*p + 30. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-8))\/(29\/(-232)). Let s be (4\/(-3))\/((-12)\/14). Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.07? (a) -1\/6 (b) -1\/5 (c) -185 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50324166 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 3:34 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 820\/(-123)*-1*24\/(-10). Let n(i) = -i - 4. Calculate the remainder when (-4 + (-15)\/(-5))*-19 is divided by n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**6\/105 - r**5\/7 - r**4\/6 + 6*r**3\/7 - 551*r. Factor x(g).\nAnswer: -2*g*(g - 1)*(g + 2)*(g + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*r + 234*r + 472 = 0. Suppose 4*o = -0*o + 156. Let a = -24 + o. What is the remainder when a is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1809 is divided by 194.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*v + 95, -7*h = -3*h - 4*v - 116. What is the greatest common factor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -28*h + 12. Let q(i) = i - 1. Let w(j) = a(j) + 12*q(j). Let b(f) = -f. Determine b(w(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (17 - (4 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwzzccwccw. What is prob of picking 3 c?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - 2.13. Let z = q + 3. Which is the second smallest value? (a) z (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3467 divided by 9?\nAnswer: 3467\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by 266.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -3 + -34 + 68 + -26\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42 - 39 - (-3 - -8). Which is the third biggest value? (a) 2 (b) t (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - (2 + 13 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/360*8*(-2)\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121433 (base 6) to base 3.\nAnswer: -112202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/((m**(1\/11)*m)\/m*m))\/m))**(-44))**(2\/73) assuming m is positive.\nAnswer: m**(-184\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47808 and 1162.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 27*c**3 + c**2 - c + 1. Suppose 2*y = t + 6, -60 = 5*y + 3*t - 53. Give p(y).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1702*h**2 + 847*h**2 + 8979*h + 858*h**2.\nAnswer: 3*h**2 + 8979*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -0.1 (b) -58 (c) 4\/5 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 32780*u**4 + 12*u**3 + 196664*u**2 - 262234*u + 98340 = 0. Calculate u.\nAnswer: -16390, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1, 0.5, -2\/5 in decreasing order.\nAnswer: 1, 0.5, 2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2765534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2394 <= 362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 + 990*v - 135315 = 0. Calculate v.\nAnswer: -291, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2870 and 7894550.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -124. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 910883153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 112.4117202 and 146922.\nAnswer: 147034.4117202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*((2 - 41) + 3). Suppose -j = -i - 16. Let w(a) = -3*a**3 - 2*a**2 - 3. Let t be w(-3). What is the greatest common divisor of t and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 + 3. Let q(c) be the second derivative of 0 + 0*c**2 + c + 0*c**3 + 5\/12*c**4. Calculate b(q(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 47*k**2 - 371*k + 571. Calculate n(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 668250 and 26730.\nAnswer: 668250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4329)\/5 - ((-736)\/(-80) + -9). Let b = o + 1544. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/2310 + u**6\/440 - u**5\/330 + 13*u**2. Factor t(h).\nAnswer: -h**2*(h - 2)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*h - 11. Calculate the greatest common factor of 4 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 42 + 63. Is d\/28 + (-2444)\/(-16) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83048091 to the nearest integer?\nAnswer: 9113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w - 9*w**5 + 5*w**5 + 2*w + (-4*w**4 - 3*w**4 + 4*w**4)*(20*w + 12*w + 24*w).\nAnswer: -172*w**5 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 18*t + 69. Let a be b(12). Let o(w) = w**3 + 2*w**2 - 13*w - 28. Let p be o(a). Solve 0*d = -p*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {p: 1, c: 1, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 610715?\nAnswer: 1221430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-67)\/335)\/(160\/75 + -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 24*i**3 - 5*i**2 + 2*i + 5. Let s(y) = 35*y**3 - 7*y**2 + 3*y + 7. Determine -7*k(f) + 5*s(f).\nAnswer: 7*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 6. Let o be k(-4). Let b(h) = -6 - 2 + 6 + o*h. What is the tens digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = -0*h + 2*f, 3*f = -h + 6. Let n be (-1)\/(-2)*2\/h. Suppose 3*i = 5*l - 17 - 3, -5*l - i + 20 = 0. What is the third biggest value in -4, l, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**7\/c))**(-47)*(c**(1\/3))**(-1\/7) assuming c is positive.\nAnswer: c**(3947\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g + 7. Let h(p) = -p - 1. Suppose 2 = 3*d + 5. Suppose 4*x + a = -29, -5*a - 26 = -2*x - 13. Calculate d*y(u) + x*h(u).\nAnswer: -5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*i = -2 - 9, -3*j + 2*i = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 5, -151079\/114?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rojo when four letters picked without replacement from oggfgjjojgrjgjjj?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/6 - -6)*(-15)\/75?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1416 (b) -5 (c) -0.2132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 28*j + 7. Let d(y) = 29*y + 7. Let b(o) = 6*d(o) - 5*n(o). Let g be b(7). Suppose -r = -5*l + g, -3*l + 49 = -2*l + 4*r. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let u be h(3). Let j = 21 - 20. Suppose q - u*f + j + 2 = 0, 0 = 2*q + 2*f + 6. Sort 3, -1, q in ascending order.\nAnswer: q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -m - 2, -2 = -m - n + 4. What is the second derivative of -30*z + 12*z**4 + 10*z**4 + 16*z**m + 10*z**4 wrt z?\nAnswer: 576*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - 98*i**2 + 277*i - 355. Is b(-94) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, s: 4, b: 1, f: 5}. Give prob of picking 2 l and 1 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21793.\nAnswer: 19, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -46) + (-4 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 12*l - 41*l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/8)\/(w*(w\/w**(3\/4))\/w*w)*((w\/((w\/((w\/(w*w**(-2\/25)))\/w))\/w)*w)\/w)\/(w*(w**(-2\/7)\/w*w*w*w)\/w) assuming w is positive.\nAnswer: w**(-4563\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 49 = -2*q. Let t = -27 + q. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/(-12)) - -1. Suppose -4*c + i = -15. Suppose 2*a + 2*q - 28 = -a, -c*a + 50 = 4*q. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - u)*(3*u + 4*u - 6*u)*(u - 3*u + 3*u)*(-4 - 1 + 0).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 263749 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/35)\/((-1)\/5). Suppose -5*b + u*i + 290 = 0, -4*i = -2*b + 118 + 14. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(-1 - 1 - 2 + (-1 + 0 + 2)*(3 - 3 + 1))*(-4*r + 4*r - r) as c + n*r and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(-3 + sqrt(17) + 0))**2*2 - -6*sqrt(187)\/(sqrt(176)*4)*4.\nAnswer: -93*sqrt(17)\/2 + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1314143224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2.6315807 days?\nAnswer: 0.3759401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.38 + -28. Let x = q - 0.38. Is x not equal to -11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 19 = 3*p, 1275 = 2*p - 5*d + 1270 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377.357 - 1.12.\nAnswer: -378.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -1088, -3491, -8204, -16031?\nAnswer: -27776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**3 - 1428636154*n**2 + 2857272309*n**2 - 1428636155*n**2.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*m + 116*m - 6. Does 4 divide ((-6)\/m)\/(-1*1\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 4*a**2 - 4*a - 5. Let g be k(5). Suppose g = -7*s + 2*s. Solve -2*z = 5*h - 18, -2*h + 5 = 3*z - s*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*y - 63. Let a(z) = 48*z - 3857. What is the remainder when a(82) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:55 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnnqqqqrssqssnqrsss. Give prob of sequence qrq.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 729511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2 - 10*k + 17*k)*(1 - 2 - 5).\nAnswer: -12*k - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*l**6 + 5*l**2 + 4*l wrt l?\nAnswer: -15360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1233, -2470, -3717, -4980, -6265, -7578?\n\"Answer: -g**3 + g**2 - 1233*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7182 and 507870?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145341 - -585497\/4. Let j = -1008 + u. Find the common denominator of j and (-1)\/1 - 103\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 909, 1055, 1179, 1275, 1337, 1359?\n\"Answer: -v**3 - 5*v**2 + 168*v + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2804*r - 100 = -2814*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + m = -z + 7, 1 = -2*z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*9\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3242169*-4\nAnswer: -12968676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -169, -171, -173?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 282 + -175. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693108491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -581? (a) -4.5 (b) 0 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1726940 divided by 395.\nAnswer: 4372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 43.\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/(-9) - (-12)\/54. Suppose -o + 8 = k, 5*k + 6 - 1 = q*o. Let c = -261 - -261. What is the third smallest value in -0.08, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1025424713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 94 = -4*l, -3*t - 82 = -4*l. Suppose -5*c + l = p, -7 = c + 3*p - 3. Let x(z) = 3*z + 1. Let q(b) = -7*b - 3. Calculate c*x(v) + 2*q(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 161. Let y(b) be the first derivative of -1\/2*b**2 + 3 + 4\/5*b**5 + 0*b**3 + 0*b**l + 0*b. What is the second derivative of y(j) wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a + 54 + 78 = -0*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162429 and 39207.\nAnswer: 1137003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*d - 3 = 0, 5*m + 5*d = -527 + 492 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(11 + 1 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 81, -10 in decreasing order.\nAnswer: 81, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 18. Let w(j) = j**3 - 7*j**2 + 7*j - 9. Calculate w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 9*k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 plus -7930?\nAnswer: -9491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2616, 4852, 6704, 8172, 9256?\nAnswer: 9956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1375577 (base 9) to base 11\nAnswer: -478a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374 or 375?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9170401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 - 2?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*s + 3)*(5 + 0 - 2 - 5 + 2 + 2 - 5 - 1 + 4 + (3 - 3 + 1)*(4 - 4 - 1) - 3 - 2 + 4 - 6 + 2 + 2 + (1 + 1 - 1)*(-2 + 2 - 2)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/12 - 11\/(-3). Suppose t - 4*h - 8 = 0, 2*h - l*h + 18 = t. Calculate the greatest common divisor of t and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -22ab?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**8\/v*v)\/((v\/(v**(-27)\/v*v))\/(v*v**(6\/11)\/v)) assuming v is positive.\nAnswer: v**(-170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -68*w - 1342. Calculate o(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*f**2 + 0 - 4\/3*f**4 - 4\/3*f**3 + 0*f.\nAnswer: -4*f**2*(f - 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70515?\nAnswer: 3, 5, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 112 = -9*w. Suppose w*h - 159 = 11*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by 67\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -1675*d**2\/2 + 50*d - 160. Let z be i(10). Round z to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 - (60 - 50) - 38?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 448\/(-36))\/(-2)*306\/12\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcyw when four letters picked without replacement from {m: 2, c: 1, y: 4, h: 1, w: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9249 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b = -88*b + 1513 + 626 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2. Let j(s) = -3*s**3 - 9*s**2. Let t = -73 - -82. Let b(o) = o**2 - 11*o + 17. Let w be b(t). Calculate w*j(x) + 4*u(x).\nAnswer: -x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 equal to 432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 25*x - 98. Let p(i) = -71*i + 295. Calculate 6*p(g) + 17*q(g).\nAnswer: -g + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 1:42 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 8. Determine n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - 3*b)*(2 - 4 + 1)*(9 + 6 - 21) + (-3 - 2 + 2)*(3*b - 4*b - 2*b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -20 (c) 1\/7 (d) 0.4 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-728)\/(-2)))\/(126\/(-735)*(-310)\/(-744))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**4 - 5*z**3 + 5*z**3 + (14 + 12 - 24)*(-7*z**3 + 7*z**3 - 6*z**4) to f*z + t*z**2 + s*z**4 + l + q*z**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 3 + (-24)\/(-4) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3*c + 2*c**4 + 3 - 8*c**3 + 12*c**2 - 2 - 11*c = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 82, -11 in ascending order.\nAnswer: -41, -11, 82","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-216)*-2*6\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1748749*v**2 - 9*v**3 - 1748749*v**2 + 2*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -34. Suppose -3*t - 2*j + 16 = 0, 2*t - 6*j + 2 = -j. Solve t*i + z = 5*h, -i + 4*h - 4 = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i + 10 + 10. Suppose -i = t - 5. Solve -3*v - 3*r - 3 = -0*v, -3 = -3*v + t*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22 + 0.22. Which is the closest to -7? (a) 0.1 (b) 3\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/20*(11 - (8 + 162\/(-36)))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3038*u + 84*u + 116*u)*(2 - 2*u - 2).\nAnswer: -6476*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 105\/6316?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-266)\/(-63) + 2\/(-9). Suppose -u*t - 6*x - 27753963 = -x, 3*t + x = -20815464. Let l = 3438487 + t. What is l rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 1. Let a(v) = 102*v + 44. Let n(t) = 36*t + 15. Let l(o) = 4*a(o) - 11*n(o). Determine -44*c(w) + 4*l(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/20, 1.5, 2\/7, 0.4, -2\/45?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2442*v + 2618 wrt v?\nAnswer: -2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 4*b + 1\/66*b**4 + 0*b**2 - 1\/33*b**3 + 0. What is m in p(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 11 = -0*v - x, 2*v = 4*x - 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202.326 - -0.326. Let v = o + 209. Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1539874, 1539874, 1539876, 1539880, 1539886, 1539894, 1539904?\n\"Answer: m**2 - 3*m + 1539876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**2. Let q(b) be the first derivative of -b**3 - 17. What is y(q(x))?\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 202\/25139?\nAnswer: 202\/25139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7515016 decades to centuries.\nAnswer: 0.07515016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 + 229. Suppose -2*i - 84 = -o, -o + a*i + 84 = 10*i. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/83367 and -44\/39.\nAnswer: 1083771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-3 + 5) - 2*-1. Does 39 divide (-753)\/j - (-24)\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*q**4 - 39*j**2*q - 14*j + 2*q**4 + 2*q**2 wrt q?\nAnswer: -12*j**2*q**2 + 24*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 313\/105 (c) -2 (d) -0.3 (e) 2 (f) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910709 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000000 (base 2) in base 5?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -61*v**5\/10 + 195*v**2\/2 - 181*v. Differentiate d(h) with respect to h.\nAnswer: -366*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102603 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2 = 22. Suppose 3*g = -s + 14. Suppose -g*q - 3*r + 1 = -2, -3*r = 3. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - k**2 + 2*k**2)*(4 + 0 - 2)*(-2*k + 2 - 2)*(57*k - 207*k + 95*k) in the form y + q*k**2 + a*k**3 + f*k + p*k**4 and give p.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0137638 rounded to four dps?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.1 - -16.157. Let z = v + 0.143. What is the closest to z in -1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -31*b**3 - 3*b**2 - 30*b + 6. Let w(v) = -34*v**3 - 4*v**2 - 36*v + 7. Let l(a) = 5*w(a) - 6*y(a). Give l(2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((sqrt(612) + sqrt(612)*-2)\/sqrt(12))\/sqrt(3) + -1)*-3.\nAnswer: 9 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -347*d**2 + 75*d + 339118 wrt d?\nAnswer: -694*d + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1.4. Sort 4, -0.03, a in decreasing order.\nAnswer: 4, -0.03, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2112022 (base 3) to base 5\nAnswer: -24334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 186. Let o be j(17). Let n be 5 + o\/((-49)\/231). What is the biggest value in -93, n, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 b, and 1 k when four letters picked without replacement from {k: 1, c: 1, l: 2, b: 2, r: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 1339*p**2\/8 - 335*p\/4 - 12065. Let i(h) = 0. What is h?\nAnswer: -335, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161 + -134. Let v be (-5 - -3 - -3) + 1. Let p be ((-27)\/(-2))\/(v\/12). What is the highest common divisor of p and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1052 = -144*q - 44 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 - 7*t + 2. Let b(i) = -3*i**2 - 10*i + 3. Suppose 7*w - 3*w = 180. Suppose 10 = -5*c + w. Give c*j(h) - 5*b(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152.21 and 826622206.\nAnswer: 826622053.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-seven halves of a hour?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -163, 5, 14, 0.4, -2.74?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 99*v - 101*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.167 times -0.23\nAnswer: 0.03841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/10 and -19\/10935780.\nAnswer: 10935780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 1749208. Let b(q) = -3*q. Determine b(n(j)).\nAnswer: -3*j - 5247624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z - 3*z - z)*(5*z + 5*z - 6*z)*(16*z - 53 + 53) to t*z**2 + c*z**3 + l*z + x and give c.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 14. What is o(13)?\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143.688 - 145.688. Let z = 27 - 18. Which is the second biggest value? (a) 0.3 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1404*q - 1529. Is i(49) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-4) + 47 + -4. Suppose 38*l - g*l + 489 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(252) + -2*sqrt(252)*-4 + -4 - (1 + sqrt(4032) + -1)))**2.\nAnswer: -6000*sqrt(7) + 157901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24280\/(-33385)*(-22)\/824\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/(-6) - (-10387)\/1222)\/3?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3593, 7218, 10843, 14468, 18093?\n\"Answer: 3625*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - z - 8 = 2*l, 5*l + z - 19 = 0. Suppose 49 = i + 3*i - x, -2*i = l*x - 7. What is the least common multiple of 2 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -4\/21 (c) 2\/5 (d) -0.07 (e) 2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 2. Let l(r) = 1366*r - 1376*r + 5 + 2. Let y(g) = 4*l(g) - 14*z(g). Suppose 0 = -2*j - 0*j - 6. Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 31. Let y be d(-27). Suppose 963 = 4*l + 3*w, 0*l - 2*l + 476 = -y*w. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*f + 338 = 0, -165 = -5*z + 2*f + 193. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -133*b**2 + 62*b**2 + 63*b**2. Let u(w) = -6*w**2. Calculate c(u(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -18, 23, 80, 153, 242?\n\"Answer: 8*p**2 + p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3034, -3059, -3084, -3109, -3134, -3159?\n\"Answer: -25*y - 3009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -230*y - 186160 + 199730 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 87855 (base 9) to base 11\nAnswer: 3a880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 152, -1, 4, 24 in decreasing order.\nAnswer: 152, 24, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24604 - 23720. What is the remainder when c is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-5)\/(-30)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1000222?\nAnswer: 1001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -167 - -359\/2. Let r = g + -13. Let y = -1.13 + 5.13. Which is the smallest value? (a) 0.05 (b) r (c) 1\/5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1173 - 1172.88. Let n be (-1)\/4 - 81\/(-36). Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 23. Let r = c + -22.00027. What is r rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3 + 56\/1. Suppose 2*x - l = -5*b + 72, -48 = -b + 4*x. What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iga when three letters picked without replacement from gzigaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 33*t - 55. Give q(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43795529.\nAnswer: 31, 1412759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:09 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - -3. Let u = o + 269. Is 55 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oso when three letters picked without replacement from {m: 1, c: 1, j: 5, s: 5, o: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -m + 4 - 8, 7*m + 17 = -4*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1775 + 1775. Which is smaller: m or -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 + 25*y + 6. Let u(x) = 11*x**2 - 74*x - 17. What is 17*d(j) + 6*u(j)?\nAnswer: -2*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3217\/1023 + 74\/31. What is the common denominator of -16\/5511 and n?\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0 - 50*v + 0*v**2 + 1\/3*v**4 + 1\/6*v**3. What is p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/3)))**(13\/5)\/(q*q\/q**(-3)*q*q**(-4)) assuming q is positive.\nAnswer: q**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3780 and 692118?\nAnswer: 6921180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75373681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12533184 equal to -12533185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 x when four letters picked without replacement from pxqxplx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -852\/35 + 38723\/140. Let j be 2\/(-2) - (259 + 1). Let l = d + j. What is the common denominator of 68\/3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358\/7 - 51. Put 4, h, -1, 0.065 in decreasing order.\nAnswer: 4, h, 0.065, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13435*a + 889 = 13308*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcnnrnhnnnrh. What is prob of picking 1 r and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:46 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -434 - -434.1. Put i, -6, 2\/7 in descending order.\nAnswer: 2\/7, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(120)\/sqrt(10)) + (sqrt(17) - sqrt(17)*4) + 4)**2.\nAnswer: -16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51\/6 - 1)*(8\/(-4) + 4). What is the greatest common divisor of q and 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 4:18 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/(-55) - (-14)\/77.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 - 2 = 0. Let l = 1 - -2. Suppose l*k = -k + 44. What is the remainder when k is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 3. Suppose -4*h = -3*h + 2. Calculate the remainder when 13 is divided by t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 4 + 18 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.2 + 3.8. Let n = f - 70.9. Let a = n - -5.9. Which is smaller: -0.3 or a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 27011952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3119575*z**2 - 2678901.\nAnswer: -6239150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*w = -784 + 3704, -3*l = 3*w - 2193. Let b be l\/2943 - 2\/9. Let m = b + 745\/654. Calculate the common denominator of -127\/18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:29 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(12\/(-40) + 1\/3). Let l(v) = -9 - 31*v**2 - 2*v + 58*v**2 + 3*v - z*v**2. Let a(i) = 3*i**2 - i + 8. Calculate 7*a(t) + 6*l(t).\nAnswer: 3*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*p - 20*p + 697 = 69*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7472762 - -1?\nAnswer: -7472761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*n - 11*n = -7209 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*w**2 - 29559 + 29559.\nAnswer: 457*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1241 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*u - 2*f, -2 = -0*f - f. Let r be 6 - 1\/(1\/(-3)). Let z(v) = 0 - u*v - r*v + 1 - v. Determine z(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17778409?\nAnswer: 11, 349, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5.5, -8, 3.\nAnswer: -8, -5.5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -28. Is 9\/4 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 9 - 3*h**2 + 4*h**2 + 5*h + 8. Let q(u) be the first derivative of 2*u**3\/3 + 4*u**2 - 6*u + 1. Let m(t) = 4*b(t) - q(t). Factor m(d).\nAnswer: 2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 9. Let v be r(13). Let c be 2\/(2\/(v\/6)). Let h = 0 - -3. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/91 + 27\/91. Let i = 37.15 + -9.15. Which is the nearest to u? (a) i (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85358277 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 + 4*c**3 - 2*c**3)*(342*c**2 + 78*c**2 - 60*c**2).\nAnswer: -720*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 3*o - 13*o)*(-3 + 0 + 5).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -25a276?\nAnswer: 25a278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/((-1221)\/(-370)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j**2 + 128*j**2 - 11*j**2 - 105*j**2. Let z(r) = r**2 - 4*r**2 + 7*r + r**2. Calculate z(x(m)).\nAnswer: -32*m**4 - 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 6\/(-8). Let t(w) = 2*w**2. Let a(s) = -s**3 - s**2 - s - 1. What is y*t(p) + 2*a(p)?\nAnswer: -2*p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76605, -76602, -76597, -76590, -76581, -76570?\nAnswer: -76557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 2, h: 4, i: 1, y: 3, g: 2}. What is prob of sequence gm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 52, -2\/3, 0.4, 1, -1\/3.\nAnswer: -12, -2\/3, -1\/3, 0.4, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 13*n = -24*n + 3168. What is the highest common factor of 308 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -1249\/14. What is the common denominator of (-33)\/(-21) + 1\/(-4) and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 1 + 5 - 2. Let w(p) = -p**3 + 3*p**2 + 9*p + 3. Let n be w(5). Calculate l(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/7))\/t*(t*t\/(t*t**(2\/21)\/t)*t)\/t)\/(t*t**1*t*t*t\/t**13) assuming t is positive.\nAnswer: t**(202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/158988 and 43\/6.\nAnswer: 158988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -245.4 times -0.1\nAnswer: 24.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -77 + (-411 + 413 - (-3 + 2 + (6 - 5)))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(8\/(-204)). Suppose u - 2*b = 50, 4*u - 3*b - 56 - 169 = 0. Let o = u + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 12*j**2 - 11*j - 72. Let p be u(-11). Is -30 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.19287281 to one decimal place.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 95 - 95.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**6 + 4160*p**5 - p**4 - 134562*p**2 - 2*p?\nAnswer: 120*p**3 + 249600*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8922140 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 + 8*g**2 + g - 7. Let f(k) = -2*k**2 - 2*k + 1. What is 4*f(p) + o(p)?\nAnswer: 7*p**3 - 7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 + 43*h**3 + 1602*h**2 + 12960*h + 19872 = 0.\nAnswer: -12, -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:36 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 95, 273, 545, 917, 1395, 1985?\n\"Answer: r**3 + 38*r**2 - 31*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/5 + 1292*q**4\/5 - 113955*q**3 + 18268740*q**2 - 501152400*q + 3778488000 = 0.\nAnswer: 15, 17, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -9) - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.25 times 0.3?\nAnswer: -1.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28650445 and 5569.\nAnswer: -28644876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 10. Suppose -59 = 5*l + 3*b - 64, l = -3*b + 1. Put u, -0.5, 0.1, l in decreasing order.\nAnswer: u, l, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**12\/(c\/(c*c*c**20)*c*c))\/(c\/((c*c\/(c*c**(27\/5)*c))\/c)*c**(-7)))**(-45) assuming c is positive.\nAnswer: c**(-1377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/4 + 3*(-2049)\/(-36) is divided by ((-2666)\/(-155))\/((-3)\/(15\/(-2))).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(-2)\/4)\/(-2). Let b = -11205.9 + 11206. What is the third smallest value in b, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/2 - 226529*h\/2 + 9850227 = 0.\nAnswer: 87, 226442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 84.658, 0.0073?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52256 and 733217?\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0 - 1 + 2 + 8*b. Let t(v) = -v**3 + 16*v**2 - 15*v - 1. Let f be t(15). Give p(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(190\/60)*(8\/39)\/(-8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25756.61 decades to millennia.\nAnswer: 257.5661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 + -2.2. What is the second smallest value in -1\/3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:31 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392a88 (base 13) in base 4?\nAnswer: 113222220131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 155.3.\nAnswer: -62.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 116*m - 1446. Let v be r(-11). What is the third biggest value in 0, v, -1\/7, 2, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798863 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*g - 10562 = 0, b = -0*b - 3*g + 10558. Suppose -9492 = -3*u + u. Let s = u - b. What is s rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 6. Let h = y - -10. Find the second derivative of -2*z**5 - h*z + z**5 - 4*z**5 wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 less than -101?\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1127208356 and 1.\nAnswer: -1127208355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 41. What is the smallest value in 2\/3, r, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t. Let r(q) = 4840*q. Give w(r(n)).\nAnswer: 14520*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.14? (a) -4 (b) -13 (c) 19 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/3677569 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**3 + 0 + 22*q**2 + 0*q + 1\/6*q**4. Let f(t) be the second derivative of -t**3\/3 + 2*t. What is o(f(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50385.21 meters in nanometers?\nAnswer: 50385210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 + 1562 = 39*v. Suppose -15 = 3*b - 75. Calculate the highest common factor of b and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuao when four letters picked without replacement from ohaauuahuju.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21469*c. Let k(q) = 1188*q. What is i(k(x))?\nAnswer: 25505172*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -3*c, -2*r - 2*r + 16 = -c. Let p be (-3 + 12\/c)\/(-3). Find t, given that t**3 + p*t + 0 - 1\/3*t**2 - t**4 + 1\/3*t**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164674868.\nAnswer: 2, 61, 79, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(2 - 3 - 1)*(59*u - 149*u + 61*u) + u - 3*u + 0*u as f + w*u and give w.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*(-15300)\/1224.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 11*c**2 - 10*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 1)\/((-15735)\/(-13637))?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3973\/3 - 1338. Suppose 3*q - 5*o - 183 = 0, -2*q - 4*o + 87 = -13. Suppose h + q = 4*f, 4*h + 14 = 2*f - 0*f. Find the common denominator of f and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 - -5) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 172*t + 173*t + 5 - t**3 + 167*t - 683*t + 175*t - 2*t**2. Give j(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1631*d**2 + 1197*d - 7063537?\nAnswer: 3262*d + 1197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7439 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1919, -3839, -5759?\nAnswer: -7679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/17 (b) -4 (c) -10 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/25455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 4, -7, -4, -383, -3, -22.\nAnswer: -383, -22, -7, -4, -3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.6 (b) 2512 (c) -3\/7 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 + 2*x + 4. Let p be f(-3). Suppose 48969 - 9748 = p*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20106169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 149*n + 222*n + 10088 = 0 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*r - 3*h, -7*h + 2*h - 35 = 5*r. What is the nearest to -6 in 4, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - y - 2. Let w(a) = 2*a**2 - 4*a - 3. Let h(q) = q + 1. Let s(m) = 6*h(m) + w(m). Calculate -2*s(d) - 3*v(d).\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15377198 and 10.\nAnswer: 76885990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -45*j + 141. Let b(i) = -22*i + 73. Calculate 5*b(y) - 2*d(y).\nAnswer: -20*y + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x + 3. Let a(f) = -6*f - 2. Calculate -3*a(g) - 2*k(g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.70757 + -0.07157. Let a = 0.299 - 0.035. Let h = w + a. Round h to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + o**3 - o**2 + o**2)*(1249 - 208 + 587) as x*o**3 + d + l*o + h*o**2 and give h.\nAnswer: -3256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1360 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.39, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-25))\/((-15696)\/(-196200)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 + -505. Let g(z) = -z**2 - 2*z - 1. Calculate g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:06 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91058665\/6 >= 15176443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + s + 103 = 4*h, -2*h + 5*s = -29. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(3) + 4)**2 + 5.\nAnswer: 6*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10798549 + -2.2?\nAnswer: 10798546.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.91 - -0.09. Let o = -0.8 - -0.5. Let w = 0.5 + o. What is the biggest value in -0.1, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**2 + 38*x**2 + 36*x**2 + 35*x**2 - 180*x**2 + 31*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 2) + -1 + 2. Let m(l) = -5*l - 11. Let s be m(8). Let t be 0 - s\/3 - -3. Solve -3*h - 5*j - t = 0, b*j = -h + 6*h + 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 35977970?\nAnswer: 395757670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 25 = -0*u + 4*x, 0 = 5*u + x - 20. Suppose u*b = -3*b + 16. Find the third derivative of -3*o**3 + 10*o**3 - 7*o**b + 6*o**3 wrt o.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/(-5) + 16\/40. Let j be (-6)\/(-4)*3\/(-12). Which is the closest to 1? (a) j (b) -1.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 35, -1, -115, -4 in descending order.\nAnswer: 35, -1, -4, -19, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - 13*w**3 + 5*w**3)*(-4*w**2 - 2*w**2 + 5*w**2) + (4 - 4 + 2*w)*(-3*w**4 - 3*w**4 + 3*w**4).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -26008323 and -26008323 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1865 - 403. List the prime factors of p.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*x + 86, -3*x - 70 = 2*w - 6*w. What is the common denominator of w and -87\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*j = -6, -2*s - s + j = 2. Suppose s*z - 456 = -z. Let o = 1176 - z. What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -164?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 - 195.7. Let w = z - -39.7. Which is bigger: 221 or w?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/10)\/((-11)\/22)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(-10 + (-5 - -16)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 22*z - 7. Is 10 a factor of z - 1266\/(-66) - (-2)\/(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41acad (base 14) to base 16.\nAnswer: 21de89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)*(-7)\/(-2). Suppose -5*l - 6 = -8*l, 11 = -5*k - 2*l. Is y > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 27*g + 2. Suppose -5*x - 4*v = 1, 2*v + g = -6. Solve -m + x*m = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 11*z + 5. Suppose 0 = -3*j + 41 - 1004. Let x = 317 + j. Calculate n(x).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 30 = -5*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 2:04 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*w - 6, -4*w + 3*y = 7*y - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*11*26\/(-1430))\/(5\/((-20)\/(-36)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4) - (-14)\/((-6720)\/29062735). Let h = p + 60546. Find the common denominator of 19\/48 and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282887\/(-102868)*((-27)\/6)\/3*-2*4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91424 and 551846692?\nAnswer: 11428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(833) + 3 - (3*((sqrt(833) - (sqrt(833) + 2)) + sqrt(833)))**2.\nAnswer: -7532 + 259*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53635.08 millennia in centuries?\nAnswer: 536350.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -0*v - 4*v, -5*v + 95 = 5*u. Let j = 31 - u. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*x**3 - 382*x**3 - 282*x**3 - 146*x**3.\nAnswer: -871*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1069.423 and 0.062297935?\nAnswer: 1069.485297935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2770514313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1. Let m be n(1). Suppose 0 = -3*x, -6 = -3*b + 5*x - 3. Solve m = w + 1 + b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) -12 (c) -2\/9 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/13 + 1086*s**2\/13 - 11936*s\/13 - 480 = 0. What is s?\nAnswer: -1\/2, 12, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147292217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -209cc2?\nAnswer: -209cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3476400307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73123 - 1217*u + 73123)*(-8*u + 2*u**2 + 8*u).\nAnswer: -2434*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(7311\/(-1218) - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2259000 to the nearest ten thousand.\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14513 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3 - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, 2, -0.2, 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*n + 251*n + 277*n + 247*n - 1242*n + 245*n.\nAnswer: 37*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1580 + 1629. Calculate the remainder when 2148 is divided by s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -8 - (9 + -6). Suppose 65 = 5*l + 5*t, -2*l - 3*t + h = -15. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-2)\/((-16)\/24)*197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 + 174 = 9*l. Calculate the remainder when l is divided by (-4)\/(-6)*51\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -876, 62 in decreasing order.\nAnswer: 62, -2, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-11*s - 312*s - 463*s).\nAnswer: 2358*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578 a factor of 137751867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 117011?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22863d (base 15) to base 14.\nAnswer: -30ca36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 21035323.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123367*m**2*x - 40*m**2 - 28*m*x**2 + 34713122*x**2 - 7*x wrt m?\nAnswer: -246734*m*x - 80*m - 28*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-25)\/9 - (-83 + 79). Let y = 33 + -67\/2. Let z be 1\/(-13)*1*-2. What is the second smallest value in h, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 15 + 11)*(-1 + 1 + k + (-k + 3*k - 3*k)*(1 + 1 - 4) + 2*k + k - 2*k - 4*k - k + 0*k) in the form d*k + v and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -35*h + 36*h + 19, -5*h = 6*v + 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x - 4. Let s(q) = 5*q - 3. Let t(b) = 4*s(b) - 3*u(b). Let z(r) = 345*r - 205*r - 136*r. Give z(t(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 81865*v**2 - 81865*v**2 + 24*v**3 + 2*v + (-6*v - 4*v**2 + 6*v)*(3*v + 4 - 4).\nAnswer: 12*v**3 + 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/7 + 17\/14. Let z = 1 + -4. What is the nearest to z in -2, a, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 55. Let l = q + -34. Let x = -52 - l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-14 - 16) - (1 - (-13 - -10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 1, 5, -2.11 in decreasing order.\nAnswer: 5, 1, 0.2, -2.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 2*i, 2*i + 0*g = g + 5. Suppose 2*a - 1 = i. Let b be a\/(-3) - (-24)\/9. Solve -b*w + 1 = -5*v - 0*v, 5*w - 4*v = 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 2 + sqrt(980) + -1 + 3 + sqrt(980) + 1 + (sqrt(980) - (sqrt(980) + -5*(0 + sqrt(980))) - (sqrt(980) + -1 + 1)))**2.\nAnswer: 3024*sqrt(5) + 70722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60155, -60117, -60079, -60041?\n\"Answer: 38*i - 60193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 576 and 30?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 21 = -16*x. Solve -v - 15 = -4*a - 0*v, -6 = x*a + 5*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 - 244912*y**4\/3 - 22492718074*y**3\/3 + 269922168536*y**2\/9 - 67481093192*y\/3 = 0. Calculate y.\nAnswer: -183686, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a factor of 241778362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 94. Let n(p) = 7*p - 211. Let c(m) = -9*l(m) + 4*n(m). Suppose -4*r = -r - 9. Calculate c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 42 = 22. Calculate the highest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -2*15\/6. Suppose 2*r = 5*r - 12. Let b = r + u. What is the least common multiple of 1 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 4*f - 14, 5*l = -5*f + 105. Let j = l - 13. Suppose -j*g + 761 = -160. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 64 = 84. Sort b, -64, -1, 0 in decreasing order.\nAnswer: 0, -1, b, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = 6*f. Let a(s) = -s - f*s + 3*s. Let l(h) = -2*h - 1. Give -3*a(c) + l(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 - 4*r + 1. Let q be 0 - (3 + (-2)\/(-2)). Let u = q - -11. What is the smallest common multiple of b(3) and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16853 is divided by 624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 5*y**4\/8 + 3*y**2. Let w(m) = -8*m**2 + 0*m**2 - 5*m**2 + 15*m**2. Give u(w(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12 = 5*j + 9, -h - 5*j = 13. Let g(x) = -2*x**2 - 20*x - 27. Let f be g(h). Put -24, f, -4 in descending order.\nAnswer: f, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:06 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let r = -52 - -263\/5. Which is the nearest to 1\/4? (a) 0.3 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6065 - 41252541.\nAnswer: -41246476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*b - 77*b - 13530 = -21*b - 11*b for b.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/54*-5*-3)\/(390\/(-52))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2043194 and -4.\nAnswer: 8172776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1541\/28329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 691255, 1382509, 2073763, 2765017, 3456271?\n\"Answer: 691254*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 - o**5\/4 + 17*o**4\/24 + 7*o**3\/3 + o**2 - 58*o. Calculate b(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 6*c + 6. Let y(d) = -14*d**2 - 17*d - 17. Let o = 3 - 20. Let n be ((-18)\/4 - 12\/(-8))*(-20 + 22). What is n*y(q) + o*u(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/24 - m**3\/3 + 107*m**2 + 7*m. What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -33. Calculate the common denominator of (((-8)\/84)\/j)\/((-36)\/182) and -37\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f - 2*f. Suppose 3*v + 3*p - 120 + 21 = f, 4*p - 70 = -2*v. Calculate the highest common factor of v and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 + 216 - 211 + 5*v**3 + v**2 - v**4 - 2*v - 4*v**3 to s + q*v**2 + l*v**3 + b*v + n*v**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-28) + -2 - (1 - -3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79 - 4*d**3 + 79 - d**3 + 2 - 2 + (5 - 5 - d)*(d**2 + 0*d**2 + 2*d**2).\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - h - 7 = 0, 4*x + x - 2*h = 11. Solve 4*o + x = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*(-6)\/9. Is -2\/37 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64eb - 4?\nAnswer: 64e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-6 - (1 - 5)) + 8 + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0291503907 + -58.6.\nAnswer: -58.5708496093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z - 2*z. Let d be (-20 + 0)*24\/10. Let u be ((-6)\/d*4)\/((-2)\/20). Sort -3, u, z.\nAnswer: u, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, -9\/8, -4, -6?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 534433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66287 - -131678. What is the ten thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Suppose -3*c - 2*l - 5 = 0, 0 = 4*c - u*l + 3*l + 7. Let m = 35\/92 - 3\/23. Is m equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h**3 + h**2 - h - 1. Let m = -19 - -32. Let a = -14 + m. Let t be o(a). What is the highest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -48*w - 65 + 368728*w**3 - 368727*w**3 + 12*w**2 + 15*w. Calculate u(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -226.5 (b) 9\/7 (c) -1\/11 (d) -3\/7 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 - 1 + 5*v**2 - 5.\nAnswer: 5*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 15*o**2 + 13*o - 1. Determine k(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/9 + (-82)\/(-738) - -5. What is the biggest value in -4\/3, -0.937, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + -216?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 16 = -17*d. Suppose 4*c - 2 = 2*l, 3*c - 1 = 6*c - d*l. Which is smaller: -21 or c?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -391792*v**4 + 39*v - 471 wrt v.\nAnswer: -4701504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -336296761 and 3?\nAnswer: -1008890283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3508.6*-6.\nAnswer: 21051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32107 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 3\/8, -5, 1.6, 2, 50518?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(((-11)\/(-132))\/(124\/(-18))). What is the greatest common factor of l and 720?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuumum. What is prob of picking 1 u and 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hshhq. Give prob of picking 2 h and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.6433233 and 1053.9.\nAnswer: 1038.2566767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5735217?\nAnswer: 3, 31, 83, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0*g**5 + 0 + 0*g**4 + 0*g**2 - 13\/42*g**7 + 0*g**6 + 10\/3*g**3 + 16*g. Find the second derivative of a(r) wrt r.\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*2 + -1 + sqrt(1331) - sqrt(1331)) + 2*sqrt(1331)*-1)**2 - (-2 + (-2 + sqrt(891) + 5)**2).\nAnswer: -897 - 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20)*-6 + -3*sqrt(100)\/sqrt(5))\/((-1*(sqrt(100)*-4 + sqrt(100)) - sqrt(100)) + sqrt(100)))**2 + -1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 321689610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 137.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s + 2*s**2 + 14*s + 6*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17 and 2 + 51*2\/(-8).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 120*x. Let p(r) = -48*r. Give -5*g(s) - 12*p(s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -2, 41 in descending order.\nAnswer: 41, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128860120163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11590, -11559, -11508, -11431, -11322?\n\"Answer: b**3 + 4*b**2 + 12*b - 11607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 12. Suppose j*t - 3*t = 0. Suppose 75 = 2*b + 3*r, t*b - 4*r + 70 = 2*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8102?\nAnswer: 2, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*p + 14 + 54, -48 = -2*p - 4*o. Let w = 93 + -45. What is the greatest common factor of w and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6931968*m**3 + 17917265*m**2 wrt m.\nAnswer: 41591808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 292. Let v be w(38). Solve 18*k + v = 12*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 2436.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 1:25 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, r: 3}. Give prob of picking 3 r and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 13 + 0 = 4*n, 5*c = -3*n - 16. Solve 4*t + 0*t - n*s - 12 = 0, -4*t = 3*s - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Sort -8, 4, b in decreasing order.\nAnswer: 4, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 64?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -315\/218 in 38, -4, 5\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (4 - 9 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 + 71 + 72 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - m - m + (12 + 11 - 10)*(-2*m - 2 + 2).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 49*o**2 + 210*o - 93. Let p be v(-53). Solve 0 = -c - p + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. Let m = 8.5 - 9. Which is the closest to k? (a) -1\/4 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m. Let o(n) = -n**2 + 6*n - 2. Let s be o(7). Let i = s - -8. Let v(w) = -4*w - 4. Let b(u) = i*v(u) + 2*t(u). Factor b(q).\nAnswer: 2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/10 - (4 + 2). Suppose -5*q = h*d - 6830, -30*d = -4*q - 33*d + 5459. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*d - 62320, -41*s + 40*s + 12464 = -5*d. List the prime factors of s.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**29\/(c\/(c\/(c\/(c*c**(-39))))) assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471878, -943761, -1415644, -1887527, -2359410, -2831293?\nAnswer: -3303176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*h + 3436 = h, 2*h - 2296 = -2*o. What is o rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 + 108*k**3 - 1212*k**2.\nAnswer: -360*k**3 + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from wrlswwvwrlswlsvw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 50 - 50 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 1. Let a(o) = 9*o**2 + 6 - 6*o - 14*o**2 + 4*o**2. Let n be a(-7). What is f(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 90 = 3*o, -5*o = 2*c + 53 + 97. Let r = o + 32. Suppose -5*h + 35 = r*t, -4*h + 3 = -5*t + 8. Solve -2*p - 3*b = 8 + 3, 0 = h*p - 4*b - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 - 8781*y**3 + 26325*y**2 - 26319*y + 8772 = 0.\nAnswer: 1, 2924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -8, -15, -20, -23, -24, -23?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:32 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(3\/2)*100\/(-36))\/((-314)\/(-2826))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -6 in descending order.\nAnswer: 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m**2 + 5*m**2 + 3 - 24*m**2 + 5*m**2 to the form y + c*m**2 + h*m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 6 + 1628\/(-111))*75\/(-150)?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 2*l - 2*l**2 + 1\/5*l**5 + 0 + 0*l**4 + 0*l**3. Find the first derivative of n(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 316743.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0*w**3 - 1\/120*w**6 + 1\/80*w**5 + 0*w**2 - 1\/168*w**7 - 2 - 22*w + 1\/48*w**4. Determine m, given that a(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 7*w - 2. Let b be q(2). Suppose b*t = 14 + 18. Solve -l + 32 = -5*a - 5*l, -4*a - 28 = t*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(637) + -1 - sqrt(637))*5 - ((2 + 0 + sqrt(637))*4)**2.\nAnswer: -10271 - 448*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 615626749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**6\/30 + 11*i**5\/100 + 13*i**4\/60 - i**3\/10 + 508*i + 1. Factor v(f).\nAnswer: -f*(f - 3)*(f + 1)*(5*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -12, -4, -45 in ascending order.\nAnswer: -45, -12, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 1, 47, 0 in increasing order.\nAnswer: -108, 0, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34, 1\/80, -0.4, 2\/3, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c - 4. Let h be p(1). Suppose -f + 0 = h. Let l be (f + 17)*(1 - -2). Calculate the highest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1 - n**2 + 1 - 1. Let r = -65981 + 65984. Let b(w) = -3*w**2 + 2*w + 3. What is r*a(h) + b(h)?\nAnswer: -6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {h: 5, t: 2, q: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113.13148 + -112.8. Round g to 2 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 6. Let m = -6 - y. Suppose -2*u + m = -45. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 10*g + 5. What is the smallest common multiple of 9 + (7 + -3)*3\/4 and k(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 - -693. Let l = w + -236. Sort l, 0, -2 in decreasing order.\nAnswer: l, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 8 (b) 0.1 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:19 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 3*w**2 - 4*w**2 + 11*w**2 + 4972427*w - 4*w**2 - 4972437*w.\nAnswer: 3*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24157877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 5 + sqrt(539)*-2)**2*-3.\nAnswer: -1680*sqrt(11) + 13536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 23\/6, 1\/37 in increasing order.\nAnswer: -6, 1\/37, 23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3599*f = 13186*f - 117279 + 443237 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12403021312 - 10?\nAnswer: 12403021302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -24. Let i = l - -27. Suppose -a + 2*a = i. Let c(r) = -r - 2. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110266794 divided by -589662\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**5 + 1378*a**3 - 106*a**2 + 23*a + 2119922?\nAnswer: -140*a**3 + 8268*a - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65105833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (11 + 1 + -6 + (-1 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1\/4)\/(644\/(-224))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/63*900\/120?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 373. Let d be (4\/12)\/((-2)\/q). What is the remainder when (d\/6)\/(1\/2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)\/v**(-1\/4))**(-6\/7)*(v*v\/(v**(-1)*v))**(-22)*(v**3\/v)\/v*v**(3\/7) assuming v is positive.\nAnswer: v**(-7811\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75754122 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -1\/4*o**5 + 7\/2*o**4 + 0 - 53\/4*o**3 - 9*o + 19*o**2 = 0.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugubbugggu. What is prob of picking 1 u, 2 b, and 1 g?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21582386 to the power of 1\/2, to the nearest integer?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6725699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4022 + 7431. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3432 = 6*u. Let v = u + -262. Solve 0 = v*i - 5 + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**3 + 78*a**2 - 173*a - 1066. Determine g(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 687 + -113410.1503.\nAnswer: -112723.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 12) to base 3.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3 - 327124*a**2 + 8503196*a - 55266380 = 0.\nAnswer: 13, 81755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 551 = m, -19092*p + 114 = -4*m - 19093*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/12 + -1 + 9 - (-4 + 4 + 67)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. Let f = -3992806747988\/7931 + 503443041. Let q = f - -2\/1133. Which is the nearest to q? (a) 2\/7 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*s**4 + 6*s**3 + 24 wrt s.\nAnswer: -68*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141315\/810 + 10\/12 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-1\/3)*n)*n)\/n)**(7\/6))**12 assuming n is positive.\nAnswer: n**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.50907 millilitres to litres.\nAnswer: 0.01850907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -609828, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13259 - -30894. Let b = -17635.7991 + g. Let y = b + 0.8. What is y rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0.05, 542, 1 in decreasing order.\nAnswer: 542, 1, 0.05, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 103*s**2 + 6. Let l(p) = 308*p**2 + 17. Let y(f) = -17*d(f) + 6*l(f). Let k(o) = -o. Give k(y(b)).\nAnswer: -97*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 989.9 + 186.1. Let z = 820042 + -818866.657. Let q = f - z. Round q to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 245*r**3 + 2185*r**2 + 3655*r + 1710 = 0. Calculate r.\nAnswer: -38, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -172*15\/20 + -4. Let n(c) = 25*c**3 - 6*c**2 + 6*c - 6. Let d(f) = 551*f**3 - 133*f**2 + 133*f - 133. Determine z*n(p) + 6*d(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + q**2 + 2*q**2)*(-10 + 10 - 4*q).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95 plus -2.43454637?\nAnswer: -3.38454637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(96) - -2*sqrt(96))*2)\/(sqrt(384)\/(sqrt(12)*2)))**2 + -5 + 1.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19748*n - 179*n**2 + 9497*n + 10251*n.\nAnswer: -179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**4 - c**3 - c**2 - 1. Let u(l) = -32*l**4 + 3*l**3 - 7*l**2 + l + 128. Let s(n) = 5*b(n) - u(n). Find the third derivative of s(r) wrt r.\nAnswer: 528*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*p - 92, 0 = 5*w - 5*p - 118 - 37. Solve 56*c - w*c = 30*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 - 6*c - 6. Let q be v(5). Suppose 3*o - o = q. Solve -3*p + o = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 9*u**3 + u**2 - 5*u - 1. Suppose x - 49 = -4*v - 42, 0 = -3*x + 4*v - 27. Let d(o) = -5*o**3 + 3*o + 1. Determine x*d(y) - 3*t(y).\nAnswer: -2*y**3 - 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4871*m**2 - 8*m + 18. Let j(z) = -4869*z**2 - 9*z + 21. Calculate 7*c(i) - 6*j(i).\nAnswer: -4883*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 903947036 to the nearest integer?\nAnswer: 30066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3236*c**2 + 25*c + 11*c - 35*c in the form z*c**2 + m*c + y and give z.\nAnswer: 3236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 - 124. Let t = -36.000084 - z. Round t to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**3*r*u + 5*k**3*u**3 + 4*k**3*u + 2*k**2*u**2 + k*r*u**2 - 3*k*r*u + 47142*r*u**3 + 79*u wrt u?\nAnswer: 30*k**3 + 282852*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48396 and 852?\nAnswer: 3436116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.232 - 0.331. Let j = -2.361 + g. Round j to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214 * 51651.\nAnswer: -11053314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20396*b - 1359*b**2 + 6798*b + 6799*b + 6799*b. Let d(f) = f. What is m(d(w))?\nAnswer: -1359*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*s - 22, -4*s + 3*j - 37 + 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-48))\/(9\/382884) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 351, 3173, 10841, 25779, 50411, 87161?\n\"Answer: 404*y**3 - y**2 - 3*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 + 2*d**2 - 3*d - 3. Let j(r) = -16*r**3 - 7*r**2 + 10*r + 10. Give -2*j(h) - 7*w(h).\nAnswer: -3*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111020 (base 3) in base 9?\nAnswer: -34436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(36\/40))\/(4\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x - 1\/4*x**2 - 1.\nAnswer: -(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 3\/5, -4, -4\/5 in decreasing order.\nAnswer: 5, 3\/5, -0.2, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 8*p**2 - 5*p**2 - 9*p - 32 - 2*p - 8*p**2. Let a be q(15). What is a rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p)**(-15)\/(p**(2\/9)*(p**5\/p*p)\/p*p*p) assuming p is positive.\nAnswer: p**(-517\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-3)\/6)\/1*1232\/266*-19?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c**2 - 13*c**2. Let q(l) = 2*l**2 - 3*l + 9*l - 6*l. Give a(q(g)).\nAnswer: -52*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.5 - 13.9. Let p = w - -4.4. Let r = p + -18.999973. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35234.37 nanometers in centimeters?\nAnswer: 0.003523437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(110)*2*-6 - sqrt(110)) + sqrt(110) + (sqrt(110) - 1*(sqrt(110) - (-1*sqrt(110) + sqrt(110))))))\/(sqrt(40)*6 + 3*sqrt(10)*-1)*4.\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2816\/(-440)*(-450)\/45.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 27, 3 in decreasing order.\nAnswer: 27, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7064467*n**3 + 3 - 3 - 7064630*n**3.\nAnswer: -163*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.207 - 1.26. Round q to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 433314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 282*y + 266*y + 276*y + 24 - 836*y. Determine t(8).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7238339?\nAnswer: 7238339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 - 9*d**2 + 8*d + 18. Let t be i(-5). Let v = 121 - 28. Suppose -j + v = -6*g + t*g, 3*j - 292 = -4*g. 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: Let d(b) = 2*b - 2. Let o be d(2). What is the second derivative of -5*f**3 - 86*f + 85*f - o*f**3 wrt f?\nAnswer: -42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106146 and 20?\nAnswer: 1061460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14380 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three thirds of a minute?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/41)))\/(s*s*(s*s*s**(-28)\/s)\/s) assuming s is positive.\nAnswer: s**(1065\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116687331 and 12965259?\nAnswer: 116687331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n - 151*n + 26 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 7*q**2 + q + 9. Let m = -63 - -40. Let y = m + 16. Let f be b(y). Solve -5*a - 2*k - 17 = 0, -2*a + f*k - 21 = -3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 4*m + 2. Let p(w) = w**3 + w**2 - 7*w - 1. Let c be p(-3). Let i be 3 + 5 + c + -6. Let a(r) = -5*r**2 + 9*r - 5. Calculate i*a(v) + 9*y(v).\nAnswer: -2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-22)\/((-1288)\/2576)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7855 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-39)\/9 + (0 - -3)). Factor 2*y**3 + y**3 + 6*y**4 - 2*y**2 - 4*y + y**3 - 4*y**i.\nAnswer: 2*y*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/94046678 and 69\/355564?\nAnswer: 188093356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - l + l - l + 2*l - l + 0 + 0 + (2 - 1 - 2)*(l + 5*l - 4*l) - l - l + l + 689*l - 1369*l + 691*l + 67 to i + s*l and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305809?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334807 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203ea (base 16) to base 7.\nAnswer: -1060025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.05. Let f = o - 1.191. Let r = f + 1.47. What is r rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3850)\/165)\/((-50)\/20)*(-9)\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 130 + -43 + (0 - 0 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5653238*g**3 + 8*g**2 - 12*g + 1246 wrt g?\nAnswer: 33919428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - -0.5. Let g = -38987.1 - -38987. What is the closest to g in 0.1, n, -2\/13, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -11. Suppose 3*x - h*x = -189. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(p - p - 4*p**5) + 3*p**4 + 2*p**5 - 3*p**3 - p**4 - 6*p**4.\nAnswer: -6*p**5 - 4*p**4 - 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 8. Let p(f) = f**2 - 6*f - 3. Is p(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489*l**5 + 665*l wrt l.\nAnswer: 9780*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4 + 210\/12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvzyuuuvurzzuv. Give prob of sequence urz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 303\/((19 - 18)\/1). What is the closest to 0 in 1, -3, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 36. Suppose 5*f - 7 = -u*h, 5*f = -2*h + 10 + 1. Let j be -2*3\/12*-4. Solve -f*z - j = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 113. What is the greatest common divisor of y and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130123010 (base 4) in base 9?\nAnswer: -636256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 39. Let j = 7133859.9999985 + -7133858. Let w = j + h. What is w rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 4)*(3*v**2 + 3*v**2 - 4*v**2)*(-4*v + 2*v + 4*v).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 1, 44, 125, 256, 449, 716, 1069?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1 + (-4 + 3 - 1)*(-3 - 2 + 7) - 1 + 3 - 3)*(-2*t**3 + 0*t + 0*t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 5. Let u be o(1). Is u at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*m + 11 - 11 + 54*m.\nAnswer: 1226*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -118836?\nAnswer: -118841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 + 12*c**2 + 3*c - 4. Give j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-438)\/(-5) - (-14)\/35. Suppose 3*f = 2*f - m. Let i = f - -299. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 + 5*i - 3. What is the units digit of b(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*g - 15 - 5, -2*l - 3*g = -15. Suppose l = 6*x - 7*x + 132. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m - 3. Let t(f) = -20*f - 10. Let w(y) = 7*h(y) - 2*t(y). Give w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.359853m in nanometers?\nAnswer: 8359853000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 28. Let a(j) = 2279*j**2 + 172. Let w(c) = 40*c**2 + 3. Let y(o) = -3*a(o) + 172*w(o). Give y(p(t)).\nAnswer: 43*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385798?\nAnswer: 2, 2192899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37. Suppose -4*k - 8 = -0*k, 2*k = n - 5. Sort v, n, 5 in descending order.\nAnswer: 5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50774 + -50783. Let q(m) = -m**3 + 6*m**2 - 6*m + 5. Let u be q(5). What is the fourth biggest value in u, g, 5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/11 - 153728*n**2\/11 + 307464*n\/11 = 0. What is n?\nAnswer: -76866, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u + 23*u - 11*u. Let t(w) = 4*w**2 + 2*w**2 - 5*w**2. Calculate t(l(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2244913 years in months?\nAnswer: 2.6938956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1555 - -1600. What is the remainder when 1707 is divided by f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 23*u**2 + 125*u + 2543. What is l(30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 47 - 182. Let y(b) = b**3 + 6*b**2 + 2*b - 10. Let m be y(k). Solve 15*a - 14*a = -m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218.05 - -218. What is the smallest value in 4\/7, 1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011000111100111001110011?\nAnswer: -1011000111100111001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 52, -2\/35?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 5*t - 4*t - 11*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.421 * 0.38.\nAnswer: 2.81998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3*u**5\/5 - 3*u**2\/2 - 3. Find the second derivative of r(y) wrt y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -1251*k**4\/2 - k**2\/2 + 7157*k - 5185. Find the first derivative of j(u) wrt u.\nAnswer: -7506*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-576)\/(-160) - (-6)\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20742 + 34857 = -95*h + 19245 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 39*a**2 + 2*a - 4. What is the remainder when u(1) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2867 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + (-3 - (2 - 3)). Let x(q) = -q + 14. Let s be x(n). Let b = 13 - s. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5206563, -5206561, -5206555, -5206545, -5206531, -5206513?\n\"Answer: 2*c**2 - 4*c - 5206561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 182, 422, 758, 1190, 1718, 2342?\n\"Answer: 48*a**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 5. Let t be b(5). What is the tens digit of (t - -1)*(2 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 89*i**2 + 30*i - 15. Let s(o) = -90*o**2 - 24*o + 12. Let b(v) = -4*a(v) - 5*s(v). Let x(l) = -31*l**2. Determine 3*b(w) + 8*x(w).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 9. Let m = u - -24. Solve 5*d**2 + d + m*d**3 - 4*d**2 + d + 2*d**5 + 8*d**2 + 9*d**4 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.1, -9, -0.2, -57?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-25)\/(-4). Let a(h) = h + 8. Let b be a(o). Let w be b - 0 - (-1 + 3). Solve -5*z - 10 = -w*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1)*4\/6. Suppose -5*w = 2*r + 23, -7*w - 24 = r - t*w. Solve -4*c + 3 = -r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 6}. What is prob of sequence uouo?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 178 = -5*z - 88, 82 = 3*z + 5*r. Solve 5*s + z - 28 = -3*a, 0 = 5*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7851.4221 rounded to the nearest 100?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480074, -480051, -480022, -479993, -479970, -479959, -479966, -479997?\nAnswer: -480058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3838*h**4 + 14569?\nAnswer: -15352*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 33b5?\nAnswer: -33ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 15. Let b(n) = n - 13. Let o(q) = 5*b(q) + 4*u(q). Let p be o(7). Solve -4*c = -p - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, 4639 in decreasing order.\nAnswer: 4639, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 603432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + 2 + sqrt(162) + sqrt(162)).\nAnswer: -8 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-132)\/(-112)))\/(6\/72*-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/(-28)*59736\/(-12445).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -458, -1.42, 0.6 in increasing order.\nAnswer: -458, -1.42, -0.5, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d (base 15) to base 13.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**6*z - 4*x**6 - 18*x**3 + 4*x**2 - 9*z wrt x?\nAnswer: -480*x**3*z - 480*x**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -35*k + 525. Let t be 7\/(k\/(-10))*-3. Let l = 2 + -2.3. Which is the closest to t? (a) 4 (b) l (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -342*h**4 - 3*h**3*v - 2*h**2*v - 31673*v wrt h.\nAnswer: -1368*h**3 - 9*h**2*v - 4*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114686331857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.5. What is the biggest value in -0.3, 0.04, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {a: 3, q: 2, b: 1, o: 1, p: 3, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -34*1\/((-4)\/6). Let d = 3 + 14. Let g = 34 - d. Calculate the greatest common divisor of s and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((143\/(-22))\/(-13))\/(-1*6\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.42063 hours to microseconds.\nAnswer: 249914268000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 10}. Give prob of sequence gg.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 1, 20, 69, 160, 305, 516?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:38 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*b + 4658 with respect to b.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 - 71816*q\/3 - 8460364\/3.\nAnswer: -(q + 118)*(q + 71698)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -68. Solve -15 = o*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024590384006 to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 + 0*k**3 - 3*k**3)*(13 - 17 - 87).\nAnswer: -182*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226848 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2912*o - 1570*o + o**2 + 222*o - 1564*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 0.279, 0.2, 0?\nAnswer: 0.279","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 122 = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 251697 and 38319.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/26139752 and -95\/6.\nAnswer: 78419256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3136 is divided by 199.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 220?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d + 34. Suppose 30 = 2*y + y. What is the units digit of g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.2 plus 628?\nAnswer: 651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, s: 10}. What is prob of picking 2 t?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfttftffffcctff. What is prob of picking 3 f and 1 c?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6824182 + -6824159.9999985. Let a = -22 + f. Round a to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3794 - -5983. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzfokko. Give prob of picking 2 o and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4376 - 4380. Sort 2, 9, -27, f, -2 in decreasing order.\nAnswer: 9, 2, -2, f, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-11 - 16) - (16 + -41)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - sqrt(12)\/sqrt(4))) + -1 + 0.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -39, -104, -227, -426, -719?\n\"Answer: -3*w**3 - 2*w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*x + 21. Let u = 819 + -829. Which is bigger: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 3, g: 3, m: 1}. Give prob of picking 1 m and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 10*a + 1024. What is m(0)?\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 138. Sort 0, t, 5, 1.\nAnswer: t, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 3 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15855.\nAnswer: 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 greater than -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u + 1. Let t(a) be the second derivative of a**4\/6 - a**3\/6 - a**2\/2 - 2*a. Let n = -399 + 398. Give n*t(j) + v(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 1. Let w(s) = -301*s**2 + 6*s - 5. Calculate 3*i(q) - w(q).\nAnswer: 301*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*s = 95, 0*a - 3*s + 38 = 2*a. Suppose 4*v = a + 179. Let d = v - 29. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/1365 and -19\/207.\nAnswer: 94185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*y**5 + 350*y**4 - 4180*y**3 - 5560*y**2 + 4160*y - 640 = 0. Calculate y.\nAnswer: -4, -2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8471.9 * 65.\nAnswer: -550673.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*v - 95, -5*v + 88 = 5*o - 87. Let j = v + -15. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 14, 9, -2, -19, -42?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065292 rounded to 7 decimal places?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2 - 2) + (9 - (22 - -3) - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:31 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 846*t - 641 + 468 - 2281 - 590 - 47*t**2 - 830*t wrt t?\nAnswer: -94*t + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -64421030?\nAnswer: -64421026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -66, -135, -222, -321?\n\"Answer: y**3 - 18*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622129 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 78480*i - 769888800.\nAnswer: -2*(i - 19620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -4)*2 + 3 + 4*-5*(sqrt(637) + 5))**2*-3.\nAnswer: -652239 - 79380*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 151.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 5*l + 74, 0 = -5*p + l + 232. Solve 4*f = 63 - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010010 - 11011010101101?\nAnswer: -11100100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.6, 3, 5.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 70. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**3)\/(n*n**(-4)))\/((n**(-2)\/n)\/((n\/(n**(-4\/9)\/n))\/n))*n**6*n**(-5)*(n\/n**3)\/((n\/n**5*n)\/n) assuming n is positive.\nAnswer: n**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v**2 + 27*v + 65. What is the remainder when m(-10) is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 640*i - 571*i + 4*i**4 - 4*i**3 - 7*i**3 + 0*i**4 - 286*i wrt i?\nAnswer: 48*i**2 - 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13386b (base 14) in base 4?\nAnswer: -2201312313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012565482988 to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24513756 to the power of 1\/2, to the nearest integer?\nAnswer: 4951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*n**4 + (-25131 + 25131 - 358*n**4 + (n**2 - 2*n**2 + 2*n**2)*(2*n**2 - 4*n**2 + 0*n**2))*(-4 + 1 + 4).\nAnswer: -358*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qteptpppeepp. Give prob of sequence qet.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 2*q**2 + q + 1. Let m(z) = z**3 + 2*z**2 - 2*z - 1. Let c(n) = -3*m(n) - 4*p(n). What is c(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2)*2 + 1)\/1. Let r(a) = -a**3 - 3*a**2 - 2*a + 6. Let p be r(o). Let c(q) = q**2 + 2*q - 5. Calculate c(p).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4561 and 233.\nAnswer: 1062713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.48 - 13.479989738. Round i to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 708247 + -2436. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1454, 1447, 1430, 1397, 1342, 1259?\nAnswer: 1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/(-6))\/(44\/(-6) - -7). Let i = n - -141. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 329, 330, 331, 332, 333?\n\"Answer: p + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(((y\/y**4)\/y*y)\/y*y*y))\/y))\/y*y)\/y*y**(-12)*(y\/(y\/y**(1\/2)))**(-2\/99) assuming y is positive.\nAnswer: y**(-1387\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**7\/840 + n**6\/90 - n**5\/40 + n**4\/24 - 4*n**3\/3 + n**2\/2 + 4. Let d(f) be the third derivative of v(f). Calculate d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:36 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -86063846.4 to the nearest 10000.\nAnswer: -86060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126496 is divided by 510.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -8581883\nAnswer: -27\/8581883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) + (-217)\/930?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 568034077 - 425457370514\/749. Let k = -1431\/7 + z. Let p = k + 291\/535. Does 2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-1486 + 9*f + 7*f + 1480) + (-5*f + 3*f + 4*f)*(0 + 1 - 3) + 3*f - 4*f - 7*f in the form n*f + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 17 = 2*n - 9, -5*y + 11 = -2*n. Let a(f) = -f**3 + 3*f**2 + 2*f. Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddbbbdbb. What is prob of picking 1 d and 2 b?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 84. Let h be (-15)\/n + 34\/(-4). Let y be (-3)\/4 + 466\/h. Which is smaller: -60 or y?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 21, 20, 19?\n\"Answer: -r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -756 - -740.78. Let x = -0.22 - o. What is the second biggest value in 0.1, -5\/2, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 754, 1509, 2262, 3013, 3762, 4509?\n\"Answer: -r**2 + 758*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*z = -49, -260*z = 160*y - 163*y + 1196 + 2692 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285228 (base 9) to base 5.\nAnswer: 21040134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*14\/(-189)*36?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*o**3*p**2*s*w + 6*o**3*p*s*w - 2*o**3*s**2*w + 2*o**2*p*w + 2*o*p**2*s**2*w - p*w wrt p?\nAnswer: 164*o**3*s*w + 4*o*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3465*n**2 - 19*n - 20. Calculate o(1).\nAnswer: 3426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raaa when four letters picked without replacement from aara.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -6\/7, 4, -8, 1, -3, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0741 * 222.\nAnswer: -16.4502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/24 and -29\/129.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjudaaf. Give prob of sequence qaf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(567)\/(sqrt(9)*-3))*-6)\/(-5*sqrt(1125)\/sqrt(5)).\nAnswer: 8*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 237855*z + 951340.\nAnswer: 5*(z + 4)*(z + 47567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -67, -2\/57, 8?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqqxxqxxqqqxxqqqx. What is prob of picking 1 x and 1 q?\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -18 - (-33 - -24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 12.2. Let v = 127628 + -127615.2058. Let d = t + v. Round d to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 1289 = -1209 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, -32 in decreasing order.\nAnswer: 2, 0, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -0.04 (b) -2\/13 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28152 by -85.\nAnswer: 1656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 15*z - 3*c = -66, -4 = -2*c. Let b be -15*(-16)\/z - 5. What is the highest common factor of b and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 609832 and 49002.7.\nAnswer: 658834.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237*z**2 - 32 + 59 - 27 to b*z**2 + c + g*z and give b.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**2*p - 14*n**2 + 118*n*p*v + p*v**2 + 249*v**2 wrt p?\nAnswer: -3*n**2 + 118*n*v + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -26. Which is greater: 10\/9 or b?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y**2)*(11*y - 4*y + 6*y)*(2 - 2 - 2).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2317*y - 6 - 5.\nAnswer: -2317*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/31868 and 75\/126976?\nAnswer: 32632832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376732.\nAnswer: 2, 19, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -10 + -10 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.09536 less than 12.77?\nAnswer: -660.32536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:32 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*l**2 + (2 + 2 - 3)*(2*l - 2*l - l**2) - 8*l**2 - 11*l**2 + 7*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4 - 2 + 115715*y + 4 - 1. Let l be a(-7). Round l to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v + 2. Let j be o(-4). Let a(w) = -3*w**2 + 295*w - 5360. Let h be a(74). Is h at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 4*s + 8. Let m be o(-6). Let n(h) = -h**3 + 10*h**2 + h + 3. Let l be n(10). Calculate the greatest common factor of m and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Suppose 0*j = -2*j - 18. Let t = j + 4. Which is the closest to n? (a) 1\/2 (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:29 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(459\/(-36))*5040\/(-224).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3\/19, -0.3, -2\/1143?\nAnswer: -2\/1143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 576361890 to the nearest 100000.\nAnswer: 576400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 16*t**2 + 7477*t + 152072. What is v(-446)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5040 divided by 28.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -40. Let n = s - -63. Is 22 a factor of 98 + n - -4 - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 + -11 - (-1 - 7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8134541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 176, 403, 722, 1133, 1636?\nAnswer: 2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((5 - 5) + 2)) + (10 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -11112?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 12) in base 4?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 1. Let q(j) be the second derivative of -j**4\/2 - 2*j**2 - 3*j. Let c(v) = -16*o(v) + 3*q(v). Let g(r) = 2*r**2 - 5. Give -5*c(w) - 4*g(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q + 2340229 - 2342644 = 0 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 10. Let u = n + -16. Let p be (-21 - -18) + (28\/18 - -1). Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-7))*j**(3\/5)*j)\/(j**(2\/7)*j**(4\/3)\/j) assuming j is positive.\nAnswer: j**(838\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -3.15963\nAnswer: 139.02372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 6 + 0*b - 2*b + b. Let r be 12\/(2 - 0)*-1. Give d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115482120 - -34816.\nAnswer: 115516936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3987 - 1?\nAnswer: -a3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-495)\/(-6))\/3*(-2174)\/(-5435)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/2)\/(240\/(-160))*0. Solve y = v - 4*y - 4, 5*y + 5 = m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-21 - (-7 + -78 - -19)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) - (-8)\/(-180)*15. Suppose c = -11*v + 36*v - 10025. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 = -5. Let l(c) = -c**2 + c + 5. What is the remainder when s is divided by l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 - -0.02. Let j = 6 + x. Which is the biggest value? (a) -0.2 (b) -2\/17 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -1\/36*c**5 + 8 + 0*c**4 + 9\/2*c**2 + 0*c + 10\/9*c**3. Let b(t) be the second derivative of g(t). Solve b(h) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 55 + o + 3*o - 62 - 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (7 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261\/35 + -38\/5. Let d be 5\/(280\/24)*(-2)\/3. What is the third biggest value in -0.5, 0.1, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 24*m + 442. Determine f(38).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, x: 1, p: 2, n: 4, j: 2}. What is prob of picking 2 p and 1 m?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 + 1 + 0*s**3 - s**3 + 2*s**3.\nAnswer: -5*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35693, -71504, -107423, -143450, -179585?\nAnswer: -215828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 2*h - 242, h = -2*h + c + 370. Let q = 94 - 59. Let r be 10\/q - h\/(-7). What is the highest common factor of 27 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19344 and 12108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from kvvld?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -1338.4987?\nAnswer: 2676.9974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**3*z + 1600996*q**3 + 1547603*q*z + 2*z + 9 wrt q?\nAnswer: -30*q*z + 9605976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 - -2 - 9. Let i be (16\/(-14))\/(j\/21). Let q = 3.43 + 1.57. Which is the biggest value? (a) 1 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvoxaoo. Give prob of sequence oao.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/6 - x**2\/2 + 3*x - 6. Let m(v) be the first derivative of d(v). Determine m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138238 is divided by 6488.\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 19*q**2 + 20*q + 11. Let y be x(-20). Let z(l) = 5*l + 62*l**2 - 61*l**2 - y - l. Does 7 divide z(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/3 + 70*u - 412\/3 = 0 for u.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oon. What is prob of sequence no?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 23*q + 252. Determine d(32).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 14*j + 5. Let x be v(-14). Suppose -3 = l, -4*l - x - 22 = -5*p. Suppose -13 = p*m - 103. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, k: 9}. Give prob of sequence oook.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.1 - -21. What is the closest to -0.1 in 6, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 482 = -2994. Let p be (2\/(-4))\/(20\/f). Let w = p - 31. Which is the biggest value? (a) w (b) -0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 270\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - (1 - (-27)\/(-4)). Solve 3*r + 10 = -b, -i = r + r + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 43. Let u = 53 + i. Suppose -3*r - u*r + 34300 = 0. What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 3*g**2 + g - 2. Let d be c(-1). Let -2\/7 - 6\/7*r**d - 4\/7*r**3 + r - 3\/7*r**5 + 8\/7*r**4 = 0. What is r?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:23 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - y = 119, 4*p + 4*y = 6*y + 484. Let z = -86 + 168. What is the greatest common factor of z and p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 0. Let h = s + 4. Which is the second smallest value? (a) -1\/3 (b) h (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5) - sqrt(160)\/sqrt(2)) + (sqrt(300)*-2)**2*-3.\nAnswer: -3600 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 17*w - 64. Let b(p) be the first derivative of 0*p + p**3 + w - 9\/5*p**5 - 3\/2*p**4 + 0*p**2. Determine y, given that b(y) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9187878 milligrams in kilograms?\nAnswer: 0.0000009187878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38097 - -38674. Solve 0 = u*d - 566*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5319695 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1149 + 138. Let i = -608 - y. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -7131591.\nAnswer: 4\/2377197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/137 (b) 5717 (c) -0.4 (d) 0.3 (e) 1\/3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-11)\/2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3 (c) -24 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -9*b**5\/10 - b**3\/6 + 12*b. What is the second derivative of x(d) wrt d?\nAnswer: -108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 281636?\nAnswer: 844908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**3 - 2*f**2 + f. Suppose 0*u + 8 = -4*u - 4*i, 4*i = -5*u - 7. Let q be g(u). Let k(s) = 5*s - 53. Let m be k(11). Sort 3, q, m.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 3\/8 (b) -1 (c) -19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7002.841ml in litres?\nAnswer: 7.002841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131.9 - 132. Which is the smallest value? (a) u (b) 2\/13 (c) -0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*z - 6, 0 = -3*z - 9. Let q be (-2)\/(3 + -2 + b). Let r(l) = l**2 - l**3 - 6 - 5*l**2 + 11 - 6. Give r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, -2, -1\/2, -3 in descending order.\nAnswer: 1, -1\/2, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyuoujuuuoojju. What is prob of sequence jj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 660665281 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 - (6 - -19 - 44). Let d(t) be the third derivative of 0 - 5\/24*t**4 - t**b - 31*t**2 + 0*t. Calculate d(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*x - 207*l + 209*l - 44, 0 = -3*x + 8*l - 596 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 17 = -1. Let g = 14 - s. Let n = 58 - g. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1021354, 4085409, 9192168, 16341631, 25533798, 36768669?\n\"Answer: 1021352*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5828 + -1318. List the prime factors of z.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1*((-16)\/(-4) - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13\/4, -2.7, -0.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 234\/(-4)*(-75312)\/(-5076) - -5. Let r = -863 - v. Is -4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.61 (b) -50 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 + 186*d - 213. Let m be p(25). What is the highest common factor of 50158 and m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*l - 4, 4*g - l = 3*l + 8. Let a = g + 6. Let z = 20 + -11. What is the highest common divisor of a and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/2 - 38*w - 3317\/2 = 0.\nAnswer: -31, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 + 91 = 46*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -6, -3\/7, -2\/7, 2\/65, 0.4?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075507 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 - 8*l - 15. Give a(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28009783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 5. Let i = -103 + 98. Calculate x(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-20))\/((-23954)\/145))\/((35\/49)\/(-5))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 21. Which is the third biggest value? (a) -0.3 (b) t (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*i - 1 + 2*i**2 - 14*i wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 - -1.05. Which is the closest to -0.09? (a) 15 (b) k (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x**5 + 0*x + 0 + 0*x**6 - 1\/105*x**7 - 2\/3*x**3 + 0*x**4 + 4*x**2. What is the derivative of l(c) wrt c?\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 473 + -1017. Let w = -519 - x. Solve w = g - 4*j, 0 = -g + 2*j + 17 - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 + 10 = -5*h, 0 = -4*h - 2*d + 18. Suppose -3*w - 2*u = -956, h*w - 246 = -5*u + 373. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 4, 93, 0 in ascending order.\nAnswer: -23, 0, 3, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i. Let x(p) = 7*p**2 + 7*p - 4. Calculate 6*s(u) + x(u).\nAnswer: u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194.5 + 213.97. Let d = g + -0.47. Let z = d - 14. What is the second biggest value in -0.1, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 4. Let j be r(-6). Solve -w = -j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*s + x, 2*x = -17*s + 15*s + 56. What is the remainder when 299 is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/2)\/(-3)*5\/6. Solve b = s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 1\/10, -4, 0.01?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 14*w - 2895. Let n be r(0). Let c be ((-36)\/n)\/(-4*9\/120). Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 303592 - 3121*m - 303592 as x*m + g and give x.\nAnswer: -3121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 120*a**2 + 205*a + 330 = 0. Calculate a.\nAnswer: -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0)*(-5)\/(-15). Let k be -1 - -17*(2 - v). Suppose 0*w + 4*w = k. Solve -w*d + 7 = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0, -0.5, 0.3, -0.228, -1 in descending order.\nAnswer: 0.3, 1\/5, 0, -0.228, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + 12 - 19 + 1 - 7*h. Let l be k(-2). Suppose 4*r - 2 = 6. Sort r, l, 1 in increasing order.\nAnswer: l, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111995 - -196624. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -146, 45006 in decreasing order.\nAnswer: 45006, 4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-4)\/(-6). Let h = s - -1. Suppose d - h*d + 15 = 0. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -318664?\nAnswer: 11153240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -226 (b) -44\/7 (c) 1 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 423 = 63. Let b = -55 + x. Solve -n + 2 - 1 = 0, 3*t - b*n = 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11745 and 8?\nAnswer: 93960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15136079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 110100000010 (base 2) to base 12\nAnswer: 1b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2208826, -2208829, -2208832, -2208835, -2208838?\n\"Answer: -3*j - 2208823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894237 or 895278?\nAnswer: 894237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-648)*-18*156\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100011000011001?\nAnswer: 100011000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141768 and 180?\nAnswer: 708840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-106)\/110)*(-15)\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80669*a**2*x - a*d*x**3 + a*d*x + 13741*d*x**3 - 73*d*x**2 wrt a.\nAnswer: 161338*a*x - d*x**3 + d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23212 - -11?\nAnswer: 23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -10, 1, 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - 3 = 0. Suppose 4*u = -2*b + 10, -2*b - 3 + 9 = 2*u. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 - 10\/(-25). Let y(w) = -w**2 + 51*w - 591. Let q be y(33). Which is the closest to d? (a) -0.4 (b) -1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.047 and -0.26805229.\nAnswer: -0.22105229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20722 or 20721?\nAnswer: 20721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -3884?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*y + 304*y - 99*y - 108*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s - 9 = -64*s - 3*v, -4*s + 3 = v. Let j = -21 - -20.64. Which is the fourth biggest value? (a) j (b) s (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26704369 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -89. Let o = 3709 + -3691. Solve 0 = 4*y - k*z + z, -2*y + 4*z = o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1992, 1956, 1920?\n\"Answer: -36*r + 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 + 63057*b**4 + 1641975*b**3 - 9785925*b**2 = 0 for b.\nAnswer: -31, 0, 5, 21045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-48)\/18. Let c be 2\/f*-2*-1. Let a(v) = -v - 1. Let h(r) = 2*r + 3. Let g(l) = -3*a(l) - h(l). Give g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/5, 0.04, 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*t**3 + 0 - 8\/11*t**2 + 0*t = 0 for t.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*x - 74, -4*x + 3*z + 62 = 6*z. Let v(q) = -x - 11*q + 47 + 14*q. What is v(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*t - 83346 - 149728, 233092 = 4*t - 4*s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 52. Let y be 4 + (-320)\/25 + c\/10. Let d(v) = -3*v - 17. List the prime factors of d(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/22 and 31\/112686056.\nAnswer: 1239546616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -44*v**2 - 3073*v - 52973. Give s(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69736700, -139473396, -209210092, -278946788, -348683484, -418420180?\n\"Answer: -69736696*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -0.7. What is the closest to 2 in s, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57296909 a multiple of 1881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -118?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*k + 106*k = 0. Let j be (-4)\/18 - (-74)\/9. Solve -4*q + k*q = -j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 866*p**2 - 867*p**2 - 11*p + 9)*(5*p - 10*p + 15*p) to the form h*p**3 + b + w*p + s*p**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1565 + -5?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 389747694 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 15. What is the second derivative of -6*f - x*f + 10*f**3 + 20*f wrt f?\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 6. Let m be u(-4). Let p be (-3 - -7) + (-4 - m). Suppose -p*v + 15 = v. Solve -v*o = -1 + 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - o + 39 = 0, 3*h - 6*h + 22 = 2*o. Suppose 54 - h = 2*s. Suppose -2*y - 2*l = l - 4, 3*y - 4*l = s. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -6704\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 5*w)*(-6*w**2 - 4*w**2 - 16*w**2)*(0*w**2 - 5*w**2 + 3*w**2).\nAnswer: -104*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p + 28. Let j(a) be the second derivative of 15*a**3\/2 - 56*a**2 - 22*a. Let s(c) = 2*j(c) + 9*y(c). What is the derivative of s(u) wrt u?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 13796880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8085\/(-495)*36\/14.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one fifths of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**2 + g**2 - 3*g**2)*(-84*g + 71*g - 72*g) + 4*g**3 - 13*g**3 - 4*g**3 to l*g + h + c*g**2 + z*g**3 and give z.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1. Let v(a) = a + 2. Determine -2*k(j) - 3*v(j).\nAnswer: -3*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 - z + 0 - 2 - 1 - z. Determine s(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088827 is divided by 15359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**2 + q - 4. Suppose -i - 28 = -27. What is l(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 534585 and 42000?\nAnswer: 1496838000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/154, -5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102477 - 6*f**3 + 102477.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*(-20)\/6. Let s(f) = -f**3 - f**2 - f + 2. Let x be s(0). Let c(i) = -11*i - 10*i - x - 5*i + 28*i. Determine c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(6)*1 + sqrt(55))\/(2*sqrt(44)\/sqrt(4)) + (sqrt(6000) - ((sqrt(6000) - 1*sqrt(6000)) + sqrt(6000)))\/(-2*sqrt(432) - sqrt(432)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, 420545 in descending order.\nAnswer: 420545, 5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and ((-396)\/(-77))\/(-9)*-126?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 603294055.98 - 0.5.\nAnswer: 603294055.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1902\/(-8)*(-580)\/87?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.4, 0.1, 4\/3, -12\/83?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142744 is divided by 71412.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.703 + -1784.297. Let k = 1786.98558 + p. Let l = -0.015 - k. Round l to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2315, -2334, -2363, -2408, -2475?\n\"Answer: -m**3 + m**2 - 15*m - 2300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 2*h**2 - 3. Let r(s) be the first derivative of -5 - 4*s + 0*s**2 - 3\/4*s**4 + 2\/3*s**3. Let q(t) = 3*g(t) - 2*r(t). Give q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckc when three letters picked without replacement from cccckcckccck?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 7:00 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -17. Suppose 0*b + b - 68 = d. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0556012853 to 4 decimal places.\nAnswer: -0.0556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6 + 25*v - 2 + 4. List the prime factors of q(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1161089, -1161087, -1161085, -1161083, -1161081?\n\"Answer: 2*f - 1161091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 2. Let z(a) = 7*a - 37*a + 10*a + 17*a. Calculate s(z(o)).\nAnswer: 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1314 divide 2313197190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 11) to base 5\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 375540\/706698 + ((-13)\/9 - -1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8) - (-5)\/(-20))\/(114\/(-2204)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g - 2*i = -34, 78 = 5*g - 2*i. Suppose -j = -6*j - 80. Let s = j - -23. What is the highest common divisor of g and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 + 12*w + 18. What is the hundreds digit of i(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*u + 41*u + 1728. Solve -u*p + 10 = -38*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5906)\/(-8))\/(9\/(21 + 15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 14*k - 2*k + 14 - 2*k**3 to b*k**3 + q + n*k**2 + t*k and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1966575 times -0.1\nAnswer: -196657.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.3, 0.2, 6\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3604*v**3 - v**2 - 21*v - 20. Let b be n(-1). Calculate the highest common divisor of b and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -20 - 0. Let h = 13 + n. Calculate the least common multiple of h and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 319*v + 157*v - 72*v + 114*v as l + d*v and give d.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65581 and 12.\nAnswer: 786972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 5*p**3 + 5 + 2*p - 6 wrt p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/165 + 52113520\/1320. Round j to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 691625357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 171\/16 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 + 5*c**2 - 33*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2758 (base 15) to base 16\nAnswer: 20d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 2*g**2\/5.\nAnswer: -2*g**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - g**5 - 6*g**5 - 2*g**5 + 5*g**5 + 13*g**5 + 22651 - 22651 + (3*g**2 - 2*g**2 - 3*g**2)*(-2*g - g**3 + 2*g).\nAnswer: 11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5844 - -2.66. Let v = j + -0.106. What is v rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414932 + 2*p**2 + 414932.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -0.1. Let q = -2241.463 - -1836.47. Let b = q + 405. Does v = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -37*p**3 - 4*p**2 - 24*p - 7. Let q(s) = -37*s**3 - 3*s**2 - 20*s - 6. What is 5*c(m) - 6*q(m)?\nAnswer: 37*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2593499 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*j**4\/7 + 48330*j**3 + 208823187*j**2\/7 + 166896180*j\/7 + 4766916 = 0. Calculate j.\nAnswer: -3773, -737, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 2090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/39*(-6 - (-477)\/78).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78186 divided by -6.\nAnswer: 13031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 30*n - 128. What is the units digit of d(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 6. Let j be h(5). Suppose -5*p - 5*q = -105, p - 3*q - 16 - 1 = 0. Let r = j + p. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1484.403 litres to millilitres.\nAnswer: 1484403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/7 + 2*l + 33\/7.\nAnswer: (l + 3)*(l + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 7*n = -3*n - 4, n = -5*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 1426*i**4 - 264542*i**3 - 3654030*i**2 = 0. What is i?\nAnswer: -349, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4445*x**2 - 854 - 344*x**3 - 4445*x**2 - 1445*x**3 with respect to x.\nAnswer: -5367*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/4 + 30*i**4 - 245*i**3\/2 + 185*i**2 - i + 12. Factor j(a).\nAnswer: 5*(a - 1)**2*(a + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h + 127*h - 21280. Calculate the smallest common multiple of h and 4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**6\/120 - u**5\/12 - u**4\/12 + 5*u**3\/6 - 2*u**2. Suppose 14*f = -6*f + 100. What is t(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11*r + 17 = 8*r, 5*r + 31 = 3*m. Solve 2*v - 19 = -3*y, 4*y = -m*v + 30 - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 77\/59, 3, -1\/6 in decreasing order.\nAnswer: 3, 3\/2, 77\/59, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006518.31 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1111 or 1089?\nAnswer: 1089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4879 - 344. Suppose z - 222 = c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24741818809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*v - v = -80, l - 4*v = -40. Let a = l + 29. Suppose 5*f = -a + 99. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - 83. Suppose -42 = -p*x - 14. Solve -4*j - 2*c = -2, x*j = 6*c - c + 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5 = 5*d, -3*i + 5*d + 38 - 3 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.813 times 1\nAnswer: -0.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4632610 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7900*d + 7360*d - 3240 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 4:33 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 7. Let d be r(6). Let j(l) = -6*l**3 + l + 4. Let b = -4 + 7. Let q(y) = 3*y - 3*y + y**b + 0 - 1. Give d*j(h) + 4*q(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.585727 milligrams?\nAnswer: 7585.727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1655\/12 + -9457\/60. Let v = -39\/2 - g. What is the nearest to 2 in 1\/3, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1947\/5 + -388. Let t(q) be the first derivative of 3\/2*q**6 + 0*q - 5 + q**2 - 11\/4*q**4 + 7\/3*q**3 - j*q**5. Let t(n) = 0. What is n?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(125) + -3 - (sqrt(125) + (sqrt(125) + sqrt(125) + 2 - sqrt(125))*-1))**2 + 1*(-2 + sqrt(125)*2) + -2)*-4.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 234 = 269 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2\/3 + 2800*w\/3 + 490000\/3 = 0?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 49*(-1)\/(6\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (9 - (6 - 6)) + -1 + 17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**3 - 9 - 111*i**4 + 18*i**2 - 49*i**2 + 27*i**2 wrt i.\nAnswer: -2664*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose -t*u + 2*u = 4. Let b(s) = -s**2 - 2*s. What is b(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28\/5*u**2 + 4*u**4 + 36\/5*u**3 + 4\/5*u**5 + 8\/5*u + 0 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/2)\/32)\/((-2146)\/1733968)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*w - 53195, -5*w + 4*w = -4*m + 212789. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-2\/3))**(1\/2)\/(j\/j**(-2\/3)*j*j*j*(j*j*j**(-3\/5)*j*j)\/j*j))**(5\/6) assuming j is positive.\nAnswer: j**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 + 4 = 0. Suppose -3*n + 6 = -0. Suppose -17800 = n*s - b*s. Round s to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 46*a + 155 = 0. Let k(h) be the third derivative of 0 + 4\/15*h**3 - 1\/75*h**a + 0*h - 1\/30*h**4 - 10*h**2. Let k(j) = 0. Calculate j.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -4 (b) -6 (c) 0.01 (d) -207 (e) -2\/3 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -125163 (base 7) to base 10\nAnswer: -23418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/30*(-1)\/(-15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(22) - sqrt(22))*-1 - sqrt(1078)*-2)\/(((sqrt(110)*2 - sqrt(110))*2)\/(2*sqrt(250) + sqrt(10))).\nAnswer: 143*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 11. Let p be i(-4). Solve p = 3*j - 3*x, x + 7 = 3*j - 8*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*3*-5)\/(sqrt(44)\/sqrt(4)*-5).\nAnswer: 14*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1920*l - 451191. What is n(-235)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6627, 13254, 19881, 26508, 33135, 39762?\nAnswer: 46389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16038 = 15107. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3909313\/193032 - -10183\/383. Let w = g + 5\/126. Find the common denominator of w and -117\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*q + 5*p = 25, -3*q = -5*p - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21345777 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 0 - (2 - 14 - -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 + 7476*k**3 + 4797426*k**2 + 174287988*k + 1630487907 = 0.\nAnswer: -1227, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 3*j + j)*(-3*j - 5 + 5 + 6275*j - 4056*j - 4730*j + (-2 + 1 - 1)*(0 + 0 + 2*j)) in the form p*j + o + t*j**2 and give t.\nAnswer: 5036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = 16. Let h(b) = 4*b. Let a(n) = 2. Let y(v) = 4*a(v) + h(v). Let q(p) = 2 - 3*p + 2*p + 2*p. Calculate l*q(j) + 2*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.868 rounded to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 30*o**2 + 30*o + 21. Let i(w) be the third derivative of w**5\/10 + w**4\/4 + 2*w**3\/3 - 90*w**2. Let n(g) = -11*i(g) + 2*j(g). Factor n(u).\nAnswer: -2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4 + 21*s**3 - 120*s**2 + 100*s = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.95874 + -0.95874. Let t = 6.304 - 0.004. Which is the smallest value? (a) l (b) t (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 273*o + 10192. What is h(167)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.8 + 6.8. Let g = -0.62 - -0.2. Let r = 0.29 + g. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 2*f**2 + f**2. Let g be (2*3)\/((-3)\/(-2)). Let c(v) = v**2. Let z(y) = g*c(y) + 5*a(y). Let l(n) = -4*n**2. Determine z(l(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333 divided by 5?\nAnswer: 4333\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 126, 193, 260, 327, 394?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156324 divided by 6.\nAnswer: 26054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (4 - (3 + 2)) - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.88 and -1.\nAnswer: -10.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 85 = 5*x - n, 11 = -x + n. Let j(q) = 16*q**2 - 664*q + 201. Let w be j(41). Let d = x - w. List the prime factors of d.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.809237 - -230756?\nAnswer: 230751.190763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3384*n. Let c(o) = -1854*o**2 + 2. Give c(l(t)).\nAnswer: -21230999424*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22238398.\nAnswer: 2, 7, 13, 19, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -372\/13 or -44?\nAnswer: -372\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4 - 1554*s**3 - 166683*s**2 - 642060*s = 0. What is s?\nAnswer: -369, -145, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1203870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21b + -17?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1946)\/1112)\/((-35)\/60*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -20*q + 23*q, -4*a + 100 = -3*q. What is the remainder when 3358 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/(-4)*-1*1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6891 + -41467\/6. What is the common denominator of q and (-7)\/12*78\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177985633.\nAnswer: 7, 41, 620159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 + 13 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5459\/5 + -1075. Let s be (-182)\/(-10) + -1 + -1. Let a = o - s. What is the second smallest value in -5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 17. Suppose 0 = -4*a + 6 + 2. Suppose q + 3 = a*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 52218?\nAnswer: 52218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3166 + 3192)\/(5\/((-20)\/8) + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j**3)*(-1 + 1 - 2) - 462 + 8*j + 463 - 5*j + 7*j**2 - j**3.\nAnswer: 3*j**3 + 7*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 5*c - 4. Let o be v(-7). Suppose 3*j + 2573 = -3*g + 2*g, 4*j + 3438 = -5*g. Is j\/(-9) - (-4)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n**(-2\/13)*n))\/n)\/n**(-4\/5) assuming n is positive.\nAnswer: n**(62\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 680148140364116 take away -5?\nAnswer: 680148140364121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*9\/90*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8810000 rounded to the nearest one hundred thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -6 - (14 - (19 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 2:48 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/1)\/(3\/4 - (-8)\/32). Solve u = 2*j + 9 - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*1360.8.\nAnswer: 81.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) 7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41135966 or 41135961?\nAnswer: 41135966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 867*k**2 + 34*k. Determine j(1).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 176b + -37d?\nAnswer: 13dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-456050)\/(-800) + (-3)\/48 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5076913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 7*k - 3. Let l be p(7). Let a = l + 5. Solve 11 = 4*v + a*i + 3, -v + 2 = -2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g*g)\/(g**(-2\/15)\/g*g*g))**(-13)\/(g**(-10)*g*g\/(g\/g**(4\/9))*g)**(3\/16) assuming g is positive.\nAnswer: g**(-5479\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**2. Let v(k) = 548022*k. What is v(y(c))?\nAnswer: -4932198*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 5*h. Suppose 3*k + 2*r - 73 - 51 = h, 0 = -2*r + 10. Solve 5*q = -2*n - 14 + k, 4*q - 3*n - 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) 22 (d) 0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 272.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 116*h + 76. Let y(d) = 2*d**2 - 39*d + 25. Let m(c) = -3*o(c) + 8*y(c). What is the hundreds digit of m(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let r be 16\/(-42) + 5\/((-90)\/(-12)). Let m = 2086 - 8345\/4. Which is the nearest to r? (a) -1\/7 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/3 - 7*c**2. Let u(r) = 2*r**2. Give u(g(h)).\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -1\/3, -5\/2, 1\/6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p. Let s be r(-2). Suppose s = -2*g + 5*g + v - 51, 0 = 5*g + 4*v - 85. Solve 3*u - g = -c - 3*c, 19 = 5*c + 3*u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 + 5*y**2 + 8*y**3 - 10*y**2.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -11589 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 269*k + 10226. What is h(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110\/(-66) + (-183354)\/(-9)?\nAnswer: 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1277 or -1278?\nAnswer: -1278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912131 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 16. Let y(f) = -f + 11. Let x be y(k). Let z(p) = -5*p + 1. What is z(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -16. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y**3 - 4*y + 47*y**3 + 317 - 8*y**3 - 21*y**3 - 8*y**3 in the form r*y**3 + a + g*y**2 + f*y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 3476?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (15 - -2) + (12 - 13) + -21.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d**3 + 828*d**4 - 4*d**2 + 828*d**4 - 11*d**5 - 1647*d**4 + 10*d**5 + 24*d = 0. What is d?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 - -508. Does 5 divide (10\/j*-5)\/(1\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 5*l**4\/3 + 2*l + 983. Let t(b) = -b**2 - 11*b. Determine t(y(v)).\nAnswer: -400*v**4 - 220*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -55. Let j = q - 25. Put -3, 3, j in decreasing order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 h, and 1 v when four letters picked without replacement from vhhhvehwe.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, -362, -100\/13?\nAnswer: -100\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (((-8 - -2) + 6 - 11) + -8)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116042\/77 - 1507. Are 1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/955? (a) 0.1 (b) -4 (c) 5\/7 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a4a2 - 5?\nAnswer: 17a49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -58?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34054 is divided by 198.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35151 is divided by 338.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93720 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j = 16*j + 48356231. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*n - 581*n + 126*n - 3 + 223*n + 3.\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -26. Let i be (-4 + (-158)\/(-38))*-3. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 4. Let c(f) = -124*f + 9. What is -c(k) - n(k)?\nAnswer: 121*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -18. Suppose -8420 = -8*p - 8364. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2. Let a(i) = 3 - 3*i + i**3 + 9 + 27*i**2 - 23*i**2. Let q be a(-5). Let y(z) = 5*z - z**q - 5*z - z**2. Determine c(y(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*v + 1 = -4, -4*v = 2*m. Solve -3*i = 3*b, b - 4*i - m = 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:59 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/10 + 3\/(-2). Suppose q = -6*i + 3 + 51. Calculate the highest common divisor of i and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 14. Let l(i) = 6*i**2 + 56*i. Determine l(h(t)).\nAnswer: 6*t**2 + 224*t + 1960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1763, -3508, -5253, -6998, -8743?\n\"Answer: -1745*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, k: 9, l: 1, z: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624302564, 624302562, 624302560, 624302558?\nAnswer: 624302556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -475, -1\/7 in descending order.\nAnswer: 3, -1\/7, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01267911005 rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 7:31 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-19)\/(-114)) - -571. Let d = a + -174. What are the prime factors of d?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -2*o + 5*f, -594*o + 589*o + 3*f = 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**2*s**2 - 1268*n**2 - 15*s**2 + 752 wrt n.\nAnswer: -6*n*s**2 - 2536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 28 = 4*a + 25*y, -6 = 2*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3742 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10403354 - 4?\nAnswer: -10403402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j + 13. Determine q(7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -v*x + 4*x = 0. Solve -1 + x = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 6, b: 4, i: 1, k: 2}. Give prob of sequence utu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 13666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -93, -180, -295, -438, -609, -808?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/4 - 2*q**2 + 2*q - 36. Is 11 a factor of k(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1709511 + q**3 - 1709503 + 3419014.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539813298.\nAnswer: 2, 3, 41, 829, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.164, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 - 4*f + 2. Let a = 77 - 74. Calculate b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -31. Let i(c) = f*c - 1 + 7*c**2 - c - c**2. Determine i(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -40, -63, -90, -121, -156?\n\"Answer: -2*b**2 - 13*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p**2 + 1 + 31*p**3 + 33*p - 32*p**3 - 4. Is r(18) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.1. Let i = -0.03 - -0.03. Which is the second smallest value? (a) i (b) u (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 20.8. Let k = -17.8 - l. Let h = -58 + 173\/3. Which is the nearest to h? (a) -2\/3 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*u = 270 + 700, -2*l + 4*u - 400 = 0. Let a be (-18)\/(-12)*l\/15. Let c be (-4)\/(-18) - (-656)\/(-36). Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4749, 4750, 4753, 4758, 4765, 4774?\nAnswer: 4785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 46867 = -5*s - 8499, 15344 = 2*s + 2*q. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75037172 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 9, m: 1, j: 2, y: 3, c: 2}. Give prob of picking 4 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618336221 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 3*h + 4. Calculate s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4396 and -49\/220?\nAnswer: 241780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*1 + 2 + 1 - (3*sqrt(65)*-1)\/(-6*sqrt(10)\/sqrt(2) + sqrt(5)).\nAnswer: 3 + 57*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - b7?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-77))\/(10983\/(-17259))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 15. Let o be d(-3). Let n(j) be the third derivative of -1\/80*j**5 + 0*j**3 + 1\/120*j**6 + 4*j**2 - 1\/96*j**4 + o + 0*j. Factor n(h).\nAnswer: h*(h - 1)*(4*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -965 or -964?\nAnswer: -965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*c**3*g - 24479*c**3 + c**2*g**2 + c**2*g - 4*g wrt g?\nAnswer: -19*c**3 + 2*c**2*g + c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -11 - 19. Suppose -y = -4*b + y + 348, -y = -x*b + 432. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 339?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5783 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 + s**2 + s**2)*((4 - 3 + 1)*(-3 + 3 + 1) + (6 - 1 + 0)*(-1 - 5 - 12) - 3 + 4 - 2 + 32 + 1 - 7) in the form c*s + m + n*s**2 and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 54. Let c = p - -95. What is the third derivative of 2 - 3*n**6 - 38*n**2 - 2 + c*n**2 wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -136320?\nAnswer: -1\/11360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 - -85 - 61) + 2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 11:40 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-49)*(x\/(x**(-30\/13)*x))\/(x*x**(-30)))**(2\/39) assuming x is positive.\nAnswer: x**(-460\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 219 + 217 - 2*o**3 - 14*o**2 to the form w*o**3 + n*o**2 + m*o + q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*f + 3 - 3 + 22*f as k + m*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/2 + 2035*s**3\/2 - 647448*s**2 = 0.\nAnswer: -2544, 0, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.78, 0.5, -4, 0 in ascending order.\nAnswer: -4, -0.78, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xngxxssgxgdqqd. What is prob of picking 1 d and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 14. Let c be 3 + 6*(-5)\/u. Suppose c = 3*v - v - 92. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8472, -16957, -25442, -33927, -42412, -50897?\nAnswer: -59382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.82386 to 1 dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (4 - (4 - -1))) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 115672*c + 115668 = 0 for c.\nAnswer: 1, 28917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362436557 and 1211.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(1014*w**2 - 525*w**2 - 535*w**2)*(-2*w - w + 5*w).\nAnswer: 368*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2\/((-2)\/131). Let z = -12993\/4 + 62313\/20. Let d = z - l. What is the biggest value in d, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 46630 = 2*r, 0*r - 116575 = -5*z + 4*r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.579818 nanometers in kilometers?\nAnswer: 0.000000000001579818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -597, 2, -3, -2592, -5, 0 in descending order.\nAnswer: 2, 0, -3, -5, -597, -2592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221111 - -1311203?\nAnswer: 1030032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 15*m**2 + 17*m + 12. Determine r(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -38, -4\/153, 4\/9?\nAnswer: -4\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 12 + 9 - 423*q**3 - 119*q**3.\nAnswer: -542*q**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -7.156221?\nAnswer: -0.21468663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -26, 3, 22, 5 in increasing order.\nAnswer: -26, -2, 0, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)\/(j*(j\/(j*j\/j**(21\/5)))\/j) assuming j is positive.\nAnswer: j**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -27 - (4497 + -4450).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -71. Suppose -o + 4 = -9. Calculate the remainder when o is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 2, d: 1, s: 1, r: 1, o: 1}. What is prob of sequence gs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1, 360.1, 2, 4\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/2399922 and -149\/8571150.\nAnswer: 59998050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4043693*h**5 + 216*h**2 + 12 wrt h?\nAnswer: 242621580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.114991535 to four dps.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ea529 + 3?\nAnswer: 1ea52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 18705939*t + 56117790 = 0. What is t?\nAnswer: 3, 6235310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 12 = 4*a, -a + 4*a = -5*v - 10*v - 189 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 822157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -302, 5, -0.3.\nAnswer: -302, -0.3, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 700 + -695. Calculate the remainder when 15 is divided by -1 + -7 + (27 - h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58538 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 2*f - 3. Let h be m(-3). Which is greater: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 + 1 = 0, -5*s + 4*i = -12. Let y(x) = -x - 3*x + s*x + 2*x. Let l(z) = -11*z**2. Calculate l(y(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28160 times -14?\nAnswer: 394240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 21. Suppose -4*z + 271 = 211. Let s be b(z). Solve -2*g - g - s = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52382 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11457 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 6*c + c)*(16 - 12*c - 16) - c**2 + 4*c**2 - 2*c**2.\nAnswer: 133*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 1243003135 - 1243003135.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/114, 1\/5, 790\/11, 0?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4515\/38, 4\/7, 1, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 4985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**4 + 16*x**3 + 31*x**2 - 36*x - 6. Let s(u) = 15*u**4 + 225*u**3 + 435*u**2 - 505*u - 85. Let r(z) = 85*a(z) - 6*s(z). Let r(o) = 0. What is o?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 829253, 829255, 829257, 829259, 829261?\nAnswer: 829263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20402229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 29*z - 4*q + 4 = 0, -4*z + 4 = 55*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/10 + q**4\/12 + q**3\/6 - q**2\/2 + 3*q. Let h be l(1). Suppose h*o + 33 = 6*o. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 7 - 19 = 0, -7 = 2*d - 3*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 242, 4, 220 in descending order.\nAnswer: 242, 220, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*-2*(0 + sqrt(1900)).\nAnswer: -80*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r + 14 - 58 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + sqrt(275) + -1))**2 - sqrt(88)\/(sqrt(32)\/sqrt(4)).\nAnswer: -11*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -69*k**3 + 1. What is j(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8133749 and 403?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/7 + 2916*h**4\/7 + 8742*h**3\/7 + 8740*h**2\/7 + 2913*h\/7 = 0.\nAnswer: -2913, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q - 3. Let c be 30\/(-25) + (-4)\/5. Let g be w(c). Let s(k) = 64*k + 2. Is s(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -7, 106 in descending order.\nAnswer: 106, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-6)\/168*6*16\/(-48).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l. Let s(z) = 3*z**3 - 4*z**2 + 5*z + 3. Let u(i) = -4*i**3 + 5*i**2 - 6*i - 4. Let m(q) = -5*s(q) - 4*u(q). Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2090)\/(-1425)*3\/16 and -41\/130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/66 and -53\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7221 divided by 29?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240))\/(sqrt(6)\/(sqrt(8)\/sqrt(4))).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.405, -0.2, 1\/3, 7, 2 in descending order.\nAnswer: 7, 2, 0.405, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from wurr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -167*d + 4. Let x(z) = 643*z - 15. Let u(q) = -15*c(q) - 4*x(q). Let f(i) = -33*i**2 + 1. Give u(f(o)).\nAnswer: 2211*o**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3609701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150? (a) 0.2 (b) 0.14 (c) 4 (d) 1\/3 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*j - 16 = 3, j = 5*g - 25. Suppose 0 = -28*c + 5 + 51. What is the first derivative of -c - g*s - 11 + 12*s + 11*s wrt s?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b9 + 10?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 + 276*r**2*w**3 - 172*w**3 + w with respect to r.\nAnswer: -4*r**3 + 552*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/27 + ((-64)\/9)\/(-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aowo when four letters picked without replacement from {o: 5, m: 1, a: 11, w: 2}.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -268230 (base 9) to base 5\nAnswer: -20212420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**3 - 3*h**2*p**2 - 518*h*p**2 wrt h?\nAnswer: -102*h - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 63. Suppose -k*i = -5*i - 720. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*n**2 - 6*n**3 - 14*n**2)*(0 - 7 - 6)*(4 - 2 - 3)*(10 - 6 + 11) to d*n**3 + b + m*n + k*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 23. Let j(d) = 4*d + 1. Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15 + 11 + (1 - -114) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 427. Let q(j) = -145*j + 6825. Give -65*h(c) - 4*q(c).\nAnswer: -5*c + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*f - 672 = 419*f. Put -7, 4, f in descending order.\nAnswer: 4, -7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) 1 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*z + 7*z - 6*z)*(2*z**2 + 0*z + 1 - 3 + 2*z) to o*z**2 + k + f*z + n*z**3 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - g**2 + g + 1. Let x(d) = -5*d**3 - 3*d**2 + 3*d + 3. Let z = 284 + -283. Suppose 5*h - 1 = 4*t, -z + 2 = 3*t - 2*h. What is t*x(m) - 3*c(m)?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6578027 is divided by 81210.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6.51+-0.5\nAnswer: 6.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 424675\/18 - 23599. Calculate the common denominator of -73\/10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-36) - (-6)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - 5?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**9\/168 - 17*o**6\/360 - 10*o**3\/3 - 6. Let v(h) be the third derivative of j(h). Find the third derivative of v(n) wrt n.\nAnswer: 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 8*w**2 + 30*w - 6. List the prime factors of t(-14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2973150 and 8100.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 5*b + 7. Give g(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2270000 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - f - 800 = 0, 5*a + 4*f = -0*a + 979. Suppose -2*v = 3*i - 965, 0 = 5*i - 4*v + a - 1822. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -332? (a) -2 (b) -2\/9 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.26045 - 0.02655. Let q = x - -0.187. What is the smallest value in -4\/5, q, 2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.5 - -88.5. Let j = 1.754 - -0.246. Suppose 3*b = -3*w + w + 20, -28 = -3*b - 4*w. What is the second smallest value in j, b, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/14)\/((-84)\/(-196)))\/((-4)\/(-78)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -742 less than -768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 0.2, -2\/3, -0.1, 4 in decreasing order.\nAnswer: 4, 0.2, -0.1, -2\/3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -25\/42*x**7 + 0*x**2 - 2*x - 2\/3*x**6 + 12 + 5\/3*x**4 + 3\/2*x**5 - 5\/6*x**3. Let g(q) = 0. Calculate q.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1.073524?\nAnswer: -6.073524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/15 - o**3 + 5*o**2. What is the tens digit of q(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2 - sqrt(55))\/(-2*1*sqrt(5) - sqrt(5)))**2 + 0 - (4 + (sqrt(11) - sqrt(99)*2) + 5 + 5).\nAnswer: 149\/9 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111250251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2530 divide 510255460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29.938 or -0.8?\nAnswer: -29.938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1057440 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-7) - 88\/56. Which is smaller: -3\/19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17151587 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -43118?\nAnswer: -43134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*u**6 - 52*u**5 + 9027*u**3 - 946*u**2 - 2027*u - 1 wrt u?\nAnswer: 360*u**3 - 3120*u**2 + 54162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*p**5 + 0*p + 0 + 3\/8*p**3 + 1\/8*p**2 + 3\/8*p**4.\nAnswer: p**2*(p + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24d3 + 37?\nAnswer: 250a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 9733 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*b - 1, 59*b + 3 = 3*x + 65*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 315\/49 + (1 - 7). Which is the third biggest value? (a) h (b) 0.15 (c) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5707547940 to the nearest 1000000.\nAnswer: 5708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*r + 19. Suppose 4*l = -5*z + 8 + r, 2*z - 2 = l. Suppose 18 = -5*u - w, -l*w - 15 = 2*u + 3. Which is smaller: -17\/4 or u?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 7*v + 84 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -343*y + 1487 + 3365*y - 1485 to v + d*y and give d.\nAnswer: 3022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1968 by 3.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Suppose -5*r = 2*a - 35, -a - 2 = d. Suppose -q + 12 + 3 = 0. What is the remainder when q is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((26 - 17) + 20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*w + 39086612 = -7482185. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 31*r**2 - 150*r + 22. Give j(6).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5364 - -306. Calculate the least common multiple of f and 567.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10991, 4, -5, 2 in decreasing order.\nAnswer: 4, 2, -5, -10991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagkggggggg. What is prob of sequence ag?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100332 (base 4) to base 2.\nAnswer: 10000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + 584\/(-16))*10\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**3 + 28*b**2 - 110*b + 39. Let v(q) = -7*q**3 - 14*q**2 + 57*q - 20. Let t(s) = -8*g(s) - 15*v(s). Solve t(n) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 5.66 (b) 196 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430715551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 609 = 4*s + 6*k, -10 = -2*k. What is the greatest common divisor of s and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0034545 - 0.3.\nAnswer: -0.3034545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 33. Let i be d(-10). Suppose 0*c = 3*c - i. Let u be (2\/8)\/(c\/12). Put -3, u, 0, -1 in descending order.\nAnswer: u, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5610 = 887*o - 326*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/58 - -143\/116. Which is the nearest to 0.3? (a) 1\/7 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 6*b + 10. Is 21 a factor of r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -4 + 3*q + 1\/2*q**2. Find the first derivative of f(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r*r**(-1))\/r)\/r)\/r)**(1\/4))**46 assuming r is positive.\nAnswer: r**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -145, -2\/15, -1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + t + (-4 + 5 + 4)*(-7 + 4*t + 7) - 4*t + t + t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/(-952)*3\/(-2) + 1.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 1, s: 3, a: 1, v: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**5\/60 + q**4\/24 - 37*q**3\/6 - 11*q**2 + 2*q. What is the remainder when 94 is divided by m(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400214 (base 6) to base 2.\nAnswer: 11110011001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*w - 34 = -9, -4*l = 5*w + 30. Put l, -2, 0 in decreasing order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5269 + -2175. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h + 280 + 530 = -23 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqie when four letters picked without replacement from {a: 3, i: 3, t: 5, q: 1, e: 7}?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.9207 rounded to 1 decimal place?\nAnswer: -134.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 21. Let o be (-4)\/(2 + 3 + 27\/(-6)). Let v be r(o). Solve v - 5 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 5*l**2 - 3*l + 5. Let c(x) = -2*x + 4. Let k = 2 + -4. Let v be (k\/4)\/(2\/(-16)). Let u be c(v). Calculate r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + (-4055 - -3948)\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15*u**2 - 5*u + 2. Let c be g(6). Let q = c - 225. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4880\/11 - 444. What is the common denominator of m and -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, i: 1, l: 9, r: 4, a: 4}. What is prob of picking 3 a and 1 r?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*v**3 + 26*v**3 + 103*v**2 - 2 - 20*v + 16*v**3 - 60*v**3 wrt v?\nAnswer: 6*v + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4154325 is divided by 103858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 647187.7mm in centimeters?\nAnswer: 64718.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 72*l + 70.\nAnswer: 2*(l - 35)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2010?\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251661 (base 8) to base 13.\nAnswer: 30774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/100 + ((-1)\/(-80)*-4)\/((-3)\/(-5)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2858327.\nAnswer: 29, 98563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -322, 0.187, 3?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19105 divided by 10.\nAnswer: 3821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262 or 8?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 98 (b) 0.5 (c) 1 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-156))\/((-5)\/(-15))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22108 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556977 is divided by 37070.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**3\/2 + h**2\/2 - h. Let q be m(3). Let s be (8\/(-10))\/(q\/220). Calculate the greatest common factor of 88 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 129*v**3 - 35184*v**2 + 621156*v + 656208 = 0. What is v?\nAnswer: -98, -1, 18, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 460 + -353. Suppose t + 74 = 5*z - 4*q, 0 = -2*z - q + 62. Which is smaller: z or 37?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24871, 24932, 24995, 25060, 25127, 25196, 25267?\nAnswer: 25340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -1388\/5. Let n = 76\/15 - v. Let g(p) = -p - 2. Let k be g(-2). What is the nearest to k in -0.5, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208.2 - -193. Let i = z + 15.2002. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u**3 + 7*u**2 + 3*u. Let k(j) = -4*j**2 - 78*j**3 - 2*j + 231*j**3 - 79*j**3 - 87*j**3. Give -7*k(s) - 4*w(s).\nAnswer: -9*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 + 5*o**2. Let t be 9*(3 - (-28)\/(-6)). Let n(z) = z**3 - z**2. Calculate t*n(q) - 3*i(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 27 = -0*i + 5*i, 0 = 4*i - 2*o + 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417600 divided by 8860?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from dky.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = -y - u, -2*y + 3*u - 20 = 0. Let o = -4.3 + -0.7. Suppose 6*h + 4 = 2*h. What is the second biggest value in y, o, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/3*w**3 + 0*w + 5\/24*w**4 + 0 - w**2. Calculate the lowest common multiple of g(4) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - k = -0*k + 72, 2*s + 5*k = 82. Solve 0 = s*h + 68 + 62 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36715968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c. Let z(f) be the second derivative of 19*f**3\/6 - 19*f. Give k(z(w)).\nAnswer: 57*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:48 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/3)\/p)\/(p*p**(-2\/21)))\/(p**(3\/5)*p)**(3\/28) assuming p is positive.\nAnswer: p**(-131\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2 + 75122*c - 1 + 0 - 75123*c. Let o(d) = -d**2 + 2. Determine -4*j(u) - 6*o(u).\nAnswer: 6*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/3 - -77\/24. Which is the nearest to -2? (a) o (b) -0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -202 - 0?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 + 47*w**2 - 83*w + 22. What is the hundreds digit of t(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12464, 2, -4, 4 in increasing order.\nAnswer: -12464, -4, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5828.569 weeks to seconds.\nAnswer: 3525118531.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*d = 36, 16*a + 8*a - 105*d = 30*a + 567 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgegcgggccgg. Give prob of sequence gce.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-20) + (-2)\/5)*(-2420)\/(-6622)*-86?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008593 rounded to seven dps?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 + (-21)\/(-6). Let d(m) = -22*m**2 - 9*m. Let r(b) = -11*b**2 - 5*b. Let k(g) = j*r(g) - 3*d(g). Find the second derivative of k(s) wrt s.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -1.2 (c) -0.3 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 24903.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**5 - 1255*d**4\/2 + 58300*d**3 + 298595*d**2\/2 + 30535*d - 59840 = 0. Calculate d.\nAnswer: -187, -2, -1, 1\/2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 625 (b) 2\/9 (c) -3\/2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220 - 1221 = -83*r + 1991 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f - 3*f**3 + 0*f**2 - 12 + 17\/4*f**4. Find the third derivative of v(b) wrt b.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111131121 + 123213?\nAnswer: -111001302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176220601 to the nearest integer?\nAnswer: 13275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -b + 12, -2*p + 3*b - b = 0. Suppose -3*h - 3 = 3. Let a = 4 + h. Solve 0 = 3*u + 12, -2*v - p + 1 = a*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 195, 167, 125, 63?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(5*a**2 - 2*a**2 - 2*a**2) - 2*a**2 - 1 + 7*a + 5*a - 16*a.\nAnswer: -a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156 - -13) + (10 - -8 - -16).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + d - 6 = -2*d, 4*q + 3*d - 6 = 0. Suppose 2*v - 4 = -q*v. Let y = v + 55. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -585, 1279 in decreasing order.\nAnswer: 1279, -4, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 19, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 1 - 188\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.04 - 6. Let d = -0.933 + -0.067. What is the third smallest value in p, -4\/7, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v\/(v**(-3)\/v*v)))*v*v\/(v*v**(-4)*v*v))**13*(v**(-1\/4))**6\/(((v*v\/(v\/(v**(-9)\/v)))\/v)\/(v\/v**(-8))) assuming v is positive.\nAnswer: v**(269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from ssdsgssussdusssudus?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v + 12 = 0, -2*g + v = -10. Solve -m + 2 = -3*z, 3*m - 2*z = 2*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 11. Let l = y - 17. Let w = 0.1 - -0.2. What is the second smallest value in 1\/3, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c6f2 (base 16) in base 10?\nAnswer: 313074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.132 + -0.039. Let h = 3.292 + -6.385. Let w = h + x. What is the closest to 0 in w, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*w**6 - 2*w**2 + 66 - w**5 - 53*w**6 + 110*w**6 wrt w?\nAnswer: 2280*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530860 and 66?\nAnswer: 1592580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i - 8*v + 17, 2934*i - 2939*i + 5*v + 55 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22391956, 22391955, 22391952, 22391947, 22391940, 22391931, 22391920?\nAnswer: 22391907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 1. Let w be z(-1). Let f be (-8)\/(-6)*(-5)\/(10\/(-6)). Let s be (-4 - f\/2)*1\/(-3). Solve 8*c - s*h = 3*c + 11, h = -w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136 less than or equal to 35629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.734246 hours in milliseconds?\nAnswer: 17043285.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81, 260, 541, 924, 1409, 1996, 2685?\n\"Answer: 51*v**2 + 26*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) 0.3 (c) -2\/13 (d) 18.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 5*g + 4*g - 2*g + 0*g + (-3*g + 5 - 5)*(-1 + 5 - 2) + 0 + 3*g + 0 + 1 - 2*g - 1.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-21)*(-1)\/((-15)\/(-18)). Suppose -8*j + 36 = -w*j. Suppose 3*b + 3*k - 93 = b, 3*b - 2*k = 120. What is the lowest common multiple of b and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b + 19*b + 1939*b = -141*b + 13398 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5997 - -1731. Suppose -316*q + 324*q = u. List the prime factors of q.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/27? (a) 0.3 (b) 0.5 (c) -4 (d) -1 (e) -1\/3733\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 80. Let x = r - -84. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s**3 - 18*s**3 - 7*s**3 - 11*s**3 - 11*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - d = -420, -188 = 5*h + 4*d + 40. Suppose -5*a - 198 + 1148 = 0. Suppose 5*i + a = -5*w, 0*w = -w - 2*i - 41. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-30))\/((-65)\/(-325)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijji. What is prob of picking 2 j and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 86148?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/10 + 109*w**4\/12 + w**3\/6 + 2*w**2 + 107*w. Find the second derivative of c(r) wrt r.\nAnswer: -12*r + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.50357 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*i - 105381806657*i**2 + 105381806657*i**2 + 2*i**3.\nAnswer: 2*i**3 - 83*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 + 382*w**4 - 128294*w**3 + 1008148*w**2 - 2132147*w + 1251910 = 0.\nAnswer: -599, 1, 2, 5, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 3 - 3 + (-6*s + 0*s + 4*s)*(4 - 4 - 7*s))*(s + 0 + 0)*(2 + 3 - 2).\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -16. Let h(s) = 5*s - z*s + 0*s. Let t(b) = -5*b**2 + 6*b**2 + 2*b**2. Calculate t(h(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*g - 10 = 466*g. Let o(f) = -39 + 38 - 107*f**2 + 106*f**g - f. Let a(p) = 4*p**2 + 3*p + 3. Give -a(d) - 3*o(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 14*z**2 + 9*z + 15. Let n be r(-11). What is the greatest common factor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57698887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-124140)\/84 - 1\/7). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1946226*m*y - 110249*m + 7 wrt y.\nAnswer: -1946226*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -514 - -514. Which is smaller: 6\/247 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**3 + 7*c**3 - 2*c**3)*(-c - 3*c + 2*c)*(-5 + 3 + 0 + (0 + 1 - 2)*(1 + 3 - 3)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-850)\/(-35) - (-1)\/(-14)*4. What is the second derivative of -2*x + x**5 + x**5 - m*x**5 - 6*x wrt x?\nAnswer: -440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 4, w: 1, m: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -237? (a) -3\/5 (b) 8 (c) -0.05 (d) -2\/7 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-768)\/(-9))\/(-4)*-18. Suppose 22 + t = 2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/2769 and -61\/15.\nAnswer: 13845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -462?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z - 9. Let c be z\/(-12) + (-8)\/(-3). Let f be (-36)\/1*c\/(-6). Solve -5 = 2*p + 2*b + 7, -4*p = b + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = -25. Suppose -3*y + 11 = -n, u = -3*n - 1. Is (62\/y)\/(18\/135) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 + 4*r**4 - 8*r**2 + ((5*r - 3*r - 3*r)*(r**3 + 2*r**2 - 2*r**2) - 5*r**4 + 4*r - 4*r)*(4 - 1 - 2).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41887 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-8 + (-8 - -8) + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.837 rounded to 1 decimal place?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.36 (b) -16 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/9 + 8\/12. Let o = i - -14. What is the third derivative of -2*u**3 - 3*u**2 + u**3 - o*u**3 + 4*u**2 wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 - -295. Put 20, -3, y in increasing order.\nAnswer: -3, y, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8798486?\nAnswer: 2, 17, 258779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2365*x**4 + 5330*x**2 - 2*x + 95043253.\nAnswer: -28380*x**2 + 10660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Let b = a + -3. Solve 0 = b*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrwll. Give prob of picking 1 l, 1 r, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 + 11815*d**2\/6 + 47236*d\/3 + 94456\/3.\nAnswer: (d + 4)**2*(d + 11807)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*(376 - (2 + 2)). Suppose 0 = a - 3, -5*c + 844 = -3*c - 4*a. Let j = c + d. What is the remainder when j is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*j - 121*j - 130*j + 3)*(-j + 6*j - 2*j).\nAnswer: 45*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.616 - 3.616. Let p = 353\/94 - 12\/47. Sort 5\/3, i, p in ascending order.\nAnswer: i, 5\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11 = 4*c + 31, -5*i = -2*c - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 + 115. Let a(h) = h - 8. What is a(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 4:02 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.26161 rounded to 1 decimal place?\nAnswer: -155.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {j: 1, p: 8, q: 1, w: 4, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -1841, 0 in decreasing order.\nAnswer: 0, -65, -1841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 90. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118294748 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*t + 137*t - 5808. What is the greatest common divisor of 231 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184*0.1255.\nAnswer: 23.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6836*0.18\nAnswer: 1230.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9343 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 236.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**3\/6 - x**2\/2 + 11*x. Suppose z - 1 = -2*v + 4*z, -5*z + 13 = 4*v. Calculate the lowest common multiple of u(3) and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0514*8974\nAnswer: 461.2636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -3*f. Suppose f*c = c - 5*l - 28, 10 = 5*c - 5*l. Suppose -3*u - u + 20 = 0. Sort u, -4, c in ascending order.\nAnswer: -4, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41846753 is divided by 13948917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61679 and 0.03408.\nAnswer: 61679.03408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 269.\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24664 is divided by 24555?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/9, 3, 240, -0.5 in ascending order.\nAnswer: -0.5, -0.2, 2\/9, 3, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + o = 249, 0*o + o - 333 = -4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72463.62um to millimeters.\nAnswer: 72.46362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2470*v - 12 = 2464*v. Let u(b) be the first derivative of b**4\/4 - 4*b**3\/3 + 5*b**2\/2 + 1. Let w be u(v). Solve -q = -w + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 3*a + 1084*a**2 - 1110*a**2 + ((0 + 3 - 5)*(3*a - 4*a + 2*a) + 2*a - a + 2*a)*(-a - a + a) to the form m + g*a + j*a**2 and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29*w**3 - w**2 + 1. Let j be x(-1). Let v = j - -45. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 72 = -4*n. Calculate the least common multiple of 12 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 23*v - 71. Suppose -9*q + 77 = 50. Let p be s(q). Let k(a) = 2*a**3 + 3*a - 2. Let b(j) = 10*j**3 + 16*j - 11. Determine p*b(i) + 11*k(i).\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/8 - 1267381*u**3\/8 + 1267385*u**2\/4 + 1267381*u\/2 - 1267383 = 0?\nAnswer: -1267383, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 90599162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2606703mg in nanograms?\nAnswer: 260670.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23365699.9 times -5?\nAnswer: 116828499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -66*w - 2146. Determine d(-24).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2\/5 + 2904*j\/5 + 169494.\nAnswer: -6*(j - 689)*(j + 205)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 77360532?\nAnswer: -77360535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -22*o + 11. Let m(a) = 2*a**2. Give w(m(i)).\nAnswer: -44*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (588*u**2 - 1107*u**2 + 569*u**2)*(0*u + 3*u - u).\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3 + 1\/3*n**3 + 2*n - 1\/2*n**2. Let v be (-5)\/(10\/4) - -2. Calculate m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + n - 13 = 0, -8*h = -4*h + 5*n - 35. Suppose -h*w = w - 30. Suppose -w*q = -q - 36. What is the least common multiple of q and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(5\/(-45)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 1851*x**2 - 21 - 1.\nAnswer: -1851*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1555 by 6.\nAnswer: -1555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - -6. Let p be 1\/(-3) + 1280\/f. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.14 - 0.34. Let m = -3.8 + x. Let o = -0.6 - -0.4. Put 4, m, o in decreasing order.\nAnswer: 4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 5)*(-x**3 + 5*x**3 - x**3).\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*((-21)\/(-12))\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -4807?\nAnswer: 6\/4807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37003, -147934, -332811, -591628, -924379?\nAnswer: -1331058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047251776 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 7:04 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**2 + 253492*u - 84496.\nAnswer: -4*(u - 21124)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3498 and 9646.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -7)\/((-2)\/6). Let y = -6 - x. Suppose y*t = -2*t - 26500. Round t to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151907, 151883, 151859, 151835, 151811, 151787?\nAnswer: 151763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 not equal to -0.132584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 294?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 639370 - 718*f - 639370 + 7*f**2 + (f**2 - 5*f**2 + 2*f**2)*(2 + 3 - 3) - 4*f**2 + f**2 + f**2.\nAnswer: f**2 - 718*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 - v**3 - 13*v**3 - 10*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/40)\/(10\/(-25)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2) - 1)\/((-24)\/(-1008)) - 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 296004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + w + w)*((0 - 3 + 4)*(3 + 4 - 4) - 2 + 8 + 4) to the form v*w + r and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110010001101000010011000 - 10?\nAnswer: 110110010001101000010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883229.4 rounded to the nearest one hundred thousand?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**2. Let a be (-4725)\/(-2520)*(-2)\/(-15). Let w(y) be the second derivative of 24*y + a*y**4 + 0*y**3 + 0*y**2 + 0. Determine w(m(d)).\nAnswer: 243*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2146*p - 2131*p = 397185. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -246 - -4180\/17. Which is the closest to g? (a) -1\/3 (b) -2\/17 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 213914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3 = -n, -c + 18*n + 3 = 16*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 17*b + b**3 - 17*b + (-4*b**3 + 6*b**3 - 4*b**3)*(3 - 1 - 4 - 1 + 0 - 1 + (4 - 3 - 3)*(1 - 2 + 2) + 1 + 3 - 5 - 1 - 1 + 3 - 26 - 23 + 43).\nAnswer: 25*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.07837 millimeters?\nAnswer: 6078370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127373 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, i: 2, s: 1, g: 2, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 81380?\nAnswer: -651040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -125138 divided by 4813?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - 25 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clqlc. Give prob of sequence cc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9*-33.05\nAnswer: 297.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 7, 0, 3 in descending order.\nAnswer: 7, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569995 is divided by 6477.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.475 + -4.475. Put -2.2, 1, i, -5 in increasing order.\nAnswer: -5, i, -2.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*s**2 + 2*s**2 + 2*s**2)*(-830*s**2 - 29 - 6*s + 832*s**2 - 32) to z*s + x*s**2 + o + k*s**3 + n*s**4 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 435 - 225 + 2*u**2 - 276 - 3*u. Let l be x(7). Calculate the greatest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 230, 5, 2\/7, 2\/47, 0.1, 4 in ascending order.\nAnswer: 2\/47, 0.1, 2\/7, 2\/5, 4, 5, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (801\/18)\/(1\/(-2)). Let w = b - -159. Suppose 87 = 4*k - 5*n, k + w = 4*k + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -d + 14. Suppose -14 = -2*l + 2*k - d, -k = 5*l - 11. Suppose -4*w + 28 - 11 = m, 5*m - 39 = l*w. What is the greatest common divisor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 18 + 4 + 13 + 7. Determine a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.047093*0.6.\nAnswer: -0.0282558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*a - 7829 + 1577 - 4385 = -839 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by -3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187 + 191. Factor -64*q + 16*q**2 + 40*q**3 - 31*q**2 - 57*q**2 + 6*q**o.\nAnswer: 2*q*(q - 2)*(q + 8)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((-3*sqrt(70))\/sqrt(10)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751269, 1502546, 2253823, 3005100, 3756377?\nAnswer: 4507654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 307795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 936585 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 13. Let d be m(-10). Suppose 4*y = 2*y + 2. Let x = y - d. Solve 25 = 9*k - x*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1433696712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 4 - 25)*((-y**2 - 3 + 3)*(y - y - y**2) + y**2 - y**2 + 2*y**4 - y**2 + y**2 + 2*y**4) + 432*y**4 - 24688*y**2 + 24688*y**2.\nAnswer: 392*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 + 11*r. Let b(x) = 0*x + 3*x + x**2 - 3*x + 2*x. Let s(p) = -33*b(p) + 6*o(p). Let v(k) = k. Calculate s(v(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3036875 and 184.\nAnswer: 55.8785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1174*q**2*w**3 + 42*q**2*w + q**2 - 1875*q*w**4 + 4*q*w**2 - 103*q wrt w?\nAnswer: -7044*q**2 - 45000*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -653.2 + 653. Let h = 0.03 + -0.04. Let v = -1.99 + h. Which is the third biggest value? (a) 3 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88\/35 - -14\/5. Let m = -16.11 - -16. Let k = m - -0.11. Put j, k, -4 in decreasing order.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1092884 * -0.3\nAnswer: -327865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 94183155?\nAnswer: 188366310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*m**3 + 709*m**3 + 3*m + 68*m**3 + 195*m**3.\nAnswer: 865*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3887*u + 33*u**3 + 128*u**3 + 101*u**3 - 3890*u to the form a + h*u**3 + j*u + s*u**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.03 (c) -0.2 (d) 861 (e) -9\/17 (f) -2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1884*a + 298*a**2 + 1884*a + 416*a**2 - 713*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 + -82. Let u be -1*x + 1 - -2. Let w be u\/(-9) - 1\/3. Solve -3*j - 2 = -j + 2*h, j + 5 = -w*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t - 377. Calculate a(-35).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*(-32)\/(-9)*(-33)\/(-396)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 37*g**3 + 252*g**2 - 596*g + 464.\nAnswer: (g - 29)*(g - 4)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -19, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202346 is divided by 28901?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1)\/(-4)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 363 + 191?\nAnswer: 4f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 353 divided by 3\nAnswer: 353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q = 3*k - 60, 0 = -k + 3*q + 20. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 12*i - 13*i, 0 = -2*i + m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 173\/1185 + -1\/79. Which is the biggest value? (a) -5 (b) u (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48421630.6 to the nearest 10000.\nAnswer: -48420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*242\/880*(-60)\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, 78, 126, 174, 222, 270?\n\"Answer: 48*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -140*d**2 - 295*d - 13. Let x(v) = -70*v**2 - 147*v - 5. Let s(l) = -2*r(l) + 5*x(l). Find the second derivative of s(q) wrt q.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1.1, 4, -0.479, -109 in increasing order.\nAnswer: -109, -1.1, -0.479, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-1)\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 96, 64, -2, -114?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u + 6. Let a be (u - (-1 + 3))*9. Is (-2)\/(-9) + (-480)\/a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**8*v*v))**(-15) assuming v is positive.\nAnswer: v**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-692*v - 286*v + 647*v)*(-4*v + 3 - 3) to b*v + i + w*v**2 and give w.\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 1020*k**2 + 11775*k - 10750.\nAnswer: -5*(k - 10)*(k - 1)*(k + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - d**2 + 7*d + 9. Determine r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose o + 3*o = w - 53, 189 = 3*w - j*o. Suppose -7*p - 312 = -19*p. Calculate the highest common factor of p and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 > 20527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + 8) - (-1 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98666, -197615, -296564, -395513, -494462, -593411?\nAnswer: -692360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*v - 8*v, 5*v - 115 = -5*t. Calculate the smallest common multiple of t and 320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 + 3)*(1 + 17*x**2 + 28*x - 62*x + 21*x) in the form z*x**2 + q + p*x and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 22. Is 25\/i*-11 + 3\/(-2) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvvt when four letters picked without replacement from {t: 3, v: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -g + 3*a, -4*a + 763 - 73 = -2*g. Let o = -207 - g. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 - 249354*j\/5 + 3989408\/5.\nAnswer: (j - 249338)*(j - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*c - 66, n = -4*n + 2*c - 82. Let u = n - -20. Find the second derivative of 14 - i - 21*i**u - 9*i + 8*i wrt i.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-9 + (10 - -3) - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2824 is divided by 242.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 17*p**2 - 16*p + 19. Let s be a(-16). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0.2 (b) 12 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 447704958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27907789 to the power of 1\/2, to the nearest integer?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -4. Is 9 a factor of (-1)\/(a\/(-6))*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 3276?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54354335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/2*(-39 + (-9 - -2)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383.\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632914.\nAnswer: 2, 23, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let m(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/3 - 4*v**3 - 8*v**2. Let u be m(-3). Solve j*x = -u*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117.2254 * -106.\nAnswer: -12425.8924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 292*l**2 - 34*l + 67. Calculate z(2).\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302545.\nAnswer: 5, 19, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + 312\/21 - (-43)\/301 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3423 and 290304630?\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4485 and 92\/195.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.9463 to the nearest integer.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47228658 is divided by 5373?\nAnswer: 5361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + 0 - 3*a**2 + 1\/3*a**3 + 1\/6*a**4. List the prime factors of f(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*g = -13, 3*u - 15 = -5*g + 2*g. Solve 0 = -2*a + 2 + u, 4*f = -4*a + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -90*q - 8. What is the tens digit of g(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/7 - 14862*g**2\/7 = 0. Calculate g.\nAnswer: 0, 4954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*u**2 + 19*u**2 - 32*u**2)*(2 + 0 + 0) - u**2 + u**2 + 2*u**2 to k*u**2 + h*u + z and give k.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 4*d, -4*t = -2*d + 2 + 14. Let h(j) be the first derivative of -2 - 1\/3*j + 1\/3*j**d + 1\/15*j**5 - 1\/6*j**4 + 0*j**3. What is k in h(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13549744 is divided by 2452.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -96*h + 97. Let t be p(1). Let y = -116 - -116.1. Which is the smallest value? (a) -0.02 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h\/h**6*h)\/h)\/h)\/h)\/h)\/(h**(5\/7)\/h)*(h\/h**(3\/7))**(-38) assuming h is positive.\nAnswer: h**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -3. Suppose 0 = -3*g + l*g. Let x = -92 - -551\/6. Is g less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - n**2 + 437 - 2036 - 5*n**2 - 3*n**2 in the form z*n**2 + t + b*n and give t.\nAnswer: -1599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from sssssssssssssjs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + t - 4, 2*t - 7 = 3*y - 0. What is the third smallest value in 2, y, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*c**3 - 3 + (2*c**3 + 7*c**3 - 5*c**3)*(-4 - 1 + 2) as a*c**3 + l*c**2 + i + p*c and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwurjarrwuwww. What is prob of sequence uju?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*x - 16, 2*j = 3*x - 5*x + 8. Suppose b - 5*v - 356 = j, 0 = -4*b - 4*v + 410 + 966. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/4640526 and 83\/187496.\nAnswer: 18562104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.3. Let u = 42.83 + -41.03. Which is the third smallest value? (a) 0.3 (b) u (c) z (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(128\/8)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458 and 71677?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 + -0.24. What is the closest to m in 4, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 90, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 354 + 7237 + (0 - 12). Is 7579 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9818515.\nAnswer: 5, 7, 53, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*1728\/(-3888)*(-15)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**5\/3 - f**4\/24 - f**3\/6 + 10*f**2. Let w = 47 + -25. What is the lowest common multiple of b(-1) and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*b - 2*m, 3*b - 4*m + 61 = 6*b. Suppose 4*u + 1 - 32 = -5*f, f = 2*u - b. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 9*n - 3130. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193724?\nAnswer: 2, 19, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/65 (b) -0.161 (c) -1 (d) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 29, 4 in descending order.\nAnswer: 29, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + -51. What is the highest common divisor of 72 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 17552549?\nAnswer: 35105098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8149*v**2 + 5 + 15*v - 8150*v**2 - v**3 + 15 - 24*v in the form x + u*v**3 + w*v**2 + m*v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (1 - 0))\/(-1). Let g = 8 - q. What is the lowest common multiple of (5 - 25\/15)\/((-4)\/(-6)) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-2988)*-2*((-324)\/(-486))\/((-8)\/9)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:59 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + (-42)\/(-9). Suppose 5*q = -s - 0*s + 4, 0 = -q - s. Sort q, 4, w in ascending order.\nAnswer: q, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101 (base 2) in base 15?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*u = -2, -2 = -2*v - 4*u - 0. Let p(t) = 12*t - 1. What is the tens digit of p(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548.8873 take away -9?\nAnswer: -539.8873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - ((5 - -25) + -9) - 1) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1691?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, x: 2, f: 5, e: 1, w: 1, s: 1}. What is prob of sequence sf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*f**2 + 33*f**2 + 38*f**2 + 241*f**3.\nAnswer: 241*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12 - 1\/(-3). Let v = -19952\/21 - -335096\/357. Let t = 34\/3 + v. Sort -2, t, -0.5, l in ascending order.\nAnswer: -2, -0.5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-626)\/10329*(-6 + (0 - 0))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 215500 (base 7) to base 16\nAnswer: 9457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6716752 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11964)\/4*(-2)\/(-308). Let t = z + -6\/77. Calculate the common denominator of -29\/22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 + 4*f - 4*f + (-5*f + 3*f - f)*(f**3 + f - f).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j = -1662863 + 331785. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 196*h - 795. Let a be i(4). What is the closest to -1.5 in 2\/9, a, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let s = -8 + 13. Suppose -s*f = -3*f. Solve 6*r - 7 = c*n + r, 4*r + 4 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/5 - 252*r**3\/5 + 7938*r**2\/5 - 111132*r\/5 + 583443\/5.\nAnswer: 3*(r - 21)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:13 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*f + 4*k, -4*f = -k + 2*k - 16. Suppose f = -x + 5*x. Put -12, -3, x in increasing order.\nAnswer: -12, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 7. Let o(h) = -h**2. Calculate o(r(t)).\nAnswer: -4*t**4 + 28*t**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21.6*-0.7\nAnswer: 15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228311, 456619, 684931, 913247, 1141567?\nAnswer: 1369891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/17)\/(4\/(-8)). Let h = 9 + -8. Which is the second biggest value? (a) -0.5 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24292 + 24292.004. Sort -8, l, 2.3 in ascending order.\nAnswer: -8, l, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2810 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1.8. Let u = -228 + 225. What is the biggest value in -1\/2, u, t, -0.03?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 262 + 74. Calculate the least common multiple of 74 and s.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-175)\/28)\/((-50)\/80))\/(8\/(-12))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.21 * -976.\nAnswer: 1180.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 - 15*d - 225 = 0. Calculate d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 11:25 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 - 1349108*g\/9 - 899408\/3 = 0 for g.\nAnswer: -2, 674556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, 4, -36 in increasing order.\nAnswer: -36, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -2) + 11 + (7 + 2 - 11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.8, 0.36, 2, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506672 a multiple of 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-5) + 3)*5. Suppose 3*k - 57 = -3*n, k - 26 = h*n + 1. What is the units digit of (14\/k)\/((-4)\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let i be (-1)\/(-1) + (n - -3). What is the remainder when 43 is divided by 61\/4 - 1\/i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14832, 29671, 44522, 59391, 74284, 89207, 104166, 119167?\nAnswer: 134216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*o + 251*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.09659mg in tonnes?\nAnswer: 0.00000004009659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 48 = 107. Let w = l - -452. Suppose 2*h - 341 - w = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:23 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/36 and -83\/106?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42406 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5021 + -4874. What is the lowest common multiple of s and 63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100101010110 (base 2) to base 10.\nAnswer: 10582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3793109.\nAnswer: 127, 29867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -16 - (-8 + 2) - (4 + (-12 - 19))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 4*i**4 + 0*i**4 + (i + 3*i - 6*i)*(-2*i**3 - 3*i**3 + 4*i**3) - 2*i**4 + i**4 + 2*i**4)*(2 + 1 - 2).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {h: 2, k: 1, i: 1, o: 8, r: 1, c: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 7:58 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 14078.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -2 (c) -2\/7 (d) -20 (e) -3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 4*l + 5*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.2515165s?\nAnswer: 251516.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c + 6ce?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 138 = -3*q + 7*t, 5*q - 216 = -2*t. Let n be 69\/q + -3 + 39\/(-52). Suppose -s = -6*s - 5. Are n and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*r**2 - 11*r**2 + 8*r**5 + (r**2 - r**2 + 2*r**2)*(-6*r**3 + r**3 + 3*r**3) + r**5 - 2*r**2 + 2*r**2.\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3839 to 3 decimal places.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3098993*w**3 + 2*w**2 + 5526465*w.\nAnswer: 18593958*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1670, 3326, 4982?\nAnswer: 6638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-25) + (-194)\/(-10). Suppose -13 - y = -3*g. Let f be (-6)\/4*88\/(-6). What is the highest common divisor of f and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03804 (b) 0.7 (c) -0.1316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-80)\/60 - -1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtxq. What is prob of sequence rt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -131*a + 1. Let n(m) = 80680*m. Determine n(c(s)).\nAnswer: -10569080*s + 80680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.4. Let i = -4\/49 + 32\/49. What is the third biggest value in o, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518096, -518184, -518260, -518318, -518352?\nAnswer: -518356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**8\/112 + y**7\/70 - y**6\/8 - y**5\/4 + y**4\/2 + 2*y**3 - 656*y**2. Let n(h) = 0. Calculate h.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**2 + f + 1. Calculate g(-4).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1440)\/56*-1*308\/8 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:46 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + 35 + -30\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2686708 divided by 43334\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 5:42 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20648.18ml?\nAnswer: 20.64818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/19688 - -1806419\/295320. Let x = 58\/15 - d. Let u = 1\/330 - 1018\/165. Calculate the common denominator of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 9*q - 4. Let x be l(6). Let n be (-4 + 0)\/(x\/3). Is n equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 8:41 PM?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(6)\/((sqrt(150) - sqrt(6))\/sqrt(3)))**2*-6 + 1.\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.9083994 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (14 - (-4 - -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916819027?\nAnswer: 17, 19, 2838449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(5\/4)))\/(t*t**(-6)))\/(t**(7\/4)*t**2))**5 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 495, 736, 973?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v - 2*v - 21*v in the form d*v + b and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2089502.\nAnswer: 10447510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.52 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 533*z**3 + 4695*z**2 + 10993*z + 5764 = 0.\nAnswer: -1, 11, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - a = 17, j - 3 = -2*j + 3*a. Suppose -2*r + j = 0, 4*h + r - 100 = -r. Calculate the highest common factor of h and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 + (-1*16)\/(-4). Let h(f) = -2*f + 3. Let y(w) = w - 3. Let n(k) = 2*h(k) + 3*y(k). Let r be n(-3). Solve 2*d + 2 = 2*a, -2*a - d + r = -u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-5\/4)*c**(-19)*c assuming c is positive.\nAnswer: c**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182213 and 771.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -4, -20, -40, -64, -92?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 9. Let z be d(0). Suppose p + 40 = -z*p. Let n be (p\/(-2))\/((-6)\/4 - -2). Solve -4*t + t - g = 14, -4*g = -n*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**3*w + q**3 + 4351*q**2*w - 2*w**2 + 22676 wrt w.\nAnswer: 3*q**3 + 4351*q**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/16928 and 43\/648?\nAnswer: 1371168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**5\/10 + o**4\/24 + o**3\/2 - 2185*o**2 + o. Let q be ((-10)\/6)\/1*3. Let d(y) = 4*y**2 - y - 2. Determine q*m(s) - 7*d(s).\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5133.943ml in litres?\nAnswer: 5.133943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/5 - 15989*s**2 + 1589010808*s\/5 + 351838112556\/5 = 0.\nAnswer: -219, 40082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6308?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/186*(-72)\/(-30)*(-90 - (-19075)\/210).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*n - d, 0 = 4*n - n + 2*d + 19. Let l(f) = -f**3 + 0*f**2 + 3*f - 6*f - 4*f**2 + f**2 + 5. Is l(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5178.6 to the nearest ten.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -165*(-55)\/(-7425)*27?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.17, 71.3, 2\/19, -38, -1, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 3*c**2 - 8*c - 4. Let y be d(-5). Let s(a) = 3*a + 40. Let i be s(y). Put 4, i, 0, -1 in decreasing order.\nAnswer: 4, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 9*c**2 + 9*c + 16. Let i be z(-8). Suppose 5*a + i = 1407. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 147\/(-189) + (9\/6)\/((-12)\/(-8)). Put y, 0.3, -3, -0.335, -1\/3 in decreasing order.\nAnswer: 0.3, y, -1\/3, -0.335, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 4. Let l = -118 + 114. Let z be (30\/(-24))\/(1\/l). Let a(c) = 14*c - 7. Let i(h) = z*u(h) - 3*a(h). Give i(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 bigger than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -7b912?\nAnswer: 7b915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 26 + 2*d - 18 + 0*d to the form h*d + x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67716.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -854464*0.2.\nAnswer: -170892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = 2*g, 6*x + 10 = x. Let b be 40\/10 - (g + 3). Suppose b*m = 2*k - 4 - 0, m + 2*k - 10 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 431? (a) -4 (b) 3\/4 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from {d: 6, r: 10, s: 1}.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*12459745.\nAnswer: -348872860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*h - 549 = 652 + 94 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121956802 to the power of 1\/2, to the nearest integer?\nAnswer: 33496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -776, -777, -780, -785, -792?\n\"Answer: -r**2 + 2*r - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypwynyyxwnxn. Give prob of sequence wp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 106*d + 697. Give m(-7).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m - 6*m + 7*m - 16. Let l(g) = 3*g + 5. Determine 5*i(h) + 16*l(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**3 - 1 - 3*v + 3*v.\nAnswer: 51*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -29) + (1957 - 1977).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37954567*n**2*u + n**2 + 774223*n - 1 wrt u?\nAnswer: 37954567*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 = 4*c + 4*h - 702, 0 = 4*c + 2*h + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 115 = -8*t + 4*t. Solve 4*r - 17 = -b - 9, 20 = -t*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -298, -695, -1256, -1981?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*a + 0 + (-6 - 8 + 15)*(-51*a - 111*a + 51*a) in the form c + s*a and give s.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.9987 - 89. What is g rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 353.3309 centimeters?\nAnswer: 3533309","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 2*t**2 - 16*t - 10. Let f be z(-5). Let w(q) = 2*q - q**2 + 2*q**2 + 2*q. Calculate w(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i - 133380 = -31*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32\/39 - -66\/91. Sort u, -1\/4, 5 in ascending order.\nAnswer: -1\/4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 1. Let i be 0 - (2 + (-4)\/1). Suppose -7*h = -i*h - 55. Let u = h + -6. Let v(o) = -3*o - 2. What is u*a(w) - 3*v(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3575*f**2 + 452*f - 8. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742670*h**2 + 1485339*h**2 - 742649*h**2 - 3 + 1.\nAnswer: 20*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let s(n) = 21*n - 91. Let a(h) = -5*q(h) - s(h). Give a(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24932327 is divided by 120446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 295 - 142 + 2*q**3 - 19*q - 150 + (-4*q**2 + 3*q**2 - q**2)*(-4*q + 4*q - 2*q) - 2*q**3 + 0*q**3 + 4*q**3.\nAnswer: 8*q**3 - 19*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:48 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y - 7*y - 40. Let w(p) = -p**3 + 7*p**2 + 10*p - 9. Let s be w(y). Let n(j) = 160*j + 31. Is n(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260878011?\nAnswer: 3, 997, 87221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let m(d) = 1. Let t(u) = u - 8. Let s(g) = -3*m(g) - t(g). Let v(x) = x - 5. Let r(i) = 5*s(i) + 6*v(i). Calculate r(h(c)).\nAnswer: -2*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 10*l**2 + 28*l - 13. What is the hundreds digit of c(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l - 3*l)*(-2 + 4 + 3)*(3*l**3 - l**3 - 4*l**3) + (-7*l**3 - 105*l**3 + 9*l**3)*(2 - 2 + 2*l)*(-2 - 1 + 2).\nAnswer: 226*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*-3*sqrt(242))**2*5 + 3.\nAnswer: 43564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 329335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 7. Suppose -w*g - 12 = -17*g. What is the remainder when 89 is divided by (2 - 22\/g)*-9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**(-21)*s)*s*s))**(-2)*(s*s\/(((s\/(s\/(s*s\/(s*s\/(s\/s**(-1\/4)*s)))))\/s)\/s))\/(s\/((s*s\/(s\/s**(-11)))\/s)) assuming s is positive.\nAnswer: s**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 11. Solve i = -3*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1984 = -78*y + 11*y - 57*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1482*f + 4*k = 1483*f + 20, -k + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-10388)\/(-462) - (-8)\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + r**2 + r + 1. Let g be ((-32)\/(1\/1))\/(-3 + 2). Let i = -33 + g. Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, x: 1, q: 8, t: 4}. What is prob of sequence xqb?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:09 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d + 10. Let x(k) = -12*k + 18. Let p(z) = 9*q(z) - 5*x(z). Let u(y) = 9*y**2. Determine u(p(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 833.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/5006733 and -115\/14.\nAnswer: 70094262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1106, 1116, 1132, 1154?\nAnswer: 1182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584903686?\nAnswer: 2, 292451843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 91*r**3 - 50*r**2 - 106*r - 8. Give k(-2).\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 4. Let f be u(-2). Are f and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 3498.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 29 = 3*q, -7*q + 20 = -4*l - 3*q for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323668 is divided by 260.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 plus -29.827867?\nAnswer: -128.827867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {b: 5, u: 8, r: 4}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.47 - -0.77. Which is the closest to h? (a) -2 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c47c2 (base 15) to base 9\nAnswer: 5411232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*t**2*v**4 - t**2 - 13*v**4 + 67 wrt v?\nAnswer: -24*t**2*v**3 - 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5923147*f + 11611678.\nAnswer: -5923147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -416048.5?\nAnswer: 124814.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78955260667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 516 + -517. Is i less than or equal to 2\/6417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -27)\/((-2)\/(-52)*13) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(6\/8)*(-84)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803991 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: Calculate the highest common divisor of 8 and 92471272.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:24 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/3 (c) -11 (d) 1\/1924\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -51*i - 12. Let t(a) = 1482*a + 351. Calculate -117*j(q) - 4*t(q).\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.81 in -0.2, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + -25 - -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42111 is divided by 113.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -1\/6 (c) -0.457 (d) -18 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 6*x + 9. Is 17 a factor of v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - 2*n + 4. Let f = -11 + 8. Let w be z(f). Let c be (0 - -2) + w\/11. What is the greatest common divisor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + r - 2. Let i = 344 + -342. Let l(w) = -2 + i + 391*w - 390*w. Calculate -2*l(m) + y(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - ((6 - -1) + (-71)\/((-1278)\/108)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19089 and 3150?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -30*r. Let u(c) = -1104*c - 1153. What is u(m(s))?\nAnswer: 33120*s - 1153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368 divided by -16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -0.2, 0.4, -2, -33061 in ascending order.\nAnswer: -33061, -28, -2, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-15))\/((-1)\/3). Let h be ((-4)\/10)\/(m\/30). Let k = -64 + 130. What is the highest common factor of h and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227.9891 + 0.0109. Let u = -2240.34077 + 2012.3421. Let h = b + u. Round h to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.2, -74, 0, 0.419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g = -85*g + 6700. Does 68 divide (1*-2)\/((-5)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 3 = -5*u - 2 - 4, -37*r + 5*u + 439 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536636 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11\/2, -4 in decreasing order.\nAnswer: 11\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5137650 divided by 70.\nAnswer: -73395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 5*s + 1. Let g be l(4). Is (18 + 6\/g)*1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/2 - 45*b**3\/2 + 1929*b**2\/2 + 29421*b\/2 - 33075 = 0. What is b?\nAnswer: -21, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 57. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, -126, -1162, -3172, -6480?\nAnswer: -11410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 537 - -22425?\nAnswer: 23063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6203746.5000033 - 6203746. Let d = q + -0.5. Round d to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/58 and -37\/1188.\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + (0 - 15))*(-30)\/(-9). Let t = n + 109. Put 4\/7, t, -1\/9 in decreasing order.\nAnswer: t, 4\/7, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/7944*(-24567)\/(-9). Let z = -24\/331 - a. Find the common denominator of z and -62\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -49, 0, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 385 = -65*n, -2*i + 0*n - 2 + 4 = -3*n - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 363 = 97 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/3 - -12. What is the biggest value in 1\/2, 3, h, 2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Let p be (d\/2 + -2)\/(-3). Suppose 4*c + p*c - 56 = 0. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3990554001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5*h + 7454 - 7434, h - 174 = 120*c + 59*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 121*f**2 - 1244*f - 17275. Calculate m(108).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 21 = q, -3*q = -r - 5 - 18. Does 28 divide (-586)\/(-6) - (-3)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from tjqijqlqqjqqqjqljqjq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*(w**(-2\/39)\/w)\/w*w*w*(w*w**1)\/w*w**(-10) assuming w is positive.\nAnswer: w**(-782\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002122293 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2 - h + 7. Let q = -5 + 0. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + g = 17, 394*b - 395*b = -5*g - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 + 598*c**4 - 530*c**2 - 3388*c - 147?\nAnswer: 40*c**3 + 7176*c**2 - 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)\/(l*l**(-3\/7)))\/(l**1*l**(-2\/13)) assuming l is positive.\nAnswer: l**(-372\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.753 + 0.71. Let x = -0.063 - f. Let h = -79\/56 - -9\/8. Sort 0, h, x in ascending order.\nAnswer: h, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/2 (b) 0.3 (c) 0.04 (d) 42\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196449910.\nAnswer: 2, 5, 281, 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92287 - -0.3.\nAnswer: -92286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16413996*d**4 + 451*d**2 - 2*d - 238 wrt d?\nAnswer: 393935904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21076 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 279 = 7. Suppose 0 = 3*d - 0*d - s - 64, 0 = 4*d + 3*s - h. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0025 + 0.4005. Round h to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 407*r**2 - 3*r + 1. List the prime factors of m(-2).\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6240124 divided by -6?\nAnswer: 3120062\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let r(n) = 0*n + n - n - 4*n**o. Let a(z) = -2*z. Let d(m) = -3*m. Let h(j) = 5*a(j) - 3*d(j). Determine h(r(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 25 = 4*t, 31*t - 35*t + 5*h = 65 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q + 133*q - 281*q + 480 = 0 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/597 and -2\/252259.\nAnswer: 150598623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.16 from 7.148.\nAnswer: 7.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/(-108))\/(6\/16)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 636*j + 46 + 193*j + 3138*j - 46 + (j - 3*j + 4*j)*(-2 + 4 - 4) to the form v*j + b and give v.\nAnswer: 3963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 82.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 73*n - 14 = 53*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t - 2*t + 5*t + 2*t - t + 0*t + (1 - 2*t - 1)*(-1 + 2 + 1) + (-2*t + t + 0*t)*(6 + 1 + 2) + 10*t - 27*t - 43*t.\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82090 divided by -2.\nAnswer: -41045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 47.95275 kilograms?\nAnswer: 0.04795275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/110 and -54\/237625.\nAnswer: 5227750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1281.0287*-0.23\nAnswer: 294.636601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626362107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-40))**(-1\/7)*(p**(-4)*p*p\/(p*(p**(-4\/3)*p)\/p)*p)\/((p**1*p)\/(p**(-1)*p)) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.062 and -42151?\nAnswer: 44764.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2299)*2 + -2 + (sqrt(2299) - (sqrt(2299)*3 - sqrt(2299))*3))**2*5.\nAnswer: 660*sqrt(19) + 103475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/20 and -73\/6316?\nAnswer: 31580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25721.\nAnswer: 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*18\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -1 - (644 - 588) - (2 - (-2 + 5))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2997 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((638\/116)\/(1\/2))\/(1*-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/37 - 17\/148. Let p = 0.2 - 0. Let y = p - 0.1. Put -0.4, y, l in descending order.\nAnswer: y, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/18500 and 137\/159000?\nAnswer: 5883000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.33 and 1.53.\nAnswer: -0.5049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - b - 190 = -15*k, k - 38 = -3*b. What is the highest common divisor of k and 46778?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340033.94482 take away 42?\nAnswer: -340075.94482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -7a80?\nAnswer: -7a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20423530 to the nearest integer?\nAnswer: 4519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21ad + 2?\nAnswer: -21ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/7)\/d*d)\/(d\/d**2)*d**0*d*d**(-3\/5)*d*(d*d**(-2\/11)\/d*d**4\/d)\/((d\/(d\/(d*d**(2\/11)*d*d)))\/(d*d\/d**(1\/8))) assuming d is positive.\nAnswer: d**(12487\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/37 (c) -1 (d) -86\/5 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212.67 + 233.2. Let z = i - 0.03. What is z rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 20. Give a(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28080 >= 28082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.724 - 0.096. Let l = 0.82000058 + o. What is l rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412\/20 - (27 + 22 - 30)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -37*n**4\/8 - n**3\/2 + 19*n**2. Is t(-1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 321164 + -2?\nAnswer: 321162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 12*k + 40. Let t(c) = 2*c - 12. Calculate the lowest common multiple of 9 and t(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.9939 + -0.0061. Put 2, -0.1, y in decreasing order.\nAnswer: 2, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 0. Let v(m) = m**2 - 7*m - 6. Let b be v(r). What is the remainder when 46\/(-4)*(b - 4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 96*o. Let s(p) = 799*p - 3. Let q be s(2). Let h(y) = y + q + 0*y - 1595. Calculate h(t(k)).\nAnswer: 96*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 277708*t**3 + 547*t**4 - 277708*t**3 + t**4 + 0*t**4 - 2*t**4 + (-t**2 + 0*t**2 + 3*t**2)*(-4*t + 4*t - t**2) - 1 + 1 - 2*t**4.\nAnswer: 542*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/42)\/((-5)\/(-3)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -416, -831, -1248, -1667, -2088?\n\"Answer: -g**2 - 412*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-7 - -12) + -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/7 - 107 - -3) + (188 - 170)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 - (2 + 93\/(-9)). Solve -5*h + s = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.546 (b) -3 (c) -34 (d) -5 (e) -0.2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -1. Suppose 263*h = 271*h. Solve -l - f - 2 = h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (25 - -17 - 43)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let u(o) = -4 + 3 + o**2 + o - o**3 + n. Calculate u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3 + 0*r**2 + 3\/4*r**4 - r**3 + 0*r. Factor u(q).\nAnswer: 3*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 13 = -5*g, g + 128262 = 4*b + 128293 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7978551, -7978550, -7978549?\n\"Answer: b - 7978552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, l: 2, s: 4}. Give prob of sequence sl.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = 4. Let d = 6.271 - 0.071. Let s = -6 + d. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 1\/2 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 272.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 69. Let r = -3 - -7. What is the nearest to 1 in r, m, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19116*j**3\/5 + 55062*j**2\/5 + 39416*j\/5 - 338\/5 = 0. Calculate j.\nAnswer: -13\/9, 1\/118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 - f**4\/12 + f**3\/3 + f**2. Let a be t(2). Suppose -5*x - 16 = -x, -2*y = a*x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 12*w**6\/5 + w**3\/6 + 5*w**2 + 46*w. What is the second derivative of d(m) wrt m?\nAnswer: 864*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -2\/59 (c) 3 (d) 0 (e) -260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 8*l - 5. Let k be t(-5). Suppose 23 = 3*z - 4*i, -5*i = z - k*i - 26. Suppose 3*g = h - z, -h - 3*g = -0*g - 1. Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177461, 177441, 177389, 177287, 177117, 176861?\nAnswer: 176501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*s**2 + 1944*s + 1 - 1944*s + (20 - 50 - 73)*(-s**2 + 3*s**2 - s**2) as o*s + r + j*s**2 and give j.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/8, 21965, -3, 0.2, 0.15 in descending order.\nAnswer: 21965, 8, 0.2, 0.15, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144522*f**2*g - 33864*f**2 wrt g?\nAnswer: -144522*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154805, 309601, 464389, 619169, 773941, 928705, 1083461?\n\"Answer: -4*v**2 + 154808*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2, 2*j + 2*f + 14 = 6*j. Let t(d) = -3*d - 3*d**3 + 2*d**3 + 5*d**2 - 1 + d. What is t(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyyyyyyyey. Give prob of sequence eey.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 6*a**3 - 11*a + 6. Let m(q) = -q + 26. Determine f(m(k)).\nAnswer: -36*k + 936","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 37875?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + sqrt(78)\/sqrt(150)))**2 - -3*sqrt(117).\nAnswer: 13\/25 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 7*m + 12. Let z be p(5). Solve -z*b = 8 + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 1289, 2884, 5117, 7988?\nAnswer: 11497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1754.8 minus 3?\nAnswer: -1757.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {q: 1, u: 1, n: 1, h: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80668253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + c + 6 = -26*d, -5*d - c = -6. Solve -d*t + 3*m = -0*t + 2, -8 = -5*t + m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3638baa + 3?\nAnswer: -3638ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j = -38*j + 41*j - 1281 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1488316200 to the nearest 1000000.\nAnswer: 1488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5)*c\/c**(-7)*c)\/(c**(4\/3)\/c*c*c**1))**(-28) assuming c is positive.\nAnswer: c**(-2968\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**4\/7 - 52772200*s**3\/7 - 174056568302500*s**2\/7 = 0.\nAnswer: -6596525, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 163*y**2 + 75*y + 484. Let o be i(81). Do -85\/53 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55608776\/9 smaller than -6178752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 183756*q**3 + 82*q - 18633 wrt q.\nAnswer: -24*q**2 - 1102536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185 - -188. Which is the smallest value? (a) -4 (b) -1 (c) p (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**6\/2 + 2*u**5\/5 - u**3\/3 - 5*u**2\/2 + 36. Find the third derivative of k(t) wrt t.\nAnswer: 900*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2*o. Let x(i) = 5*i**2 + 1 - 4*i**2 - i + 0*i + 0*i. Suppose 0 = -6*j + 3*j - 3. Calculate j*p(v) + 2*x(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from {n: 2, r: 1, w: 3, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*m = -201*m + 8239. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5814245 to the nearest integer?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**2 - 72*x + 1. Let z be h(9). Is 3\/95 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*y + 51*y + 14*y - 961 + 11*y.\nAnswer: -2*y - 961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27185 at least 27703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k - 1 - 8*k + 0*k. Let h be t(-4). Let a(d) = -9*d**2 + 6*d + 8. Let b(w) = -19*w**2 + 13*w + 17. Let y(g) = h*a(g) + 6*b(g). What is y(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*l = -55, 6*l - 56 = -4*q + 8*l. Solve -w = -4*a - 12, 6*a + q = a - 4*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flmf when four letters picked without replacement from ylymmflmlllyyflllll.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020 + 2?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -34 + 0*l**2 - 2\/3*l**4 + 0*l**3 + 2*l. Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + -6*-1*sqrt(121))\/(sqrt(275) - (sqrt(275) + sqrt(275)*2)).\nAnswer: -7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 4, d: 1, w: 2, c: 1, a: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 6) to base 2.\nAnswer: -1011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 15*13\/195.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, c: 1, d: 1}. Give prob of sequence cd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 0 - (-3 - (4 + -3)). Let l(n) = -10*n**3 - n**2 + 2*n - 3. Let v be l(2). Let y = -93 - v. Put y, p, -2 in descending order.\nAnswer: p, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 4. Let n be z(-2). Solve -4*x = 2*i, i - 12 = -n*x + 4*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 25*q - 18*q - 13*q. Let n(w) = -w. Let g(t) = -2*l(t) + 14*n(t). Let k(d) = 10*d. Determine g(k(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naoj when four letters picked without replacement from {o: 1, h: 1, n: 1, a: 1, w: 2, j: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -361, -728, -1095, -1462, -1829, -2196?\nAnswer: -2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 211 = -175 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 11. Let h be x(-5). What is the units digit of 0\/(h\/(-3)) - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 70 = 4*h - 3*v, 0 = -3*h - 2*v + 56. Solve h*g - 1 + 1 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 5. Let r(t) = t**2 + 3*t + 7. Let v be r(-2). Let n(h) = 6*h + 9. Determine v*a(o) + 3*n(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00148223095 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5074 less than -187693\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 460*(-52)\/520 + 25\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -367080 (base 15) in base 10?\nAnswer: -2605620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 319320342 to the nearest integer?\nAnswer: 17870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 - v + 9. Let h be y(-6). Let t = -52 + h. Is t less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Suppose 4 = r - b - 4*b, -r - 5*b = -4. Is 8 a factor of t(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 24 = 13*s, -10 - 68 = -4*s - 2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6751395, -27005618, -60762655, -108022506, -168785171?\nAnswer: -243050650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 378825269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2593, 5196, 7817, 10462, 13137, 15848, 18601?\n\"Answer: r**3 + 3*r**2 + 2587*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345.0435615372 + 0.0433585372. Let t = -345.21 - -0.21. Let o = t - a. What is o rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(1*sqrt(114) + sqrt(114) + sqrt(114))*5)\/((sqrt(18)*2)\/sqrt(3) - (sqrt(24)*-5 + sqrt(6))).\nAnswer: -60*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*w**3\/5 - 174093*w**2\/5 - 2401692*w\/5 - 69468\/5 = 0. What is w?\nAnswer: -827, -14, -2\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 763 + 238 = 0. What is the second derivative of -h*p**5 - 107*p**5 - 57*p + 221*p**5 wrt p?\nAnswer: 460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 38 = 42. Let m = v - -53. What is the highest common divisor of 37 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -89. Let g = r - -97. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-98))\/((-1674)\/(-3906)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 58*i**2 + 102*i - 403. Does 195 divide g(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.7 + 19.78?\nAnswer: 289.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -2, 1.2, -1\/2, 261, 1?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.45133mm?\nAnswer: 0.00245133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89589, -179103, -268617?\n\"Answer: -89514*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 59. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:06 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1106026 + 22\nAnswer: 1106048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/80*4*20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -8286 + 7992 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/19)\/t*t**3)\/(t**22\/(t*t**(-11))))**(12\/7) assuming t is positive.\nAnswer: t**(-6792\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -9*k**2\/4 - 2361*k + 1575 = 0.\nAnswer: -1050, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1106.2.\nAnswer: -3318.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2060255 (base 7) to base 5\nAnswer: 30443332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - 1 - (3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3032957576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + -154. What is the units digit of (-2360)\/(-100) - 2\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131813, -263635, -395457, -527279, -659101?\nAnswer: -790923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1098*p = 1100*p - 10, -25 = f - 5*p. Solve -r + 2*l - 7*l - 23 = f, 5*r = 2*l - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 37.417?\nAnswer: 6.36089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 + -49?\nAnswer: -48.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v\/(v*(v\/(v**(-2\/9)\/v*v))\/v) assuming v is positive.\nAnswer: v**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -9. Let j = -8.3 - x. What is the biggest value in -1, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7969?\nAnswer: 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + 0)\/((-20)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y - 68*y = 5*p - 68234, 2*p - 4*y = 27284. What are the prime factors of p?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96 - (146 - 148)) + 3 + -13\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2486884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5242 divide 130735480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1966 or -1934?\nAnswer: -1966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 654.003115 - 654. Round y to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 7 - 36 - 40 = -w, 3*w - q + 18 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.1. Which is bigger: 0.05 or x?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 27*l**2 - 113*l + 642. Calculate d(6).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1323.43?\nAnswer: 1323.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35054000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 57 - 61 = -3*c, -c - 66 = 34*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(250)*4))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4143 or -1?\nAnswer: 2\/4143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002392479533 less than 0.2?\nAnswer: 0.202392479533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 4*p + 2*p + 5*p. Let h(l) = -2*l**2. What is c(h(x))?\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 96515.4242 to the nearest one hundred.\nAnswer: 96500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3524*j**3 + 10628*j**2 - 7216*j + 112 = 0. What is j?\nAnswer: 14\/881, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3167215 - -3167214.2300148. Let w = v - -0.77. Round w to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 - 33160*p**2 - 54979280*p = 0. What is p?\nAnswer: -3316, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2.6 (b) -0.3 (c) -0.028 (d) -0.06 (e) 0.1 (f) 1 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 367232931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 7*b = 8. Suppose 4*k + 3 = -1. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d + 253 = 58*d. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(19*f**2 - 23*f**2 - 64*f**2).\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 3*s**2 - 2*s**2 + (-32*s + 12*s - 39*s)*(s + 0 + 0) to the form a*s + p + r*s**2 and give r.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppi when four letters picked without replacement from owwwiiwwwoppiwwwiww?\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**2 - 5*p - 8. Let g(w) = 5*w**2 - 2*w - 4. Let z(q) = 9*g(q) - 4*v(q). Let h be z(2). Which is the closest to -2\/3? (a) -5 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 12. Let j(a) = 4*a**3 - 4*a**2 + 4*a. Let s be j(3). Is s - 1\/(d\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/1440 and 83\/60840.\nAnswer: 243360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 14. Calculate the remainder when 77 is divided by (-79)\/(-4) - (-2)\/g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183299*b**3*s**2 + 471*b**3*s - 231*b**2*s**2 - 2*b**2*s + 123*b*s**2 + 23 wrt b?\nAnswer: 1099794*s**2 + 2826*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**7\/7 + 58*n**3\/3 - 2*n. What is the second derivative of q(j) wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*w + 0*w + 139 = 0, -3*w + 45 + 106 = -8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 3*m - 1. Let i be t(-3). Let o(x) = 0*x + 0*x**2 - 8*x + 0*x**2 + x**2 + 10. What are the prime factors of o(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 4. Let v be i(5). Let a(p) = p**2 - 4*p - 3. Let f be a(5). Solve f*s - 8 = v*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 + 11 - 8) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -29*p**3 - p**2 - 26*p - 192. What is the tens digit of d(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-7\/2)*a*a*a\/a**(3\/4)*a)\/(a\/(a*a**(2\/7)*a))**(1\/5) assuming a is positive.\nAnswer: a**(421\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -622529.0867 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -17 (c) -1 (d) -3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 874905 and 8395.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/17, 0.4, 53, 1 in descending order.\nAnswer: 53, 1, 0.4, -2\/17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1941 (base 12) to base 11.\nAnswer: -2344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14306 - -14308. Solve 0 = 3*s + p*y - 6, 2*s - 118*y - 4 = -123*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -36 - (-48 - -39 - (7 - 16 - -4))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00182 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.9 + -16.9. Let p = 30 + -32. What is the nearest to p in 5, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 6 (b) 2\/3 (c) 12\/11 (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729 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: Let k = 720 + -501. What is the remainder when 667 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (37 - (22 - 23)) + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001101101 - 110?\nAnswer: -1100001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -373248 or -373246?\nAnswer: -373248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-12)\/(-18)*4*10\/(-80)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 5*q = -11*y - 7, -q = 5*y - 16. Solve y*g - 30 = 9*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4454*m - 231100 - 290018 for m.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (432\/42)\/(-2)*((-658)\/(-42) - 11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*((2 + sqrt(832) + sqrt(832) + 0 - sqrt(832)*1*-4) + (sqrt(832) + -2*sqrt(832)*-1)*-4)*3)**2.\nAnswer: -62208*sqrt(13) + 9705740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c - 3*c**2 + 6 - 3*c**2 + 4*c**2 + 3*c**2. Let u be s(3). Suppose -270 = -4*g + 5*l + 311, -307 = -2*g - u*l. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -168*w**2 - 7*w + 170\/3*w**3 - 1\/3*w**4 - 8. Factor f(r).\nAnswer: -4*(r - 84)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 33*n - 59. Let l(j) = 2*j**3 + 10*j**2 - 44*j + 1. Let o be l(-8). Determine t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34.85162l?\nAnswer: 34851.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) -0.2 (c) 48\/19 (d) -2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**27\/((p\/(p*p**(-23)*p))\/p)*(p*(p\/((p\/p**(-4))\/p))\/p)**(13\/3) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 195 = -191, q - 14 = -5*o. Calculate the least common multiple of 1358 and o.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -0.46. Let n be (-105)\/(-162) - (-99)\/5346. Which is the third smallest value? (a) n (b) s (c) -4.7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4730 divided by -5.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/8 + 6\/(-48).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 3*o - 894. Calculate w(-30).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*t, 49*y + 23 = 47*y - 5*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.99 - -25321518198.\nAnswer: 25321518192.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 121022010001 (base 3) to base 13\nAnswer: b3062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1264*b**3*n + b**2*n + 102*b**2 - 2 wrt b.\nAnswer: 7584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -18. What is the lowest common multiple of x and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5 - -1) + 861\/(-175).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4586 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 43. Let f = 296 - 291. Let j(g) = 2*g - 65. What is f*j(s) + 8*t(s)?\nAnswer: 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.97367 rounded to two dps?\nAnswer: -4.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:34 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 6500, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (44 - (169 - 70)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 174645327847 and -3.\nAnswer: 174645327844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(9\/5))**(25\/4)\/(g**15*g**(-3)*g) assuming g is positive.\nAnswer: g**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-528 - -543) + (-2559 - 1). Round j to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1277*q - 1325*q - 576 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - h)*(4*h - 5*h + 0*h)*(-683*h + 341588 - 341588 - 432*h).\nAnswer: -1115*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/12)*u**(22\/7)*((u\/(u*u**(2\/5)))\/u)**(-1\/36))**48 assuming u is positive.\nAnswer: u**(15616\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 116*d + 81. What are the prime factors of o(7)?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/11 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495493378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.05?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35645732 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -19. Let p = d + 17. Let f = -71.0000114 - p. What is f rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 5*r, -4*j + 2*r - 5 = -3*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 119206 divided by 432\nAnswer: 59603\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/((-14960)\/1650)*(-9)\/(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 - b - 1. Let k be o(-2). Let l be (4\/k - 1)\/((-3)\/(-6)). What is the nearest to l in 4\/3, 4\/23, -1?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-3*l + l**2 + 3*l) + (-3*l**2 + 4*l**2 + 0*l**2)*(-4 - 6 + 20) to the form z*l**2 + y*l + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**2 - 223*x + 61. Let s(b) = 9*b**2 + 224*b - 72. Give 7*i(q) + 6*s(q).\nAnswer: -2*q**2 - 217*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 22*r**2 - 24*r - 36. Give l(-23).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - q - 7 = 5*w, 0 = -q - 3*w - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/5 - 4782*s\/5 + 170136.\nAnswer: 3*(s - 1390)*(s - 204)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51892175 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/4)\/(5\/(-40)). Let i = p + 14. Suppose i = 2*u + 189 + 239. What is u rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 796137 and 783.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 4*l**2 + 3*l + 12. Let t be a(-6). Let h = -464\/7 + t. What is the nearest to h in 0.2, -0.5, -4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4899, 9762, 14553, 19236, 23775, 28134, 32277, 36168?\n\"Answer: -6*f**3 + 4905*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rer when three letters picked without replacement from {e: 4, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.60138l?\nAnswer: 63601.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0, 2, -4.8035?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 845, 1701, 2567, 3443, 4329, 5225?\n\"Answer: 5*b**2 + 841*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 + 2*52\/40. Factor 36 - 15*k**2 + z*k**2 + 10*k**2 + 24*k - 3*k**3.\nAnswer: -3*(k - 3)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11168 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + -0.6. Let u = 8779.5 + -8779. Put 3, -7, u, d in decreasing order.\nAnswer: 3, u, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977 is divided by 551.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u**2. Let i(y) be the second derivative of 0*y**2 + 0 - y - 1\/3*y**3. Determine f(i(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37736721 (base 9) to base 8\nAnswer: -106462344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5643247 is divided by 45880.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 2*z**2 + 4*z + 13. Let h be (3\/6)\/((-1)\/(-8)). Determine s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w - 139 - 154 = -77. Which is the smallest value? (a) -116 (b) -3\/4 (c) w (d) -3\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose -m*n = -12, 0 = c - 4*c - 2*n + 2400008. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-2)\/2) + -46. Let s be x\/14*42\/4. Let y be (2*(-3)\/(-6))\/((-9)\/s). Solve -13 = -y*z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 29 = -4*q, l - 2*l - 37 = -5*q. Let g be 99\/21 + q\/28. Suppose -10 = 5*m - g*u, -2*u = 2*m + 2 - 6. Solve m = 4*p + 17 - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 904*b**2 - 4. Let p(z) = 3*z**2. What is p(x(d))?\nAnswer: 2451648*d**4 - 21696*d**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182553191\/448 + 407485. Calculate the common denominator of v and -107\/1456.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-2) + (-959)\/105 - ((-128)\/(-20))\/(-8).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119798 and 14448?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (194\/(-8))\/(2\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025054816 to 4 decimal places.\nAnswer: -0.0251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.059128 to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + 3*s**2 - 3*s + 3. Let i(d) = -3*d**3 - 2*d**2 + 2*d - 2. Let a(n) = n**3 + 2*n - 2. Let m be a(0). Give m*v(l) - 3*i(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -15. What are the prime factors of ((-2)\/4)\/(t\/(-3680))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 7785*p - 2967030.\nAnswer: -5*(p + 666)*(p + 891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = -11*t + 14784. Let s = 615 - t. Sort 1, 0, -2, s in descending order.\nAnswer: 1, 0, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128500 rounded to the nearest 1000?\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3038 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.48 + -2.48. Sort 0.1, p, 0.4 in ascending order.\nAnswer: p, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -1 + 16*2. Which is smaller: t or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*y*z**3 + 201*z**3 - z**2 wrt y.\nAnswer: -89*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tittb. What is prob of picking 1 b and 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r**3 + 2*r**2 + r - 3. Let g be b(-2). Suppose -4*l + 119 = g. Solve 2*o + 2 = -4*f, -2*f - 19 = -l*o - 0*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 2*a**2 - 9*a**2 - a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 660\/(-72) + -2 + 1 and (-254)\/28 + (7 - 6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249002131?\nAnswer: 7, 919, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -32?\nAnswer: 195\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -4.2. Let x = 0.2 - k. Let r = 574 - 576. Which is the smallest value? (a) x (b) r (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*f + 87 = 78*f - 3664 + 384 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let a be (-12)\/(-15) + (-1 - -1). Let l = 68 - 341\/5. What is the nearest to s in a, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 - 9*b - 17. What is the units digit of r(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:00 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24)\/((-1)\/12)*(-2)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -71*n - 131. Suppose 3*g = -17 - 16. Let b(t) = 35*t + 66. Let u(x) = g*b(x) - 6*w(x). What is the derivative of u(m) wrt m?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32959.94 centuries to decades.\nAnswer: 329599.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1381, -1073, -765, -457?\n\"Answer: 308*x - 1689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.85, -5312, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = 0, -2*y - 11 + 9 = 3*g. Let h(c) be the first derivative of -4\/5*c**5 + 0*c**4 + 0*c - 7 + 4\/3*c**3 + g*c**2. Suppose h(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 5\/7 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140054 + 0?\nAnswer: 140054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (376078\/(-129))\/((-20)\/6870) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1049446912 by -55234048.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 2*x - 4. Let h be f(-3). Let a = h - 0. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllluullluulwullllll.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**8\/1176 - i**7\/49 - 19*i**6\/105 - 375*i**2. Solve a(c) = 0 for c.\nAnswer: -4, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764 and 18?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8 - 2. Suppose -2*k - 4*a = -g*k + 9, k = 2*a + 7. Solve k*q = q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.061 + -0.011. Let f = -0.05 + r. Sort f, 3, 3\/2.\nAnswer: 3\/2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 685478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230746 or -1\/3?\nAnswer: -230746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 40*y = -12, -5*t = -9*y + 21. Sort -5, t, 1044 in descending order.\nAnswer: 1044, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -824499 - -379?\nAnswer: -824120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 3\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u = -46 + 68 + 44 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 - 503 = 4*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - y**2 + y**2 - 282 - 2*y**2.\nAnswer: y**2 - 282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -1333?\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -1) + 18 - (-1 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -123642 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -7*b - 85. Solve 0*g + b = 5*h - g, -g + 1 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677 + 2019 - 680 - 662 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -875826, 13, -1 in descending order.\nAnswer: 13, -1, -875826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, -b - 4*t + 0*t + 6 = 0. Let s(i) = -7*i + 3 - 2*i**3 + i**3 + 7*i**2 + 6. Let d be s(b). Calculate the highest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*g - 343*a**4*n + 2*a**3*g*n - 837*a**2*g + a**2 - a*g*n wrt a.\nAnswer: 48*a*g - 8232*a*n + 12*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 69*a + 4. Suppose 17*d + 149 = 540. Let r be y(d). Solve -v + 4*v = -6, 0 = -2*j - r*v - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from {p: 2, c: 3, r: 1, s: 10, i: 1, a: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + -14)\/((-2)\/4). Let j(c) be the third derivative of -17*c**m + 7\/12*c**4 + 0 - 2\/3*c**3 + 0*c - 1\/10*c**5. Factor j(g).\nAnswer: -2*(g - 2)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -68.188. Let y = h + -0.088. Which is the closest to 6? (a) 2 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -82, -172, -316, -526, -814, -1192?\nAnswer: -1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 = 0, -6 = -4*m - w + 6*w. Suppose 0 = -m*s + s + 1965. Let z = s + -246. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) 59 (c) 717 (d) 4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 + 26 = 0. Suppose -5 = -2*h - v. Suppose 6 = 3*p - 3*z, 5*p + 3 = 2*z + 19. Put 2, p, h in increasing order.\nAnswer: h, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63*(8\/(-6))\/(-1). Let i(y) = y**2 + 89*y + 1522. Let z be i(-21). Let a = z - g. Calculate the remainder when 13 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = -5*v + 5*b, 0*b - 58 = v - 5*b. Let s be v\/4*1*2. Let j = s + 66. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, 10, 6 in increasing order.\nAnswer: -0.3, 0, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 2*v + 1170 = -12*v. Let l(q) = q**3 + 28*q**2 - 59*q + 43. What is l(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40443 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 4*d + 5. Let q be o(-5). Let f be -3*3\/(-378)*1. Let z = f - -121\/210. Are z and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 200 = -z. What is z rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2 - -1))\/3. Let r = 450 - 46. Let n = -403 + r. Which is the smallest value? (a) 15 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 27*k - 4. Let g(l) = -2*l + 1. What is -a(f) - 2*g(f)?\nAnswer: -2*f**2 - 23*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/((-494)\/133)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1.1, -0.1, 2\/33 in increasing order.\nAnswer: -0.1, 2\/33, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*h**3 - 3*a**2*h**2 + 451*a**2*h - 34*a*h**3 - h**3 wrt h?\nAnswer: -6*a**2 - 204*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(3\/140). Suppose -4*l = 5*p - g, 2*l - 3*l + 14 = 3*p. Let n be 1*(1 + -1 + 2). Solve 2*s - o = n*o - 8, l = 2*s + 4*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:34 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -986 - -986.0000003704. Round q to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 243886?\nAnswer: 1\/121943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 855?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/6)\/(14\/(-21)). Let j be 1*-1 + (-4 - -12). Let l = -13 + j. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 11*p**2 + 2*p + 16. Let c be u(-11). Is (-5 - -122)*(-2)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:18 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-18) - 47\/3. Let i = 24 + z. Factor i*q - 8 - 2*q**2 - 3 + 3.\nAnswer: -2*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k + 64 = -25*k. Put -3, -4, 1, k in ascending order.\nAnswer: -4, -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784 is divided by 149.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2 and (-13 - 2)*(26\/(-28))\/13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 21*w**5 - 5*w**5 - 2*w**5 + 1108*w + 13 - 955*w. Differentiate r(y) with respect to y.\nAnswer: 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 6. Let w be j(5). Suppose 0 = 3*y - 14*y - 55. Is 8 a factor of w + 2 + y + 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.251\nAnswer: 0.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -286195 <= -286194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h - 320 + 320 + 880*h**2 + 2*h as z*h**2 + l + a*h and give z.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 1992720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273 + 396. Suppose 18*n - 429 = -l. Solve -2*b - n = -11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(24\/11))**(-3\/14)\/(k**(-42)*k\/(k**(1\/19)*k)))**(-1\/7) assuming k is positive.\nAnswer: k**(-60839\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dggg when four letters picked without replacement from {p: 3, t: 3, d: 1, q: 5, g: 6}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6972.562 litres in millilitres?\nAnswer: 6972562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -193764147.1 rounded to the nearest 1000000?\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Calculate the remainder when 27 is divided by v(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(304)*6 + sqrt(304) + sqrt(304))*3)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 160372 + 127326. List the prime factors of g.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 580 - 579.5755. What is k rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 100, 113, 136, 175, 236, 325?\n\"Answer: i**3 - 4*i**2 + 14*i + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 71. Let y(d) be the first derivative of 8*d**3\/3 - d**2 + d - 1. What is the remainder when 12 is divided by y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w + 947. What are the prime factors of z(0)?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226784949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 165 - 165.093. What is a rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -6. Let c be ((-15)\/q)\/5*60\/(-18). Suppose 3*p = 3*d + 6, -d - c*p + 31 = d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = g + 42 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*o - 8*o. Let i(k) = -k**2 + 2*k - 1. Let m be i(1). Let b = m + 3. Calculate the smallest common multiple of b and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 5*k**2 + 52*k - 334. Give c(7).\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = -2*o + 511. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*v**4 - 11*v**4 + 4*v**4 + (-2*v**3 - v + v)*(-3*v + 3*v - 2*v) in the form s*v**3 + p*v + q*v**2 + a + b*v**4 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061132 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1013042112 (base 5) to base 2\nAnswer: 111111100000010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 304*a**3 + 87 with respect to a.\nAnswer: 912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 91. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1467 - 1247. Is k > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 136976?\nAnswer: 3972304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 2:33 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + 2, 0 = 3*n + 5*j - 68. Suppose 180 = -3*g + 6*g. Calculate the remainder when g is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**4 - p**3 - p - 1. Let n(s) = 5*s**4 + 3*s**3 + 3*s + 8. Let d(z) = 3*l(z) + n(z). What is the derivative of d(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 4048440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103892 and 2204.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/6 - -5 - 38\/(-12). Let t(z) be the first derivative of 0*z + 3 + 0*z**2 - 1\/3*z**u. Let t(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and 189279.675099.\nAnswer: 189277.575099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7699 - 0.2301. Which is smaller: m or 141?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/27 or -2?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -13 - (-2 + -1 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*j - 151. What is the remainder when 420 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 306.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113487 and 591204?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2370.7452 hours to days.\nAnswer: 98.78105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((1312\/(-984))\/(16\/(-18))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329 - -329.411. Let t = -0.964 + m. What is t rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -1554?\nAnswer: 326.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let t = -34 + 24. Let l = t - -9.5. Which is the nearest to 0? (a) l (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 24 = 7*u. Factor 1\/2*w - 4*w**2 + 0 - 16*w**4 + u*w**5 + 12*w**3.\nAnswer: w*(2*w - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = 5*i - 3*o, -51 = -2*i - 5*o + 90. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*p**3 - b**2*p - 579958*b*p**3 - 123*p**3 + 72077261*p**2 wrt p.\nAnswer: 6*b**2 - 3479748*b - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1136 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(704) + 1 - sqrt(704))**2*-1 - (sqrt(44)\/((sqrt(24)\/sqrt(6) - sqrt(4)) + sqrt(4)) - (sqrt(11) + (-3*(sqrt(11) - sqrt(539)))**2)).\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93572987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53307661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + 39 = -101 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.277814 years?\nAnswer: 0.4277814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2641, 5163, 7641, 10081, 12489, 14871, 17233?\nAnswer: 19581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 11:28 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*a**2 - 2100*a + 25*a**3 + 2100*a wrt a.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -194\/3*g - 68*g**3 + 296\/3*g**2 + 16 + 56\/3*g**4 - 2\/3*g**5 = 0. What is g?\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 93 = 5*l. Suppose 0*w + t = -w + 12, w - l = -2*t. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17633, -18572, -19511?\n\"Answer: -939*y - 16694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**6\/60 + 53*c**5\/30 - 35*c**4\/12 - 2*c**3\/3 - 14*c - 92. Let w(u) be the third derivative of r(u). Factor w(k).\nAnswer: -2*(k - 35)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -27*c**2 - 7*c + 4. Let i(y) = -13*y**2 - 4*y + 2. Calculate -5*i(l) + 3*t(l).\nAnswer: -16*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2734 - 2729. What is i in 2\/13*i**2 + 0 - 2\/13*i**4 + 2\/13*i**u + 4\/13*i - 6\/13*i**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from {l: 7, i: 12}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962108692.\nAnswer: 2, 229, 1050337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -934 + 1179.5. Let s = -245 + k. Put s, -1\/51, -5 in ascending order.\nAnswer: -5, -1\/51, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or 91223?\nAnswer: 91223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.688 - -25.188. Which is the biggest value? (a) -1 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -0.68. Let g = o - 0.38. Which is the closest to -1\/2? (a) g (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 123?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-116)\/6 + 14\/(-21). Suppose 8*m - 560 - 48 = 0. Calculate the remainder when m is divided by -5*22\/o*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and 160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 not equal to -300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-1\/7))**22)**(-1\/62))**(-3\/2))**(-20) assuming q is positive.\nAnswer: q**(330\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -17)\/((-11)\/132) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-15))\/4 - (-96)\/(-40). Which is greater: q or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1936)*1 + (sqrt(1936) - 3*sqrt(1936)*-1))\/(-3*4*sqrt(128)*2).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 + 54*l**2\/7 + 390*l\/7 + 850\/7.\nAnswer: 2*(l + 5)**2*(l + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.09849 and 2.\nAnswer: 2.19698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h*h**(-2\/17)*h)**(2\/67)*(h**(4\/5)\/(h\/h**(-4)))**(-3\/14) assuming h is positive.\nAnswer: h**(8511\/11390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 2\/17, -0.4, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-3 - 2) - (-84)\/(-36). Which is the closest to 1\/3? (a) y (b) 0 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36 + -7 - (-1 + -6). Let s(g) = -g. Let t(u) = 16*u. Let p(n) = j*s(n) + 2*t(n). Let x(r) = 8*r - 1. What is 5*p(k) + 2*x(k)?\nAnswer: -4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3649520 divided by 56.\nAnswer: -65170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5571*u = 2103*u - 2976*u - 2023*u + 1168446 for u.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = 35. Let f(n) = -n - 4. Let u be f(-12). Solve -o*s = -3*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 1 in decreasing order.\nAnswer: 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4955614 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v**2. Let s(m) = -m + 6. Let h(d) = 1. Let x(y) = -5*h(y) + s(y). Let w(b) = -6*b + 4. Let u(l) = w(l) - 4*x(l). Determine u(p(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*j + 1 - 6*j + 4*j + 4*j + 1 - 1 + j + (2*j - 3*j - j)*(1 + 1 - 4) in the form m + h*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2118200 and 127939280?\nAnswer: 639696400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -335 + -29?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5483.8 - -5483. Which is the nearest to 5? (a) v (b) -0.06 (c) 1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56359 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 the smallest common multiple of 170 and 4060?\nAnswer: 69020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -135ab67 (base 12) to base 14\nAnswer: -724cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/7953*(122\/6 + 0 + 4) and -59\/3.\nAnswer: 7953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31, 81, 193, 391, 699, 1141, 1741?\n\"Answer: 4*r**3 + 7*r**2 + r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 - 2*i**3 - 4*i**3 + (-12 - 5*i**3 + 12)*(2 - 1 - 3) + 85*i**2 - 3*i**3 - 85*i**2 as o*i**3 + r*i + b + j*i**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130593963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence popu when four letters picked without replacement from upxxpuouu.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2492\/(-6))\/(82\/(-123))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 14*x - 1101 + 1101 - 3*x + x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 4*v + 160 = 0, 2*l + v = 65. Suppose -36 = -3*o + o. What is the remainder when l is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 - 9*o + 7. Let w be d(-8). Solve 3*p = 2*z + w, 6*z - 5*z + 4*p - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 3*i + 2. Let r be h(4). Let u(y) = -y + 1. Let o be u(r). What is the third derivative of o*w**2 - w**4 - 2*w**4 - 4*w**2 + w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 1 = 3*m - 3*b, 0 = -2*m - b + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29730 divided by 5946?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -131\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((((z**16*z*z)\/z)\/z*z)\/z)*z*z*z\/z**8 assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*m + 5. Sort -1, -3, -4, m in descending order.\nAnswer: m, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11370.\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Let f(p) = -7 - 36*p**3 + p**2 + 7*p - p**2 + 35*p**3 + 4*p**2 + 2. Give f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q\/(q\/q**5)))**(-49) assuming q is positive.\nAnswer: q**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itchit. What is prob of sequence tith?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 65*s = -66*s - 2, 2*s + 4 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 0*r - 19 = -6*r. Let i = -30\/11 + 259\/99. Which is the nearest to 2? (a) i (b) r (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 276596500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2114 = 3*z + 2102 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41524 (base 6) in base 10?\nAnswer: -5596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 146 + (-5 - ((-36)\/(-2))\/(-3)). Suppose z = 8*d - 1605. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -11*a. Solve a = -5*q + 29 - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -173*u**2 + 16*u - 22. Let d be w(9). Let c = d + 6653. Let a = c - -538. Round a to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3, 1, 8\/13, -12\/13, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0 - 24. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*f**2*o**2 + 15*f**2*o - f**2 + 871*f*o**2 + 44*o**2 wrt f?\nAnswer: 118*o**2 + 30*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3318\/(-1580))\/(((-588)\/(-35))\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*w = 5*w - 12, w = -4*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 1:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 22*d. Let k(i) = 703*i. What is 95*b(y) - 3*k(y)?\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0 (c) 202 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.75634 - 0.04934. Let p = -2.704803 + k. Round p to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)\/(o\/(o\/(o*o*o**(5\/7)*o*o)))*o**17\/(o**15*o))**33 assuming o is positive.\nAnswer: o**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*q**3*v + 180*q**3 + q**2*v**4 - 1 wrt v?\nAnswer: -53*q**3 + 4*q**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -363*s**2 + 3*s - 257. Let m(u) = 361*u**2 - 3*u + 252. Let z(o) = 7*m(o) + 6*y(o). Find the second derivative of z(f) wrt f.\nAnswer: 698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-6)\/(-81) - (-6512)\/18. Suppose 0 = 84*l - 79*l + r + 358, -5*l + r = c. Sort -3, -5, l in descending order.\nAnswer: -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.2 (b) 738 (c) 1\/303 (d) 1\/7 (e) -5 (f) 0.5 (g) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 52 - 58 = 5*h, 5*h + 30 = 5*k. Factor -5\/2*d**h + 0 - 4*d**3 + 25*d - 1\/2*d**4.\nAnswer: -d*(d - 2)*(d + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -40. Let o(p) = p**2 - 8*p + 2. Let k be o(b). Find the third derivative of 5*g - 14*g**2 - g**5 - 5*g + 4*g**k wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 254 - 78 = 0. Let x = 86 + v. Solve 0 = -f + 2, 3*l = -l - x*f + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750662?\nAnswer: 2, 3, 97259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*f - 17389 = 1479*f + 36368 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = 3*y - 28, -4*x = 3*y + 7. Solve -u = -y*p - 11, -4 = 23*p - 22*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 69 - 31. Suppose 5*g + 4*y - 70 = 0, -5*g + 85 = -4*y - i. Suppose 26 = 4*k - g. What is the highest common divisor of k and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*r = -3*r + 10, 3*o - r = 8. Suppose o*f = -f + 105. Solve -3*m + f = 4*u, -u - 12 + 2 = -3*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 38650*n**2 + 38661*n**2 - 77325*n**2. Let v(b) = 4*b. What is v(s(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*i = -33, 0 = -v + 4*i - 0*i + 31. Which is greater: v or 38?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 15*o**2 + 3*o + 1. Suppose -3*w + 15 = 3*c, 0*c + c - 2*w = 5. Suppose -30 = -4*p - 5*u - c, p - 6 = -u. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -13.1?\nAnswer: -0.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-140)*4 - (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(16) - sqrt(48)\/sqrt(3))\/sqrt(2) + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6158\/9 + 688. Factor -v*l**4 - 10\/9*l**5 - 22\/9*l**2 + 0 - 4\/9*l - 14\/3*l**3.\nAnswer: -2*l*(l + 1)**3*(5*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114.721 - -0.279. Let c = k + -114.99795. What is c rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 - 0 - (11 - 84\/12). Solve 3*c - x = 0, 1 = 3*o + c - 2*c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 9*o**2 - 8*o - 25. Let v be m(7). Suppose 23 + v = 10*c. Let i be -1*1*1*-5. Solve c*d + 16 = 4*n - 0, -16 = i*d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - -110. Let a = 288.0000406 - s. Round a to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27045 - 511?\nAnswer: 26334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16174561 + -4?\nAnswer: -16174565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3398 + 61*b - 3398)*(5 + 3 + 2) to the form p + f*b and give f.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*3\/9 - (-24)\/(-9). Let k(g) = -7*g**3 - g**2 - 5*g - 2. Let s be k(l). Solve -2 = s*w - 61*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by (60\/7)\/3*(-14)\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/32*21\/(-140)*4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-141)\/188 + (-33)\/(-28). Put h, 4, -1\/3, 7 in descending order.\nAnswer: 7, 4, h, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-5) - 90\/(-100))\/9. Let c(k) be the first derivative of k**2 - 2\/3*k**3 + g*k**4 - 10 - 2\/3*k. Factor c(j).\nAnswer: 2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 185 - 193)*(-2*h**2 + 3*h**2 + 3*h**2).\nAnswer: -1808*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*f = -69, -86*f - 12 = -83*f. Solve 12*v = 3 - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 + 9. Let a(k) = 5*k**2 - 10. Let p(d) = 5*a(d) + 6*m(d). What is the first derivative of p(g) wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w + 116. Let q(s) = 5*s + 117. What is 3*f(d) - 2*q(d)?\nAnswer: 2*d + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8*(p*((p\/p**(1\/8))\/p)\/p)\/p)\/(p**1*p)**(-18) assuming p is positive.\nAnswer: p**(223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -445, -919, -1393?\n\"Answer: -474*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17560005 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/160*(-2)\/((-24)\/1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(176)*-3 - sqrt(176) - sqrt(176))**2 + sqrt(22)\/(sqrt(162)*3))*-6.\nAnswer: -26376 - 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 94 = -98 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-5\/7)))**(4\/17) assuming o is positive.\nAnswer: o**(-20\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(((-80)\/120)\/((-24)\/27)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419533700 divided by -8660.\nAnswer: 48445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -90. Suppose -29 + 10 = b + u*o, -5*o - 22 = b. What are the prime factors of (b + 2 - -4)*-175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - 5*f - 10. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*s - 11, -8 = 4*s - 0*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 266.99 times 0.08\nAnswer: 21.3592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + (-1 - -1) - 0. Suppose 0 = -5*z - 2*g + 66, -38 = 5*z - g - 110. Let m be -2 + 2 - z\/(-2). Solve -5*w - m = -t, 4*t - j = -t - 3*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63169729009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -180 - (-3 + 20 + -51)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7))\/t**(-20)*(t**(8\/13))**41)**(-3\/25) assuming t is positive.\nAnswer: t**(-306\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 15 + 14 + 11*b**2 as k*b**2 + a + s*b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 183?\nAnswer: 10\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-106)\/(-6) + 8\/(-12). Let o = h - -29. What are the prime factors of o?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -119, -9, 0, -5 in decreasing order.\nAnswer: 0, -1, -5, -9, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2775*4.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4c1?\nAnswer: 4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.9697663 hours in weeks?\nAnswer: 0.1248200375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -392 (b) -3 (c) 3 (d) 3\/11 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1348 + 6118. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9561 times -284?\nAnswer: 2715324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*n + 1575 = 3*n, 4*m - 1248 = 2*n. List the prime factors of m.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -124.053. Let y = 70.053 + j. Which is bigger: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 9*z**2 + 3. Let j be q(-9). Suppose j*c - c = 4*s, -7 = c + 5*s. List the prime factors of ((-36)\/3)\/c - 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) + (-2*sqrt(132) - sqrt(132))) + (-1*sqrt(132)*-5 + sqrt(132) - sqrt(132)))\/((sqrt(84) - sqrt(84)*-2)\/sqrt(7)*-5)*-4.\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((9\/(-3))\/(-3)). What is the derivative of 3 + r - 2 + 3*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1734 - 1737. Let q(p) = p**2 + 4*p + 3. Let t(l) = 2*l**2 + 4*l + 4. What is x*q(k) + 2*t(k)?\nAnswer: k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence weww when four letters picked without replacement from eeweww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2. Let r(a) = a**2. Let h(d) = -2*c(d) + 11*r(d). Let z(t) = 13*t - 16. Let m(p) = -207*p + 252. Let v(y) = 4*m(y) + 63*z(y). What is h(v(o))?\nAnswer: -81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135044 and 504.\nAnswer: 2430792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41466181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -186*g - 1032 + 175*g + 335 to c*g + h and give h.\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s. Let p(c) = c**2 - 2*c + 4. Let w be p(s). Suppose 0 = w*r + 16. What is the closest to -1 in 5, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:04 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgg when four letters picked without replacement from sssgsssgsggssssssss?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + 7 + (171 - 161).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-4*3\/(-126). Let k = -1.38 + 0.28. Let z = 1 + k. What is the third smallest value in z, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5641 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721 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: Let p(w) = -2*w. Let u(n) = n. Let d(z) = p(z) + 4*u(z). Let o(c) = -c - 6. Let l be o(-8). Let h(v) = -2*v**2 + v**2 + 0*v**l. Give h(d(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 k, and 1 m when three letters picked without replacement from {f: 1, o: 1, w: 1, k: 1, m: 2, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-376 + 376 - 3*l**2)*(6*l + 5*l + 4 - 5*l) as o + f*l**3 + b*l**2 + z*l and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (0 - (9 + -4)) - -11) + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 19*t**2 - 44*t + 48. Let z be c(21). Is 39 a factor of z\/(279\/(-282) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/(-18) - 2*(-1)\/(-9). Does 22 divide (0 - (0 + w + 3)) + 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:52 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 472*t - 2*t**3 + 382*t + 6 + 0*t**2 in the form a + x*t + b*t**3 + w*t**2 and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:13 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*u + 3*u. What is the third derivative of -u*a**2 - 45*a**6 + 17*a**6 - a**2 - 5*a**2 wrt a?\nAnswer: -3360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556110641 to the power of 1\/2, to the nearest integer?\nAnswer: 23582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 66*j - 1. Suppose -g + 4 = 3. Is l(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13507 and 0.375.\nAnswer: -13506.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14962546 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 31 = r, -3*r + 15 = -3*u + 48. Let b = r - -10. Solve -y + 0*y + b = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.11, 1, 0.35, -13\/6, -0.02?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let j(g) = 3*g - 46 + 46 - 4*g. Calculate q(j(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2. Let t(p) be the second derivative of 0*p**2 - 2\/3*p**4 + 0 - 3*p + 0*p**3. Calculate t(x(m)).\nAnswer: -72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 1, x: 2, u: 2, y: 5, p: 7}. Give prob of picking 2 m and 1 k.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 12 - 3 = 0, -3*t = -4*a - 569. Let u = 3 - a. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:20 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3127 is divided by 778.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 5 - 6 = 0. Let k(b) = b - 4. Let t be k(4). What is the nearest to 0.2 in -0.2, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 828 by 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1384924?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - x = -3*x - 600, -4*a = -4*x - 2384. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.751 + -1.249. Let l(g) = -g**3 + 3*g**2 - 4*g + 1. Let q be l(3). Which is the second biggest value? (a) q (b) -1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279415 * -0.03958.\nAnswer: 11059.2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*j - 50941 + 50907 = 0, v + j = -9 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let y(d) = d**2 - u + 1 - 2*d**3 + 3 - 2*d. Let v be (-10)\/(-4) + 3\/(-6). Let r(l) = 4*l**3 - 2*l**2 + 4*l - 5. What is v*r(k) + 5*y(k)?\nAnswer: -2*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 384*k**2 + 547*k - 9153657 wrt k.\nAnswer: 768*k + 547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*v**2*x**3 + 509*v**2 - 2*v*x**3 - v + 179*x wrt v?\nAnswer: 18*x**3 + 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*(-153)\/(-3)*(-1)\/(2\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -11, 2, 7, -2?\n\"Answer: -o**3 + 5*o**2 + 7*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 532, 1373, 3020, 5743?\nAnswer: 9812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 419151713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 48*y**2 + 48*y - 61. Let a(q) = -q**3 - 72*q**2 + 72*q - 91. Let c(s) = 5*a(s) - 7*j(s). Let h be c(-18). Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 6 + 0 - 2*k**3 - 7 in the form y*k**2 + x*k + r*k**3 + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -353555, -353006, -352093, -350816?\n\"Answer: 182*k**2 + 3*k - 353740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4049 = -189*p - 458 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 - 5*h - 5. What are the prime factors of q(4)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -829.85 rounded to the nearest ten?\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -963344 + 217256. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*r, -107 = -4*d - 3*r - 0*r. Suppose 5*w - 120 = -2*q - d, -2*q = 4*w - 94. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -3, -2.\nAnswer: -121, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16767, -24523, -32277, -40029, -47779?\nAnswer: -55527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7324.85 centuries?\nAnswer: 732485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/10 + 1)*2*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -566*c - 1709 - 1701 + 3412 to i + j*c and give j.\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5626 = 5*p, 7010 = 5*d + 12*p - 7*p. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 - (-58 - (11 + -15) - (36 + -24))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13773557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert e7f (base 16) to base 3.\nAnswer: 12002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 58 = 6*s. Let a be -5 + ((-8)\/3)\/(s\/9). Is 3\/94 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3*u**4 - 320*f**3*u**2*w**3 + 563*f**3*w**3 wrt u.\nAnswer: 8*f**3*u**3 - 640*f**3*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-686007)\/1001 + 2\/22. Let v = b - -685. Sort 0, v, -1\/6 in decreasing order.\nAnswer: 0, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + 0. Let o = 6 - 3. Suppose d + 4*d - 55 = o*t, -2*d - 5*t + v = 0. What is the smallest common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.038 in -0.3, -0.2, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 + 0*v**2)*(35 + 3 - 4) + 0*v**2 + 0*v**2 + v**2 - 22 - 14*v**2 + 22.\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1142*j**3*t**2 + 6*j**3*t - j**3 + 2*j wrt t?\nAnswer: 2284*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x**3\/11 - 1004*x**2\/11 - 230*x\/11 + 17368\/11 = 0. Calculate x.\nAnswer: -167, -13\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -14.8. Put -3, 2, z in decreasing order.\nAnswer: 2, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(78\/24 + -4). Let o be (2 - 1) + -1 + 70 + -38. What is the greatest common divisor of a and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120100121 (base 3) in base 9?\nAnswer: 116317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/177 + 1244\/885. Let f = -846 + 848. Find k such that u*k - 49\/10 - 1\/10*k**f = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43035670?\nAnswer: 2, 5, 17, 149, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105064824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 3 + (-19 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k + 5 = -2*l, -3*k + 4*l = 15. Let u be 2 + 1 - (4 + k). Suppose -16 = 2*b - u*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 0 (c) 2 (d) 2\/17 (e) -306 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8)\/u*u)\/u*u\/(u\/((u\/(u\/(u*u**(-1\/15)\/u))*u)\/u)) assuming u is positive.\nAnswer: u**(-113\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2. Let i(g) = 14*g + 20497. Calculate i(l(q)).\nAnswer: -28*q**2 + 20497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1)\/i)**(-10)\/((i\/i**(-2))\/i**(-1\/5))*(i**(-10)*i*i**(-6\/7))**(-2\/35) assuming i is positive.\nAnswer: i**(-3096\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -105*d + 5279. Give h(51).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m + 96. Let a be (1\/2)\/((-4)\/(-16)). Suppose 6 = -y + 11. Solve 4*c - c = y*n + m, -a*c = -8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143)*1 - sqrt(143)) + sqrt(143) - sqrt(143))*5 - sqrt(143))\/(sqrt(22)\/(sqrt(6)\/sqrt(3))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. What is the smallest value in 2\/11, 3, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/8*((-1215)\/25 - 1). Let g(l) = -367*l + 123*l + t*l + 118*l. Let k(x) = -2*x + 1. Determine k(g(s)).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190047 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 2402103?\nAnswer: 2402052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797\/(4\/(72\/6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3)\/g*g*g**(2\/5))\/(g**15*g**(-19)))**32 assuming g is positive.\nAnswer: g**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*u - 245*u - 322*u)*(-25 + 0*u - 2*u + 31).\nAnswer: 998*u**2 - 2994*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -3 (c) -1 (d) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30827821?\nAnswer: 53, 581657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-11)\/(-792)*18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/10 + 2\/(-5). Let t(x) be the third derivative of -3*x**4\/4 + 7*x**3\/6 - 5*x**2 - 4. What is the units digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -8. Let p(g) = 6*g**2 - 2*g - 2. Let h(m) = -7*m**2 + 3*m + 2. Let r(b) = 5*h(b) + 6*p(b). What are the prime factors of r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.16 take away 282202?\nAnswer: -282372.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 3 - (3 - -3 - (-403)\/(-31)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 16*v + 6*z - 0*z - 42, 0 = v - 2*z - 11 + 4 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 6045 = 39*i + 12*i + 154*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14567*u + 0*u**2 - 8200*u - 6367*u - 2*u**2 + 7*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 24. Let y(n) = -n. Let b(x) = -x**2 - 12*x + 3. Suppose -z + 25 = 19. Let t(w) = z*y(w) - b(w). Determine t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -718*q**3 + 3414*q**2 wrt q.\nAnswer: -4308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - 5*p)*(271*p**4 - 2049*p**2 + 2049*p**2) + 0*p**4 + 0*p**4 - 2*p**5 + 4*p**5 - 5*p**5 - p**5 + p**2 - 3*p**5 - p**2.\nAnswer: -820*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57604447382 take away -0.29?\nAnswer: 57604447382.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.24, 3\/11, 1\/16, 5\/3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (0 - -3*2). Solve -l = w*j - 5, l = -0*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 2*b**2 + b**4 - 16 + 16 - 4*b + 4*b**3.\nAnswer: -2*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/944 and 79\/859586?\nAnswer: 405724592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44526*i = -44560*i + 1258 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*n**2*u**2 - 2727*n**2*u - n**2 - 6423*n*u**2 + 4*u**2 - u + 1 wrt n.\nAnswer: -32*u**2 - 5454*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.38, 1\/2, -2, 2\/177, -35, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + -2 + sqrt(7)))**2 + (sqrt(7) - (sqrt(567)*2)**2).\nAnswer: -1468 - 199*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331211 (base 4) to base 16.\nAnswer: f65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 15) in base 2?\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2103475080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4135555, 4135544, 4135531, 4135516, 4135499, 4135480?\nAnswer: 4135459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41341225*0.1.\nAnswer: 4134122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11776775 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**3 + 5*y**2 + y - 5. Let v(b) be the first derivative of -8*b - 29 + b**2 + 8\/3*b**3 - 11\/4*b**4. What is 8*t(x) - 5*v(x)?\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611720?\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 16*k**3 + 53*k**2 + 19*k - 75. Let w(b) = 5*b**3 + 18*b**2 + 6*b - 25. Let u(n) = 3*f(n) - 8*w(n). What is the units digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 3*g + 48*g - 827121 = 0. What are the prime factors of g?\nAnswer: 3, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-220)*298\/88 + 6\/(-33)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*a + 0 = -1, -a - 1 = w. Let j(k) = -8*k + 5. Let s(y) = y - 1. Calculate w*j(l) - 6*s(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(136) + sqrt(136))*5*6)\/(-1*(sqrt(8) + sqrt(32)\/sqrt(4)) + sqrt(392)*1).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/19)*g*g)\/(g**(-2)*g*g))**(-23\/3)\/((g**(-7)\/(g*g**(-1\/2)\/g))\/(g**(-1)*g\/(g\/(g\/g**(-4)*g)))) assuming g is positive.\nAnswer: g**(-529\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 2*j + 23*j**3.\nAnswer: 23*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4\/7 + 11440*c**3\/7 - 22940*c**2\/7 - 125880*c\/7 + 137376\/7 = 0?\nAnswer: -2862, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 9) + 17 + 1 + (-7 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(6*a - a - 3*a)*(-17 + 30 + 4) in the form m*a + d and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484781?\nAnswer: 11, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjflmlwim. Give prob of sequence wl.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = y + 24, -19 = -3*c + 3*y - 7*y. Suppose 21 - 27 = -3*r. Suppose 5*o = o - 5*i + 33, -r*i = o - 9. Solve c*a + g - o = 0, 3*a + 0 = 3*g - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -20. Let r = 5.6 + z. Which is the smallest value? (a) 2\/5 (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31666 + -16274. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1678442.\nAnswer: 2, 839221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let b(x) be the first derivative of -3 - 4*x + 5 - x**2 + 5*x. Determine b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.26 - 79.74. Let q = s + 80.7. What is the biggest value in -1\/4, q, 2\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/7))\/a)\/a*a)**(-5\/12)\/(((a**(-2\/17)*a*a)\/a)\/a*((a*a**(-15)*a*a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(6329\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.958*-0.4.\nAnswer: -0.3832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:41 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/150 - 17*j**4\/5 - 203*j**3\/15 - 706*j**2. Factor h(p).\nAnswer: -2*(p + 1)*(p + 203)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 - 208. Is 7 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -18*h - 11. Let y(d) = 9*d + 6. Let g(s) = -6*r(s) - 11*y(s). Let w(x) = x**2. Determine g(w(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59\/481 - -4\/37. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4 + -6*(5 + -4). Let p(n) = 2*n**2 - 11*n - 22. Let s be p(k). Suppose 27 = w + 11. What is the highest common divisor of w and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:04 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anvafru. What is prob of sequence vrf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 25 = 5*y, 0 = -5*h - 16 - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 47*w + 6655 = 0. Suppose -22 = 123*k - 124*k. What is the highest common factor of k and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*h - 64*h - 142*h - 4 + 4 + 7*h - 2 + 2 - 2*h + (0 - 2 + 0)*(-h + h + 2*h) - 4*h - h + 3*h + (-h + h - h)*(4 - 2 + 0) as w + v*h and give v.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11110.082514 - 11110. What is c rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.844? (a) 0 (b) 0.13 (c) -2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 561047 divided by 144\nAnswer: 561047\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*h - 275, -5*d + 517 = h + 68. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 38*d + 48. Give q(35).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34348608*a**3 - 64363170.\nAnswer: -103045824*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -2\/21 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 + 4750778*j**2 + 2375410*j - 23753900 = 0.\nAnswer: -5\/2, 2, 1187695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-32))\/((-3 - -1)\/(-16)). Suppose -22001 = 4*p + w - 160032, -2*w - a = 0. Suppose p = 12*v + 6512. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - m**4 + 3*m**4 + (-2*m**2 + m**2 - m**2)*(-2*m**2 - 3*m**2 + 4*m**2) + 3*m**3 - 3*m**3 - m**4 + 0*m + 0*m - m**4 - 5*m**4 - 4*m**4 + 6*m**4.\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 48. Let q be u*-3*123559 + -3 + 0. Let h = 1458649 + q. Round h to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 8*s**2 - 7*s.\nAnswer: -s*(s - 7)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18876339 and 122598.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114666\/(-218788) - ((-4)\/8*1 - 0).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 183907716 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 6213 + 6153 = -4*y, 2*y = 4*b - 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3.7, 1, -1, -2\/13, -0.7, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/28 + 108\/(-168).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = -1837 + 2042 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3 + 1541009*n**2 + 36984648*n + 221908752 = 0.\nAnswer: -12, 1541033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 539 and 96089147?\nAnswer: 96089147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.44558 minutes in seconds?\nAnswer: 4466.7348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*r + 5, -3*u = -9*r + 13*r + 35. What are the prime factors of u*(-4 - (-120)\/(-4))?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.01\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:21 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -8, 0, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 355841 = -137916. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2948 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let o(y) = -2*y + 3. Suppose 0 = 4*i + 4*j, -2*i + 3*j + 7 = -8. Let v(g) = -3 + 0*g - 2*g + 5 + 2. Let r(t) = i*v(t) - 4*o(t). What is n(r(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 603732130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.43 - -0.57. Let q = 26 - l. Which is greater: q or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2353839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 7 - 19*f + 5 + 3 to the form m*f**2 + z + g*f**3 + y*f + d*f**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2, -3*z + 405 = 3*y. What is the greatest common divisor of 76 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 4. Let p = 13 - i. Suppose -p*f = y - 101, -y - y = 4*f - 134. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 1 i when three letters picked without replacement from {m: 1, i: 1, z: 10, p: 5}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 972159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -6 + (29 - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b - 78. Let g(s) = -6*s - 8 - 15 + 21 + 3*s. Let i(v) = 26*g(v) - 2*h(v). What is the first derivative of i(o) wrt o?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide (-37)\/(14985\/(-2203170)) + 4\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 14*h**2 + 0*h + 34*h**2 - 13*h**2.\nAnswer: 7*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = -z, -12*z - 15 = -16*z + 3*l. Let o be 1 + 12\/(-4) - -7. Let p = -8 + 13. Solve -p*u + o = -2*y, z = -y - 3*y - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*s + 18*s + 12*s)*(s - 4 + 3 + 3) in the form j + u*s + v*s**2 and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 2 - 318*x**2 + x**3 + 4 + 324*x**2. Let d be (161\/(-115))\/(((-12)\/3)\/(-20)). What is l(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 2*i + 4*i**2 - 4 - 6 + 7. Let m(h) = 9*h**2 - 5. Determine 5*c(y) - 3*m(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o + 4. Let h(g) = 11*g + 1 - 23*g + 97*g - 12*g + 8*g. What is x(h(j))?\nAnswer: 648*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + 0 + -1 - (sqrt(190)\/sqrt(160) + 5).\nAnswer: -8 + 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -2, -2\/13, -0.2, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/29344 and -61\/230560?\nAnswer: 1613920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1916)\/(-14) - 7\/(-49). Let f = 159 - h. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*q + 734*q = 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 765\/2 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8*(-2 + 7\/2). Let p = r + -2. Suppose 3*v + 2*v + 3*y = 20, p = -2*y. Calculate the highest common factor of 49 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 7*z**2 + 58. Let w(f) = -4*f**3 - 8*f**2 + 58. Calculate -6*a(p) + 5*w(p).\nAnswer: -2*p**3 + 2*p**2 - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 102503 - 100903 = 0 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - -25) + -45 + -57?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 208. Let k(x) = 3*x**3 - 5*x**2 - 8. Let w(t) = -2*t**3 + 3*t**2 + 4. What is d*k(n) + 5*w(n)?\nAnswer: -n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -157*r + 8757. What is d(56)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2102\/15457 or 1?\nAnswer: 2102\/15457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -13. Let i(y) = 6*y + 5. Let x(b) = -2*b - 2. Let c(o) = 4*i(o) + 11*x(o). Let r(k) = k - 1. Give n*c(d) + 9*r(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 6) to base 3\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 197.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9328, 19255, 29180, 39103, 49024, 58943?\n\"Answer: -w**2 + 9930*w - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*v**2 - v**2 + 1)*(37160109*v + 3671*v**2 - 37160109*v) - 2*v**2 - 2*v**4 + 2*v**2.\nAnswer: -3673*v**4 - 3671*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 3, 12126 in descending order.\nAnswer: 12126, 137, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90202628.\nAnswer: 2, 97, 383, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -349*j - 82. Let a be z(-11). Let g = a + -1662. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 7*x + 65. Let o be y(-5). Is -9\/5 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-15*w**2 + 2 - 1 - 70*w**2).\nAnswer: 170*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -286.592 and -557.\nAnswer: 159631.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419330 is divided by 344.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 0*n**2 + 5\/4*n**5 + 0 - 1\/12*n**4 + n + 0*n**3. Is 21 a factor of u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/9))**(-22)\/(p**(-1\/3))**36)\/((p**(1\/4))**(17\/2))**(18\/13) assuming p is positive.\nAnswer: p**(-3769\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 - 40*w - 10. Give a(-11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 bigger than 753992\/2171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 7 = -8, -2*f - 4*d = -950. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -l + 5*l. Let 7*j**2 - 188 + 186 + l*j**2 - 11*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3\/3 + 3*j**2\/2 - 22. Suppose 2*z = 4*s - 14, -3*s + z = s - 9. Let x(k) = -6*k + 2. Let c be x(s). Determine d(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 15) + (-2 - -9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -20. Suppose -5*r = -g - 73. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*u + 25*u + 231*u + 1900 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 342 + 64 = 0. Let z = s - 129. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27204?\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13446 - 13446.1. Which is the nearest to y? (a) 1\/3 (b) -12\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047081 rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70794441 divided by 2?\nAnswer: 70794441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -44.1. Which is the second smallest value? (a) -2 (b) u (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*x - 60 = 403*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102401 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14148 - 381\nAnswer: -14529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - -7 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 12806 (b) 18\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -64, -95, -128?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -19*v**4\/33 - 1139*v**3\/33 + 30*v**2\/11 + 3480*v. Determine y so that o(y) = 0.\nAnswer: -30, 1\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2 + 6 - -103. Let s(t) = p*t**2 + t**3 - 21*t - 16 - 86*t**2 + 69. Let y be s(-22). Solve -5*g = 2*v - y, 4*v + 0*v - 37 = -5*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 - -609. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12728 - -305471\/24. Find the common denominator of i and ((-5)\/(-6))\/(8\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/6 - 4127075*y**2\/3 + 8254153*y\/2.\nAnswer: -y*(y - 3)*(y + 8254153)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 571 + 1 + 4 + 3. Suppose a + 6555 = 6*x. Suppose 11*w = -x + 3323. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 11*d**2 + d - 14. Calculate w(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134976282 to the nearest integer?\nAnswer: 33689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2\/3*d**3 - 4*d - 34 + 1\/2*d**2. What is the derivative of b(o) wrt o?\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -821, -1709, -2939, -4505, -6401, -8621?\nAnswer: -11159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 + 31 = 0. Let y(c) = -23*c + 325. Calculate the remainder when y(12) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34693810 rounded to the nearest one hundred thousand?\nAnswer: 34700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 8 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -478 + 799. Let s = -225 + t. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/w)\/(w\/(w\/w**(3\/7))))**(-4\/9) assuming w is positive.\nAnswer: w**(-44\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Suppose 2*h = h + z. Let i = -389 - -391. Solve -i*d + 6 = -h*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 10. Let b(i) = i**2 - 10*i - 181. Calculate the remainder when b(-14) is divided by y(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = 2*d - 11 - 6, -482*p - 8*d - 10 = -10*d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilometer in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 4, r: 2, t: 9}. Give prob of sequence grr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 344 + -43530?\nAnswer: -43142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 + -96. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -644295, -1288599, -1932933, -2577303, -3221715, -3866175?\n\"Answer: -h**3 - 9*h**2 - 644270*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide ((-71872)\/1920 - 1\/6)\/((-7)\/1225)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**13*t)*t**(-6\/13))**(7\/5))**(-9\/2))**(4\/25) assuming t is positive.\nAnswer: t**(25326\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2624 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10117*f**2*y - f*y + 5*f + 40 wrt f.\nAnswer: -20234*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235.33 - -236. Let y = -1.33 - j. Let r = 0 + 0. What is the nearest to 1 in r, y, -2\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.46 + 7.75. Let g = t - 4.328. What is g rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 996, 3838, 8582, 15234, 23800?\nAnswer: 34286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5200.727 days in seconds?\nAnswer: 449342812.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let o(l) = -2 + w + 2 - l. What is the units digit of o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205525330 + -1?\nAnswer: -205525331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-9)\/(((s\/s**(-5))\/s)\/(s\/s**6))*(s**5\/s*s*s*s\/(s*(s\/((s**(-1\/7)\/s)\/s))\/s))**(2\/39) assuming s is positive.\nAnswer: s**(-73\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -997098 (base 14) in base 9?\nAnswer: -10713541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 + -140. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.934233445 - 0.065774155. Let k = 25 + -61. Let h = k - v. What is h rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 15. Let y be (6\/(-27))\/(8\/6). What is the nearest to 0 in b, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22732 + -1.21228. What is m rounded to 2 dps?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-441)\/(-36))\/((-3)\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113041694 or -113041695?\nAnswer: -113041694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 89251.47 millimeters?\nAnswer: 0.08925147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3\/5 + 39*r**2\/5 - 414*r = 0.\nAnswer: -69, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose -3*b = -d*b. Suppose 3*c + b*c = 36. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -729 and 603648345581.\nAnswer: 603648344852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282678 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 193 + 10 = -5*u, v = -1. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5551006 (base 11) to base 12.\nAnswer: -331722a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -100. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69534484?\nAnswer: 2, 883, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q + 3. Let h be 3\/(-2 + 1 + 0). Let j be k(h). Is (205\/j)\/(1\/(-3)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/19*(-5)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (1 + 2)) + 123 + -2. Let i = -86 + v. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)\/(sqrt(12)*-1 - sqrt(12)))**2 + (sqrt(475) + -2)**2)*-3 - (-2 + 1*(sqrt(2299) - (sqrt(2299) + sqrt(2299) + 1 + sqrt(2299)))**2)*-3.\nAnswer: 192*sqrt(19) + 104535\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 13 = 3*x, 433*h - 434*h - x = 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*d = -56*d + 6. Solve -7*i + d*i - 12 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (10 - (0\/(-3) - 0)). Which is the biggest value? (a) y (b) -0.3 (c) -2\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -33, 26, 26.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*v**2 - 1 - v**3 - 3*v**2 as d*v + r + p*v**2 + m*v**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 12*t. Suppose t = 40*q - 56*q + 192. Solve 4*p + q = 8*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + m - 4)*(0*m + 6*m - 5*m) + 14*m**2 + 154 - 154 - 3*m - 1 + 4*m**2 + 5*m - 3*m in the form y + z*m**2 + l*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.577715 rounded to 2 dps?\nAnswer: -265.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 775.452*-3\nAnswer: -2326.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66345703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1084836 litres to millilitres.\nAnswer: 108.4836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 6*d**2 - 140 - 115 + 18*d**2 - 5*d**2.\nAnswer: d**2 - 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 787300 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, d: 4, k: 13}. What is prob of sequence dkd?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1195 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -23*s + 50. What is n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 213354 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4*sqrt(143)*-2 - sqrt(143)) + sqrt(143) - sqrt(143) - sqrt(143)) + 1*2*sqrt(143))\/((2*sqrt(704) + sqrt(704))*-2))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 8 + 83*w**3 - 2060*w - 43*w**3 + 2077*w - 41*w**3. Give j(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4218330177.\nAnswer: 3, 31, 5039821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -6*t**3\/5 - 24*t**2\/5 + 24*t\/5 + 96\/5 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and -74?\nAnswer: -5846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -570 + 7*w**2 - 299 + 17*w + 7*w**2 + 233 - 7*w**2 wrt w.\nAnswer: 14*w + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven halves of a decade?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j**2 - j + 9. Let i be x(0). Let p(b) = -b**3 + 10*b**2 - 9*b + 2. Find the common denominator of p(i) and -52\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -5*i**3\/3 + 9*i**2\/2 - 4*i - 27. Suppose -5*o - 10 = 5*l, 5*o - 7 = l - 29. What are the prime factors of y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15266 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-5)*(-140)\/(-84). Does 4605 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 - 32?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11082)\/(-36)*2 + 8\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38793 and 12864.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.102*-12.7\nAnswer: 1.2954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00150519017 rounded to 6 decimal places?\nAnswer: 0.001505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12125585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 0. Suppose 2*r - q = b, -2*r + 4*r + 6 = -4*b. Suppose 10*s = 7*s + 3. Solve 2*v = -s + r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-84)\/(-15))\/((-4)\/20). Let i be (16\/j)\/((-10)\/35). Suppose -i*x + h + 324 = 0, 4*x - 648 = -0*x - 5*h. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102111131 (base 4) to base 6\nAnswer: 1335405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331) + -1 + sqrt(1331))**2 + (sqrt(1331)*-1*-5 + sqrt(1331))**2.\nAnswer: -132*sqrt(11) + 53249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.416377l in millilitres?\nAnswer: 7416.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1872) - (sqrt(1872) + -2)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3278 and 1490.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**6\/2 + w**5 - 5*w**4\/6 - 10*w**3\/3 - 5*w**2\/2 - 5*w. Factor q(s).\nAnswer: 5*(s - 1)*(s + 1)**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37606787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -4*w**7\/189 + 4*w**6\/9 - 21*w**5\/10 + 73*w**4\/27 - 11*w**3\/9 + 120*w - 5. What is o in t(o) = 0?\nAnswer: 0, 1\/2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 19*l - 7. Let f be h(10). Let j be 25 + (-1 - -3)\/1. What is the highest common divisor of j and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 - (5 + 860\/(-300)). Which is smaller: -14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144 (base 5) to base 13.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11267273761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -13\/5*u**5 + 26*u + 0*u**2 + 1\/30*u**6 + 61\/6*u**4 + 0 + 0*u**3. Find the third derivative of m(o) wrt o.\nAnswer: 24*o - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 + b**2 + 0*b**5 + 1\/40*b**6 + 0. Solve s(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/7 (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (40\/6)\/(495\/4158). What is the highest common factor of u and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 1. Let h(c) = 22*c**2 - 10*c**3 - 25*c + 589 + 3*c - c**3 - 567. Determine -22*f(u) - h(u).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*m = 14537 - 2553 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 17. Suppose -3*b - w = -15. Let a = b - 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c**2*d*f + 5033*c**2*f + c*d + 616*c + d*f wrt c.\nAnswer: -20*d*f + 10066*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 18 + 33 + 25 + -80?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 8*x**2 - 16*x + 80. Let m be u(7). Does m = -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/5 equal to -128147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459736143*c**2 + 228432*c - 1557 wrt c.\nAnswer: -919472286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1001, 1488, 1977, 2468, 2961?\n\"Answer: t**2 + 484*t + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*-1*6 - -3*2*sqrt(190))*4)\/(-5*(-3*sqrt(320))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/3332)\/(2451\/(-731))?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5376 + 5489. What is the remainder when o is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*w - 14 + 29*w - 17*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/379902 and 37\/126634.\nAnswer: 379902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lklllkkklkkl?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 69 = 4*a + 109, -32 = -p + 2*a. Calculate the greatest common divisor of p and 3439.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -21, -40, -65, -96?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -14 + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -76, 6, 154, 392, 744?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69 in -1, 2\/7, 1\/5, -0.2, 0.412, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (4 + sqrt(176)*2)) + 2)**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-24 - (-26 + 48)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -60*a + 36*a + 64 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.1563 to 1 dp.\nAnswer: 82.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/12 + r**4\/12 + 7*r**3\/6 - 19*r**2 - 29*r. Let s(c) = c**2 + c + 1. Determine -q(z) + 4*s(z).\nAnswer: -z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145592 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 highest common divisor of 32 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h - 6571 + 26467. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Let c(y) be the first derivative of 2*y**3\/3 - y**2\/2 + 2*y + 16. What is c(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + m + 2*m = -24, p = -2*m - 7. Let k(l) = -l - 10. Let q be k(p). Which is smaller: q or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 + 2*t. What are the prime factors of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 237576548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 2622.\nAnswer: -5\/1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 24153080?\nAnswer: -120765400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.2 and -5160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-2156))\/((-38)\/209)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 67. Calculate the highest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g\/g**6)\/g*g)\/(g**(-22)*g*g)*g**(12\/11)\/g*g*g**(-2\/45)*g*g assuming g is positive.\nAnswer: g**(9923\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/6 - (3 + (-7)\/3). Let d(t) = t**2 + 9*t - 5. Let v be d(i). Suppose 4*p - 3191 = 3*x, 4*x + 3990 = -0*p + v*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-2)\/(8\/(-12)). Let d be (j\/6)\/(-2)*-9. Let s be 4\/d - (-34)\/6. Solve -s = -5*n + 6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + 90\/(-40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268 + 1879\/7. Suppose -5*o + 9 = 4*x, -2*x = -0*o + o + 3. Which is the third smallest value? (a) x (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-483)\/(-2))\/(69\/92). Let k = 324 - r. Determine c so that 346\/5*c**k - 112*c**3 - 88\/5*c + 8\/5 + 294\/5*c**4 = 0.\nAnswer: 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120904828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - -4 - 13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*o - 4*l, 5*o + 2*l - 7 = -2*l. Let a = -71 - -69. What is the fourth smallest value in 7, o, 2\/3, a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 + -104. Calculate the remainder when f is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 2:43 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5163 to the nearest one hundred.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1026*l + 1. Let a(j) = -49*j + 3. What is a(c(t))?\nAnswer: -50274*t - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*d = -2*i + 323, 2*d - 251 = -3*i. Let u be i\/3 - (3 + -6). Let v = u + -18. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -1, 0, 5 in descending order.\nAnswer: 5, 0, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 16*n**2 + 23*n - 2. Is 15 a factor of v(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1130 - 15?\nAnswer: -1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1597 - 1592. Solve t*s = 5*a - 8 - 22, -3*s - 2 = 5*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 238*u**3 - 40*u**2 + 44*u**2 + 221*u**3 in the form c + d*u**2 + j*u**3 + k*u and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 2 + 4*j + 5*j + 0. Let t be z(1). Let f = -1 + t. Solve 4*p + 4*w = 3*p - 12, f = 3*p + 3*w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/9 - 16240*v**2\/3 + 194912*v\/9.\nAnswer: -2*v*(v - 4)*(v + 24364)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 + -172. Suppose 5*z - o*a = 3, -2*a + 5 = -3*z + 8. Suppose -l - 2*b = -12, 6*b = 2*l + 3*b - 10. Solve -25 = z*v - l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*v**3 + 32*c*v**2 - c*v + 2*v**3 + 100*v wrt v?\nAnswer: -18*c*v + 64*c + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 - 386 = -24*d + 333 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ccwcccwcuucpupcuupu.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**13*b)*b*b\/(((b**(1\/2)\/b*b)\/b)\/b))\/((b**(-4)\/b)\/(((b*(b*b**7\/b*b)\/b*b)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igiiiiviivggivvgiig. What is prob of sequence vgv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(6\/(-1)))\/((-216)\/36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 20. Let w = r - -17. Let v be w\/28 + 24\/14. Solve v*k = -0*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 13*r**2 + 2*r - 40. Is d(-11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + 34 + -13 + -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18, 7, 58, 147, 286?\n\"Answer: 2*a**3 + a**2 + 8*a - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 13*k**2 + 14*k - 9. Let f be u(14). Let c be 30*(-3)\/f*-2. Calculate the common denominator of c\/30 + (-694)\/(-132) and 39\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) 1.5 (c) 2 (d) 1\/12 (e) -1\/2 (f) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3764 and 111979?\nAnswer: 447916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w + 8. Is 2286\/15*5\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -43. Let b be (-30)\/4*x\/(-20). Calculate the common denominator of 35\/4 and (-12)\/b - (-58)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14541169 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1 - 1 + y - 1. Let o(f) = 5*f - 6. Let r = -28149 + 28155. Calculate r*s(l) - o(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z**2 - 266*z**2 - 622*z**2.\nAnswer: -922*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 5 + 2*d + 16. Let k be f(-8). Suppose 30 = k*o - 18. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -404 + 403.9999117. What is z rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250910.\nAnswer: 2, 5, 11, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30252.4 less than 5386389?\nAnswer: 5416641.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10*h + 15*h + 19*h**2 - 25*h + 1.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4445145615 - 1?\nAnswer: -4445145616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5461629 or 12?\nAnswer: -5461629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.55 from -5.47.\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - i + i)*(6 - 4 + 11).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/(7\/(-252)). Let y = u + -6. Suppose -k + 0*k = -y. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:54 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 7*s**2 - 4 + 2*s**4 + 0*s - s**3 - 5*s**2 as o*s**3 + i*s + b + t*s**4 + g*s**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -0*q + 30*q - 21. Suppose -c + 54 = c + 4*i, -2*i - 10 = 0. Calculate the highest common divisor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 455, -9, 73, 5 in ascending order.\nAnswer: -9, 1, 5, 73, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 2*u**2 + 5. Let r be 2 - (0 - -4) - 4. Let j(q) = 6*q**3 + 6*q**2 - 14. Give r*j(x) - 17*c(x).\nAnswer: -2*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 69020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17474 - (1155\/(-55) + 20\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + -3 + (5 - 288\/159) and 10\/7.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 20*b**6 - 12*b**2 + 8*b + 8. Let k(z) = -7*z**6 + 4*z**2 - 3*z - 3. Let g(a) = 3*h(a) + 8*k(a). Find the third derivative of g(t) wrt t.\nAnswer: 480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43535043 (base 6) in base 11?\nAnswer: 81044a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2*o - 7*o - 37 = 0, -5*o - 45 = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 792*z + 4128*z - 925*z - 199750 for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*y + 2 = -5, -3 = i - 4*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/550 - 547\/1650. Sort n, 1, -2\/9, -0.3 in ascending order.\nAnswer: n, -0.3, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 39. Let v be 3\/27*6 - (-118)\/(-6). Let q(x) = -x - 15. Let j be q(v). Solve -2*c - k + r = c, -j*c - 2*k + 22 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20799466157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**2*h*r - b**2*r - 2*b**2 - 4*b*h*r - b*h + 5*h*r - 2*h wrt b?\nAnswer: 8*h*r - 2*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 6*p**2 + 6*p - 11\/6*p**3 + 0. Differentiate y(k) with respect to k.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2 - 2*s + 1. Let l be y(2). Let x = l + 12. Suppose -6*o - 9 = -x. What is the remainder when 8 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4 - a**3 - 614*a**2 + 2177*a - 3 wrt a?\nAnswer: 12*a**2 - 6*a - 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 times -27523\nAnswer: -715.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:15 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-22)*i*((i*i**4)\/i)\/i assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 10*k + 5. What is q(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*(-12)\/14 + (-24846)\/574.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cjccccccccccj?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 7:36 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + q = 6*q + 45, 3*w - 5*q - 19 = 0. Let o = 462 + -458. Solve 5*t - 4*y = -0*t - w, 27 = -3*t - o*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44231022 - 3?\nAnswer: -44231025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*5\/(-15))\/(-1). Suppose -3*x = 5*g + 12, r*x = x - g - 4. Is 25 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42860?\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30545 is divided by 2986.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 1. Let s be h(6). Suppose s = 4*o + n, -4*n + 3*n + 7 = o. Suppose 3*l + b - 12 = 0, b + 2 + 1 = 0. Solve -2*i = -v - i, o*i = -l*v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -40 (b) 2 (c) -6\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22932, -45880, -68828, -91776?\n\"Answer: -22948*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 7*v - 159 + 156. Let p(n) = -4*n - 2. What is 5*d(s) - 7*p(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -90, 0, 0.062, 2.2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -3734\/9, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6960 is divided by 6953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172962, 172963, 172964, 172965?\nAnswer: 172966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2604)\/(-4992) - 96\/(-1024)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**1)**(-1\/74))**(-2\/3))**38 assuming q is positive.\nAnswer: q**(38\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 13*p + 13. What is the remainder when z(-6) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -603022.94 rounded to the nearest one thousand?\nAnswer: -603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g - 4. Let d(j) = j**2 + 4*j + 3. Let q(n) = 2*d(n) + 3*m(n). Let v be q(-3). Let k be 4 + (4 - v\/4). Solve l = k*a + 2*l + 3, -3*a = l + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146225922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10255504 (base 6) to base 7.\nAnswer: 2402026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + t**2. Let o be k(-1). Suppose -60 - o = -4*l. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 12:45 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8169 and 15975841.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 1}. What is prob of sequence id?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-3)*-1)\/(14\/(8512\/95)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -154 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 205 and -1437859.\nAnswer: -1437654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4774 = -5*p + h, 0 = h - 4*h - 3. List the prime factors of (-5)\/(140\/12) + p\/(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24848 - 24846. Solve 0 = -m*h - 703 + 713 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 241, 276, 247, 148, -27, -284?\n\"Answer: -k**3 - 23*k**2 + 169*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.3. Let g = v - -0.2. Let r = 0.58 - 0.08. Which is the nearest to g? (a) r (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13572.663 months?\nAnswer: 1.13105525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/40*((-10)\/(-133))\/(18\/21)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1990\/7164)\/((-75)\/(-36)). Factor v*j**2 + 4\/3*j + 6\/5.\nAnswer: 2*(j + 1)*(j + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/12)*u)\/((u\/u**(-7))\/u))\/(u**(-2\/3)\/u*(u*u\/u**(-3\/5)*u*u)\/u))**(-1\/13) assuming u is positive.\nAnswer: u**(157\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 + 3 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19384 bigger than -366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3))**35)**21 assuming f is positive.\nAnswer: f**2940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/28 + (-100)\/175?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 107*q**2 - 60*q - 320. Let l be c(-54). Calculate the greatest common divisor of l and 9004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51228 or 51219?\nAnswer: 51219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4558230700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 7 + 26 - 2 + 0 + 0 + (-1 + 2 - 2)*(0 - 4 + 3))*(-z + 2*z + z) to x*z + t and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -37 + 0\/2. Let h = 68 + r. Let k = h + -21. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85337 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2*2\/2. What is the units digit of (7 - (-3)\/6)\/(p\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13160 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/13 (b) -4\/3 (c) -3\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*x + 32 + 123 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1, 2, -4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291 - 205. Let q be (h\/4)\/(2\/4). Suppose -z + q = -3*w, -73 + 217 = 4*z - 5*w. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1361324 and 340331?\nAnswer: 1361324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -15793?\nAnswer: -15793.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - (-1 + 2 + -294 + 309 - 10)) + 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41510701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 3*u**2 - 33*u\/4 - 9\/2.\nAnswer: 3*(u - 6)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 10*n**2 - 5*n - 9. Let u be i(9). Let v = -15 + u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-108) - (-4)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256495372 to the power of 1\/2, to the nearest integer?\nAnswer: 16015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.024 (b) -3\/5 (c) 3 (d) 0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*135\/162 - (3 + 38 + -6).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175881453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 236, -71 in decreasing order.\nAnswer: 236, 4, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2)*15\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18707606 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*a + 72. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 85849*o**5\/3 - 403168*o**4 + 1554812*o**3 + 166064*o**2\/3 - 5680640*o - 3763200 = 0?\nAnswer: -280\/293, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 + 118718*x\/15 + 29600116\/3.\nAnswer: 2*(x + 1274)*(x + 58085)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00168 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36193985 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 18786112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13173617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f - q, q + 0 = f - 6. What is the second derivative of f*c**5 - 90 + 43 - 3*c + 47 wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199763924 divided by 4\nAnswer: 49940981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 12759.\nAnswer: 89313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155645*s**2 + 4 - 4 - 155651*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36\/15 - 3\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*q - 6852 = -1067*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6*s + 9 - 19*s - 79*s**3.\nAnswer: -79*s**3 - 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*v - 2*v. Put v, 3, -5, 5 in descending order.\nAnswer: v, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 314*l**2 - 1260*l + 3807. What is y(-318)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.83 - -0.17. Put 10\/3, 0.3, t, 0.5 in ascending order.\nAnswer: 0.3, 0.5, 10\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14808557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 1:25 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**7\/1400 - r**6\/120 - r**5\/100 + 2*r**3\/3 + 2. Let k(j) be the third derivative of a(j). Factor k(f).\nAnswer: -3*f*(f + 1)*(3*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. Let n(d) = -d**2 + 6*d - 1. What is the least common multiple of 4\/o + 140\/15 and n(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 13. Suppose -x + t + 2 = 0. Let g be x - (-1 - (0 + -2)). Sort -1, 4, g in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1836*k + 8*k**3 + 1836*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.261 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 56*x**2 + 3*x + 334. What is l(56)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6777 and 4518.\nAnswer: 13554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1107)\/54*1*-1*(-56)\/14)\/4?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i - 15. Let h(t) = 5*t + 5. Let n(q) = -17*h(q) - 6*k(q). Suppose 2*r = -2*r + 12. What is the least common multiple of n(r) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438510*f - 1438815*f = -6100 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + r = 24, -2*v + 11 + 1 = -2*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**3 + 605*k**2 + 317*k - 160. Determine o(-46).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 311*w**2 + 6*w - 1. List the prime factors of p(2).\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (585*t - 7 - 5 - 584*t)*(2 + 6 - 2).\nAnswer: 6*t - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002463 to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (224\/84)\/((-40)\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + (-6 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let y = 0.05 + -0.03. Let s be 1\/((-28)\/3 - (-110)\/(-77)*-7). Which is the biggest value? (a) s (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -564*j**2 - 1510*j + 1510*j + 526 wrt j.\nAnswer: -1128*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8694922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*a = -166, 0 = 23*p - 32*p + 29*a - 24*a + 174 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5 - 0. Let b = 43.7 + 8.3. Let r = -47 + b. What is the closest to -1\/3 in 2, r, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1945, 3864, 5783, 7702, 9621, 11540?\n\"Answer: 1919*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a46837 - -28?\nAnswer: -1a4680d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2269*c - 16 = -2273*c, -v = -3*c + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6188 = 4*m, 2*m = 5*d - 16889 - 13941. Is 14 a factor of d\/63 - 22\/(-231)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.405752 meters to centimeters.\nAnswer: 940.5752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1205, 3675, 6145, 8615, 11085?\nAnswer: 13555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7319?\nAnswer: 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 13*q - 2*q = -45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = y, 2*n - 3*y = 5. Let t = 679 + -2035\/3. Let j = -7.9 - 1.1. What is the nearest to -0.3 in n, j, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78\/(-6) + 2133*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -30. Let f be (-3)\/o*50144\/120. Let s = f - 729\/5. Calculate the common denominator of -21\/2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 18. Let t be n(3). Let g = -140655\/14 + 10052. Find the common denominator of (t\/(-4))\/((-1)\/(-2)) and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1741904 is divided by 373.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2652 and 51?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1902.512 - -1897. Round l to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -18. Let k = a + 4.2. Let z = k - -0.768. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**2 - 66*o + 837 = 0.\nAnswer: -31, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 203 - 694 = 18*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2084, -4, -5, 378.\nAnswer: -2084, -5, -4, 378","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 + s + 7. Let t be a(6). Let g be (-85)\/(-30) - 2\/(-12). What is the second derivative of t - d**3 + g*d - 13 wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167 + 182. Are c and 27\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23333.\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 13*w**2 - 4*w - 15. Let q be b(6). Let a be ((-13)\/q - -2) + (-16)\/48. Solve 2*l + r = 5 - 2, -4*l - a = -2*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r + 5, -2*h + 3*r + 75 = 0. Suppose c - 6*c + h = 0. Let j = c - 5. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339*l**4 + 6*l**3 - 990*l**2 wrt l.\nAnswer: 8136*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - y**2 - 4*y + 2 + 2*y. Let i(v) = 1. Let s(l) = 2*i(l) + m(l). Find the first derivative of s(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 85\/60 + (-3)\/(-12). Let t = -91 - -90.8. What is the smallest value in -0.5, g, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -v + u, 5*u - 296 = -3*v - 115. Suppose v - 61 = 6*o. Calculate the greatest common divisor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*y = 5*i - 42, -i = -5*y - 2. Solve -7*m - 20 = -5*m - 3*n, -n = -2*m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 102*l**2 + 8*l + 689. Give h(-102).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 - 2. Let n = -11 - z. What is n rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 668 - 321. Let g = 888 - d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64, -51, -14, 59, 180?\n\"Answer: 2*g**3 - g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 10*n - 5. Let d = -23 - -14. Let t be l(d). What is the units digit of t\/(-3) - (-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2.019.\nAnswer: -2.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102 - -155302?\nAnswer: 155200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -314.7 * 0.5312.\nAnswer: -167.16864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p + 3. Suppose -5*q - 3*y = 10, 5*q - 4*y + 24 = -21. Let z be (10\/8)\/((-2)\/(-8)). Let o(r) = 4 - 6 + z*r + 6. Determine q*o(n) + 6*t(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865*n = -174*n + 10146 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-15) - 6\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -10 (b) -689 (c) -4 (d) 42\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.264 + 1700.\nAnswer: 1700.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -313 divided by -1\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -898*m**3 + 3*m**2 - 10*m + 5. Let k(a) = 2694*a**3 - 10*a**2 + 32*a - 16. What is -16*i(g) - 5*k(g)?\nAnswer: 898*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 9)*((-4*g + 3*g - 3*g)*(1 - 1 + 2*g) + 5*g**2 + g - g).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.229 * 350\nAnswer: -80.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 7. Let t be k(7). Let y be t\/(1*-4 - -3). Suppose 5*u + 8 - 28 = y. What is the smallest common multiple of 6 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2928.\nAnswer: 1\/1464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1762*y**3 - 11*y**2 - 1735*y - 22. Let a(i) = 587*i**3 + 4*i**2 + 578*i + 8. Let w(g) = -11*a(g) - 4*h(g). Find the second derivative of w(t) wrt t.\nAnswer: 3546*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 + -3 + -3) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(1\/9)*x)*x*(x*x**(-2\/15))\/x*x**(-11)\/(x*x**(-5\/4)) assuming x is positive.\nAnswer: x**(-1799\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.473 - -2.213. Let m = l + 0.26. Let s = m + 21. What is the closest to 2 in -2, s, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l + 74. Let j be b(10). Suppose -4*v - 4*p + 2 = -2, -2*v + j*p = 10. Which is smaller: -10\/51 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.34 and 157735.\nAnswer: 53629.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61852, -125184, -188516, -251848, -315180, -378512?\n\"Answer: -63332*q + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 15 - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3731, -3728, -3725?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -164573 - -212?\nAnswer: -164361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a. Let v be 2\/(2*-2)*-6. Let k(f) = f - 2*f + v*f. Give b(k(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*t - 100*t + 36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318970283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19200351.41 rounded to the nearest 100?\nAnswer: -19200400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -57.1092?\nAnswer: 114.2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-22)*(10 - 2) - 2. Suppose -m = w*p - 7*p + 8697, 0 = 3*p + 5*m - 5207. What is the greatest common factor of 47 and p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75473353*y**3*z**3 + 3*y**3*z**2 + 432*y**3 - 3033*z**2 wrt z?\nAnswer: -452840118*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 27*n = -148 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.24 - -5.2399113. What is k rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -0.12 (c) 0.044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.32 - -15. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32566 is divided by 1561.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*w**4 - 61 + 61)*(-4 + 4 + 2 + (1 + 2 - 5)*(-2 + 1 + 0) + 3 - 2 - 3).\nAnswer: -214*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672818 divided by -836409?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/((-2)\/(-4)). Let c(j) be the first derivative of -j**3\/3 + j**2 + 2*j + 5. Let l be c(2). Solve -f*i - 19 = -w + 3*i, -20 = -l*w + 4*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -374, -563, -752?\n\"Answer: -189*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let z(j) = -j + 22. Let i(x) = -2*c(x) + z(x). Is i(11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 3142132310?\nAnswer: 3142132301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 5, 13\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8991*g**2 + 8996*g**2 - 6 - 13)*(6*g**2 - 17*g**2 + g**2).\nAnswer: -50*g**4 + 190*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4\/2 - -3. Let t(w) = -3*w. Suppose 6 = 5*a + 1. Let v be t(a). Sort m, v, 3 in ascending order.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 4*p + 5. Let h be a(6). Let i = h + -3. Suppose 2*q + 4 = i. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4849 - 4847. Let h(k) be the third derivative of 0*k - 25*k**t + 1\/6*k**4 + 13\/6*k**3 + 0. What is the derivative of h(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -131\/5. Let p(h) be the third derivative of h**4\/12 + h**3\/3 - 3*h**2. Let z be p(-2). Which is the second biggest value? (a) r (b) z (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5647536 divided by -17?\nAnswer: 332208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/44 - 2059\/220. What is the common denominator of w and (-8)\/(-1)*(-1 + (-75)\/(-95))?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 863586.9 months to years.\nAnswer: 71965.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-13) + 228\/(-156))*11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25024616*c = -25024096*c - 46800 for c.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 1, l: 2, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*7\/(105\/6))\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(245)*-1 - sqrt(245)))*-6)**2.\nAnswer: 3024*sqrt(5) + 35604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243260.\nAnswer: 2, 5, 17, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.11. Let b = 0.161 + -0.221. Let f = b - i. Round f to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 3*d - 3*d)*((1 + 4 - 3)*(2 + d - 2) + d + d + d) + 3 + 2*d**2 - 3.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(1\/3)*a*a)**(-8\/9)\/((a\/(a*a\/(a\/(a*a*a*a\/((a*a\/(a\/a**(-1\/15)))\/a)*a))))\/a**(-9\/2)))**(-2\/27) assuming a is positive.\nAnswer: a**(967\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-468) + 2 + (-83)\/18?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*y - 106*y + 26 + 200*y + y + y + 2*y + (y - 6*y + 4*y)*(-1 + 1 - 1) + 3*y + 2*y - 3*y + 2*y - 2*y + 3*y to the form d + g*y and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 939\/(-6886)*4\/(-3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 44*x - 639 = 111. Solve -2*r = b + x, -5*b + 12 = -3*r + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 3*q**3 + 2*q**3 + (2 - 4 + 1)*(3*q**3 + q**3 - 5*q**3) - 3 - q**3 + 3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (127 - 27) + (-17 + 6 - 6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0 - 18*t + 3 + 8 in the form v + s*t and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 3*a. Let c(q) = 8*q - 7*q - q**2 - 3*q. Suppose -10*d = -6*d - 16. What is d*m(s) - 7*c(s)?\nAnswer: 3*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3806*p**4\/3 + 64754*p**3\/3 + 153124*p**2\/3 - 1139720*p\/3 - 5200 = 0. What is p?\nAnswer: -10, -26\/1903, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 - (18 + -11 - (-2 + 5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026*k - 380 = -1045*k. Let o be 1 + 1\/((-12)\/9). What is the third smallest value in k, o, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 9:14 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:27 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.4 - -4.4. Let a = u - -22.0000145. Round a to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q\/((q\/(q*q\/(q\/(q**(13\/4)\/q))))\/q*q*q))\/q*q))*q)*q\/q**(-1\/3))\/((q*(q\/(q\/(q**(-1\/20)\/q*q)))\/q*q*q)\/q)**(-4\/7) assuming q is positive.\nAnswer: q**(-157\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 38*p - 6*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704780000 rounded to the nearest one million?\nAnswer: 2705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830779.\nAnswer: 59, 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, m: 1, h: 5, o: 6}. What is prob of picking 2 o, 1 f, and 1 h?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3366\/(-2805)*2\/(-3). What is the fifth smallest value in g, 4, 9, 1\/6, 2\/81?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00545744 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3\/2, -458, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 21 - 21 + 71)*(3*x**3 - 3*x**5 - 3*x**3).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 13*s - 7774, -4*s - 15*o = -11*o - 2392. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -10*z - 103. Suppose 5*b - 60 = -5. Suppose -b*d + z = 1. Solve h = -d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -10*i + 2, -11*o - 5*i + 3856 = 3780 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 7173?\nAnswer: 57384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-7) + 140\/75*-2. Factor -x*m**2 + 2\/15*m**3 + 4\/15 - 2\/15*m.\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4750, -4752, -4754?\n\"Answer: -2*h - 4748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-64)\/544 + 2688\/17.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1582077*l**4*t + 2*l**3*t**3 + l*t**3 + 572*l + 526*t wrt l.\nAnswer: -18984924*l**2*t + 12*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293771 and 3351?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 640*r = 645*r - 5*b - 10 + 110, 0 = 5*r + 4*b - 71 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - (2 - 0)\/(-4). Suppose 2*t - 3*f + 158 = a, -300 = 4*t - 4*f + 6*f. Let g = 107 + t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/23852037 and 83\/342210.\nAnswer: 238520370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/169 (b) 3 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 9*a - 11. Let c(v) = 2*v**2 + 7*v - 9. Calculate 4*c(w) - 3*u(w).\nAnswer: 2*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4012 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26635374 = 4*w + 2176978. Suppose 5*l - 3*g = 31, 3*l + 3*g = 8 + 1. Suppose l*q + w = 21114599. Round q to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 16) to base 3.\nAnswer: -12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0332 and 13.\nAnswer: 0.4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + sqrt(1216))**2*-1 - (5*sqrt(1216) + 0)).\nAnswer: -1232 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.2 + -1.2. Let h be (-5 - (-4 + -4))\/(11\/(-4)). Let t = 38\/55 + h. Which is the second biggest value? (a) -1 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1440)\/(-432)*90\/12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 236 = 212. Solve 2*h - 2 = 3*o, x*o + 6 = -4*h + 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8759*i = -2012*i + 233622 + 24882 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-1\/2))**(2\/83) assuming m is positive.\nAnswer: m**(1\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21100\/9 - 2350. Let x = 323\/63 + u. Suppose 2*m - 8*m + 18 = 0. What is the second smallest value in m, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*o + 1 + (-4*o + 5*o + o)*(1 - 1 - 1) as h*o + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = -4*a + 64, -a + 2*h + 11 = 0. Suppose 23 = 5*s + 2*t, -2*t - 45 = -5*s + 2. Calculate the greatest common divisor of s and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 + -109. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 23 = -4*b, -3*j - 2*j + 32 = b. Suppose j = 4*z - 9. Solve -2*i - i = -9, -y + z*i - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 19*u**2 - 72*u - 34. What is j(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 401.6+0.156\nAnswer: 401.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.5. Let n = -0.56 + 0.66. Let r = n + -0.3. Put -0.5, d, r in increasing order.\nAnswer: -0.5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.07727\nAnswer: -0.30908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 528388884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1571, -1686, -1801, -1916?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4. Let c be -7*((-12)\/(-7) + w). Let -83*j + 79*j + 0*j**2 - c - j**2 - j**2 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 448*h - 445*h - 3*b, -5 = 2*h + 5*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 27540?\nAnswer: 302940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = r - 6, -2*f - 309*r - 18 = -307*r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, j: 4, p: 7}. What is prob of picking 1 j and 1 v?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446 + -323. Calculate the remainder when 450 is divided by 3*p\/27*3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -1\/2, 0.860353, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**5 + 30730*b**4 + 61515*b**3 - 215080*b**2 - 614740*b - 368880 = 0.\nAnswer: -2, -1, 3, 6148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) 4\/5 (c) 26\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1002041090 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 15 = 0. Suppose 517 = j*t - 448. Suppose 4*m - t = 547. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = -8. Suppose h*f - f + t - 59 = 0, 44 = 3*f - 2*t. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57837 - 57822. Let p = 7 + -3. Suppose m + 14 = p*y, 2*y + y = 2*m + 3. What is the remainder when b is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*j**3*n**3 + 7*j**3*n + 42*j**3 + 95865*j*n**4 + 57*j - 4*n wrt n?\nAnswer: -60*j**3*n + 1150380*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5996*d - 213. Calculate x(0).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 + t**4 + 5*t**2 + 7*t + 205 wrt t?\nAnswer: -100*t**3 + 12*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -6. Is (-1658)\/h + (-1)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and -7\/15922.\nAnswer: 79610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 5390787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 2*d + d**2)*(212 - 14 + 52)*(2*d + 3*d + d) to a*d + y*d**2 + k + j*d**3 and give j.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 9*z - 28. Let g be 4 + (-1)\/1 + 119\/(-7). Does 14 divide b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 471, 968, 1483, 2010, 2543, 3076?\n\"Answer: -m**3 + 15*m**2 + 459*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635 + 419 - 125 - 154 + 73*q.\nAnswer: 73*q + 775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9046*q + 9045*q + 3*g + 10 = 0, 2*g - 5 = -q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w - 6. Let y(m) = 7*m - 7. Let b be (-5)\/(3 - (2 + 0)). Give b*y(k) + 6*f(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -35*s**4\/12 + s**3\/3 - 95*s**2 + 12*s + 41. Find the first derivative of q(m) wrt m.\nAnswer: -70*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2204*i**2 + 16*i + 15. Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 12643\nAnswer: -2\/12643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120121 - 12102120121?\nAnswer: -12102000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 45*m - 2. Let i(y) = -91*y + 4. Determine -4*i(f) - 9*n(f).\nAnswer: -41*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 414048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 + 2. Let x be k(-6). Suppose -x*q = q - 213. Suppose -232 + q = -l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6869597 to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/((-4)\/(-6)) - -1)*(-75)\/50. Solve n + s*b - 6 = 0, 0*b - 9 = 4*n + b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*z = -85, f = z + 12 + 2. Let p = 28 - 17. Calculate the remainder when f is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 26*a + 166. What is d(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) + (-9)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 - 629*s - 2500. What is h(-4)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 - 2*d**2 - 6*d + 96. Let c(b) = b**2 + 7*b + 11. Let l be c(-6). Calculate o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -94, -109, -126, -145, -166?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*o*z**3 - 8*o + 660*z**3 - z**2 - 12693*z wrt z.\nAnswer: 294*o*z + 3960*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38.88 or -1050?\nAnswer: -38.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 3*o + 6*o + (2 - 4 + 4)*(-3*o + 0*o + o) + 11 - 11 - 7*o - 3 + o + 3 to the form u*o + h and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 7*c = -0*c. Put 6, -0.5, -1\/3, c in decreasing order.\nAnswer: 6, c, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 5)\/(18\/9). Let m(v) = -6*v + 1. Calculate m(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.4, 5, 612, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19.4517 and -19.\nAnswer: -38.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015565729 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fgfxxbtxnfxff. Give prob of picking 1 g, 1 t, 1 n, and 1 f.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03927 - 0.36073. Which is the closest to -12? (a) -0.2 (b) u (c) 0 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/4 - z**4 + 5*z**3\/4 - z**2\/2.\nAnswer: z**2*(z - 2)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -199, -392, -585, -778?\n\"Answer: -193*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 1203515?\nAnswer: 1203505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9059 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*t**6 + 428*t**5 - 2072*t**2 - 8*t.\nAnswer: 1440*t**3 + 25680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6554586 to three dps.\nAnswer: -3.655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022617 to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 12. Let x be (-222)\/r + 1\/1. Let w = x - -56. Which is the second biggest value? (a) w (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 26*a - 41 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/48)\/((-1242)\/(-8)). Let p = -26083\/828 + i. What is the common denominator of -24\/19 and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -5*w + 0 + 0*w**2 + 1\/3*w**3. Let v(u) = u**2. Give v(k(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -87*l + 776. Give q(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9157 is divided by 63?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1. Let b(a) be the first derivative of -a**4\/12 + a**3\/2 + a**2 + 2. Let n(r) be the second derivative of b(r). What is n(z) - 5*v(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.073*-2\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m - 3. Let h be x(3). Let t be 4\/(-14) + h\/56. What are the prime factors of t\/1*37\/1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h**2 - 2*h + 2. Let k(z) = -26*z**2 + 41*z**2 + 85*z**2 + 11 - 11*z. Let n(c) = 4*k(c) - 22*x(c). Let j(g) = 2*g. Determine n(j(p)).\nAnswer: -160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4252, -8507, -12762?\nAnswer: -17017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4 + 2*j**3 - 2*j - 1. Factor t(z).\nAnswer: -2*(z - 1)**2*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 * 0.02.\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/p**(-4))\/p))**(-2\/33)*(p**1)**(47\/4))**28 assuming p is positive.\nAnswer: p**(3675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46729362 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 15, -4*v - 2*k + 3*k = 27 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b\/b**(-2\/13))**(-20) assuming b is positive.\nAnswer: b**(2040\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-147)*-7*12\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**3\/3 - z**2\/2 - z. Let x(i) = 3*i + 1. Suppose -w - 29 + 36 = h, -7*h + 4 = -2*w. Give w*u(o) + 3*x(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1102 and 7\/5092.\nAnswer: 147668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(192))*-1.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 158 + -158.42. Let h = -0.419844 - o. What is h rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*d = -47, 0 = -5*y - d - 3 + 53. Suppose 47 + 25 = -y*n. Let p(k) = -k - 7. What is p(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2 - 84*h - 5 + 46*h + 26*h. Let i(y) = -11*y - 6. Give 4*i(w) - 3*k(w).\nAnswer: -8*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 - 0?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22460736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.5 + -21. Let u = -0.4 + y. Let x = 3.4 + 0.6. Which is the nearest to 0? (a) u (b) x (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**8\/7 - 3*c**4\/2 + 8*c. Find the third derivative of p(h) wrt h.\nAnswer: -960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579680, -1159800, -1739920?\nAnswer: -2320040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749015*h - 874502*h - 874501*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - (2 + -2))) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3649 + 7301. Let r = h - 1708. What is the highest common divisor of 108 and r?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 - 9*f**4 + 67*f**3 - 63*f**2 + 10*f = 0.\nAnswer: -5, 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*g - 50404, 13 - 29 = -4*g. Calculate the remainder when t is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z - 25. Let o(i) = -19*i - 76. Calculate -6*o(f) + 19*u(f).\nAnswer: 19*f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1, v: 1, a: 7, r: 1}. What is prob of picking 1 d and 1 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 338*x**2 - 316005*x + 2269. Give l(-756).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166166 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36625843*g**3*k**2 + 2*g**3 - 21*g*k - 3403 wrt k?\nAnswer: 73251686*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.409, 4, -17\/6, -1\/11.\nAnswer: -17\/6, -1\/11, 0.409, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8))**(-6)*(z**(1\/8)\/z)**(-13\/2) assuming z is positive.\nAnswer: z**(859\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 11. Let z be d(-10). Let w be 1\/(z - 5\/(-4)). Suppose -2*m + 2 = -m - 5*t, 2*m = -5*t + w. Is 2 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-60))\/(4\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y - 3. Let o(g) = -g - 1. Let r(h) = k(h) - 2*o(h). Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 122 - (1 - (-1 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -219260?\nAnswer: 43852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 4. Let j be d(2). Suppose 13 = 4*i - j*k - 5, 5*i - 5*k = 20. Let m(q) = 3 + 0 + 1 - q. Give m(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**2 - 15*r**2 + 5*r**3 + 34*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {t: 2, r: 4, c: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7145416\/5 equal to -1429082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2246\/(-3369))\/(17\/3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n = 5*s - 40, 2*s + n - 15 = 0. Let r be (-116 + 119)*(-12)\/15*15\/18. Sort -5, 2, s, r.\nAnswer: -5, r, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49138?\nAnswer: 2, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Suppose 8 = o*p - 4. Suppose -4*h - p = -54. Calculate the remainder when 22 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 11*f**2 - 4*f**2)*(-2*f + 2*f - f) + (-2*f + 5*f - 2*f)*(-18*f**2 + 16*f**2 + 61*f**2).\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -244. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Let w be b(-2). What is the highest common factor of w and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -18346?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -30*x**2 + 5*x + 7. Let k be o(-2). Let u = 187 + k. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12270135?\nAnswer: 3, 5, 251, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -115*s - 1411. Let m be q(-13). Suppose v + 30 = 2*n - 15, n - 9 = -4*v. Calculate the highest common divisor of m and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1068420 or -1068421?\nAnswer: -1068420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258, 2216, 7566, 18006, 35234, 60948?\n\"Answer: 283*d**3 - 2*d**2 - 17*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from qqwq.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15016, -15018, -15020?\nAnswer: -15022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + 2*y)*(-175*y - 774*y - 136*y).\nAnswer: -2170*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -42. Let d be (z + 1)*(-14)\/(-4). Let s = 97 + d. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(4\/12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72422510 or -72422512?\nAnswer: -72422512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 >= 7692\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12303.7*7\nAnswer: 86125.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159.419 + -0.581. Let k = 159.9535 + l. What is k rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-26)*i)*i**(-9)*(i*i**(-34))**11)**(-1\/38) assuming i is positive.\nAnswer: i**(347\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1074.3.\nAnswer: 5371.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 581005\/3 - 193667. What is l in 17\/3*l**4 + 0*l + 16\/3*l**3 + 5\/3*l**5 + 0 + s*l**2 = 0?\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 12 + 8. Let q(o) = 2*o**2 + 3*o + 1. Determine q(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.006 - 0.006. Let t = -62.3 - -67. Let r = t - x. Which is the closest to 1\/4? (a) 1 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 127 = 2*k, 4*k + 287 = -c. Let q = k - -114. Calculate the remainder when q is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*f, 0*f - 5*y - 35 = -5*f. Suppose 6 = 3*p - f*j, 3*p - 4*j + 1 = 7. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/29 - (-3456)\/(-4698).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.603 + -4.331. Let g = -0.636 + u. Let t = g - -7.5. Put t, 1, 0.2, 2\/17 in increasing order.\nAnswer: t, 2\/17, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5738 - -45901\/8. Let c = 14 + -9. Let v = c - 4. Sort 4\/5, v, y in ascending order.\nAnswer: y, 4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/12 - 4*u**3\/3 - 55*u**2\/2 + u. Let l be q(8). Calculate the common denominator of (-3)\/l*(395\/10 + 3) and 79\/38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5018715 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455*v = -445*v - 2070. Let c = v - 189. Solve c*j = 19*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 92803131.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 7. Let b = 22 + -19. Let u be o(b). What are the prime factors of (-3 - u)\/(1\/(-59))?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*(4*sqrt(10)\/sqrt(2) - (-1 + -1 + sqrt(5))) - (sqrt(330)\/(sqrt(33)\/sqrt(3)))\/(1*sqrt(864))))**2.\nAnswer: 146*sqrt(5)\/3 + 28949\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 40 = -26. Suppose -307 = -a*t - 277. Solve -2*l = -t*x - 26, l = -2*x + 4 - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*14.63592\nAnswer: 380.53392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (84\/(-63))\/(-4) - 596\/6. Is -488\/5 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(11 - 2*v**2 - 3*v**2 + 4*v**2) to the form l*v + r*v**2 + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163\/303 - -13\/101. What is the fourth smallest value in -1\/98, h, -0.1, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104600991 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 6*m**2 - 32*m - 66. Give c(-5).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 80689.36 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*g + 24, -5*n - g + 18 = 3*g. Suppose -8*f + 51 = -5*f. Let b = f - n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, v: 4, c: 1, x: 2}. What is prob of sequence yvvx?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34252.\nAnswer: 2, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/11 in -0.1, 4\/9, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.7941 or -0.055?\nAnswer: -3.7941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 3*k + 4, -9*z - 147*k + 142*k + 30 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - (1510\/22)\/5. Which is the second smallest value? (a) 1\/20 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 - 7*f**2 + 5*f + 7. Determine g(5).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0201*-0.2177.\nAnswer: 0.00437577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/641088 and -149\/320544.\nAnswer: 641088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13753.\nAnswer: 17, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -457172 * 4\nAnswer: -1828688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 129 = 124. Let v = k + -190. Let t = v + 7533\/17. Put t, 3, -5 in ascending order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**2 + 3\/2*d**3 + 0 - 1\/60*d**5 + 1\/4*d**4 + 0*d. What are the prime factors of a(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*z - 40*z + 144. Let i be z\/(-3) - -4 - 4. Let c(n) = -4*n - 1 + 2*n - n**3 + 0 - 7 - 6*n**2. Determine c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(10\/11)*l**(9\/5))\/(((l\/(l\/(l**(-1\/31)*l)))\/l)\/(l\/(((l*l**11)\/l)\/l))) assuming l is positive.\nAnswer: l**(-10671\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396)*6 + sqrt(396))**2.\nAnswer: 47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 + 85. Put 1, 5, m in increasing order.\nAnswer: m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799, -1596, -2393, -3190, -3987?\nAnswer: -4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 3.2. Let d = 1.9 - -0.1. Let h = 3 + 0. What is the closest to 0.1 in f, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8396, 33519, 75344, 133865, 209076, 300971, 409544?\n\"Answer: -q**3 + 8357*q**2 + 59*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5326 is divided by 53.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -185*p - 46. Is f(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11621365 to the power of 1\/2, to the nearest integer?\nAnswer: 3409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1965, -66, 0.01, -2, -2\/13 in descending order.\nAnswer: 0.01, -2\/13, -0.1965, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15589, -62329, -140235, -249313, -389569, -561009?\nAnswer: -763639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*m + 6*w = -398, 159*m - 152*m - w = 535 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d + 73. Let n(y) = y**2 + 39*y + 296. Let s(a) = -9*i(a) + 2*n(a). Calculate s(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {d: 3, c: 1, y: 4, f: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2181, 3956, 5721, 7476, 9221, 10956?\nAnswer: 12681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/4 + (1 - -2). Let z be 8*2\/40 - (-1)\/(5\/8). Solve z*w - 4 = k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 698*c**3 + 33 - 744*c**3.\nAnswer: -46*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 - 281*d**4\/24 - 47*d**3 - 126*d**2 + 2. Factor x(n).\nAnswer: (n - 282)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 4*l - 196088, 13*s = 2*l + 9*s - 98046. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 26472?\nAnswer: -26466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -3\/2 (c) 0.7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 968 - 2906\/3. What is the fourth biggest value in -3\/8, p, 0.3, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (9 + 9) - (-5 + -16).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753277 - 479030 = -3*u + 4*n, 3*n - 1643126 = -4*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Let u be 14\/(-42) + 4\/p. Let l = 2 + u. Calculate the least common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2 - 1 + 2 + y**2 - 2 - 5*y. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30219 + 30247. Solve -3*v = -a*m + 31*m - 9, m + 2*v = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -84\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-350)\/700 + (-27)\/(-30). Determine o, given that 80\/3 - 116\/15*o**2 - 104\/3*o - h*o**3 = 0.\nAnswer: -10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0120175 rounded to 4 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6 and -173\/390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) -2\/5 (b) -3\/4 (c) 34 (d) 1\/6 (e) 19 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.41 and 1.\nAnswer: 33.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 25608423.\nAnswer: 16\/25608423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101101000100 (base 2) in base 8?\nAnswer: 55504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b, -2*z - 3*b = 2*b - 16. Let s be (-3 - z*-101) + 0. Suppose -2*p + 15 + 277 = -3*i, i - s = -2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:58 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*z**5 - 420*z**4 + 363*z**3 + 1410*z**2 - 2604*z + 1176 = 0. Calculate z.\nAnswer: -2, 1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 19. Let g(m) = 9*m + 5. Let k be g(-3). Let n be t(k). Let h(j) = 5*j**3 + 2*j**2 - 6*j. List the prime factors of h(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 10*z. Let m be k(1). Suppose -5*p = -5*a + 50, a + 6 - 16 = -2*p. What is the least common multiple of 6\/(-30) + 222\/m and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 4.7. Let n(s) = -15*s**2 - s - 2. Let z be n(-1). Let o = 0.68 + -0.78. Which is the closest to o? (a) y (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((288\/27)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1665 divide 49458825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 0*k**2 - 3*k**2 + (-3*k + 0*k + 2*k)*(k - 2 + 2) - 1 + 1 - k**2 + (k + k - 3*k)*(6 - 6 + 5*k) + 4 + 2*k**2 - 4.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334030234 (base 5) to base 9.\nAnswer: 2681364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttwttiti. Give prob of picking 1 t, 1 i, and 2 w.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 34. Let h be d(-16). Which is smaller: h or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -11 + -10 + -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4473035 (base 9) to base 4.\nAnswer: 21030121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 4*m + 4. Let t be z(4). Suppose 0 = -0*u + t*u - 12. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**5 + d**5 - 3*d**5)*(-1 - 4 + 4) + 0*d**5 + 0*d**5 + 5*d**5 - 2*d**5 + 3*d**3 - 3*d**3.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhhhhhghhhghhhgh. What is prob of picking 1 g and 1 h?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 92?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25307, 25320, 25333, 25346, 25359?\nAnswer: 25372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 0.2 (b) -2\/3 (c) 1 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 2\/23 in descending order.\nAnswer: 2\/23, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -325132 (base 6) in base 10?\nAnswer: -27056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b + 7*b = 0. Solve -2\/5*l**3 + 0*l**2 + 0*l**4 + b + 1\/5*l + 1\/5*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 2 - (4 + -42)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 + 0 = 0. Let c = j - -3. Let y(p) = -c*p + 2 - 2. Let h(n) = n. Determine y(h(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2533*q**2*z - 3135*q**2 + 2*q + 11*z + 4 wrt z?\nAnswer: -2533*q**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1205*n**2 + n**3 + 3*n - 2 - 1205*n**2. Suppose 17 = 3*u + 4*i, 0*i = -4*u - 4*i + 20. What is the remainder when x(u) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230769829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:21 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -94480*m + 74183 wrt m?\nAnswer: -94480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 21*w + 35. Let a be v(-6). Let l = a + 217. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 52) + -73 + 41.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2 - 4*v - 2. Let y be r(-2). Solve 9 = -y*t - 5*z, 4*z + 4 = 4*t - 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27da (base 16) in base 12?\nAnswer: 5aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7302102?\nAnswer: 2, 3, 1217017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 1387, 2079, 2771?\nAnswer: 3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -63, -68, -75?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400339.\nAnswer: 400339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5 - 12*v**2 + 12*v - 2 + 1 + v**3. Let g be i(11). Let w = g + -9. Is -11\/4 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 34. Let f be v(-16). Let o = 98 + f. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -104*v**5 + 452*v**4 + 1444*v**3 - 9808*v**2 + 15760*v - 7744 = 0.\nAnswer: -121\/26, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o\/(o*o\/o**0))\/o))\/o)*(o*o\/(o*o\/((o*o*o*o\/o**1)\/o)*o))\/o)**19*(o**2)**3\/((o**(2\/7)*o)\/o)**(-22) assuming o is positive.\nAnswer: o**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5841375 divided by -13875?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*c + 36, 19 - 5 = 3*f - c. Let b be 3 - ((-120)\/(-20))\/(2 - 0). Solve -f*l + l - 5 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f**4 + 500*f**3 - 475*f**3 + 15*f**2 - 8*f**4 - 5*f - 5 = 0. Calculate f.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/3 - 3224666*w\/3 = 0.\nAnswer: 0, 3224666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6840 and 576?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 26*x + 49. Let u(y) = y**2 + 27*y + 50. Let v(i) = 4*m(i) - 3*u(i). Suppose -31*r - 617 - 34 = 0. Let o be v(r). Solve 4*c = -0*c - o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2\/7 (c) -199538 (d) -1\/3 (e) -5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.2 times 0.09?\nAnswer: 3.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 23*w**2 + 754*w - 88. Give v(-33).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-3)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 30 = 4*i, -b - i = -2*b - 3. What is the greatest common divisor of b and 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/118 + (-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 51 - 94 + 47 + x. Calculate c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g + 6 = 0. Let y(w) = 9*w + 13. Let s(c) = -4*c - 6. Let v(t) = g*y(t) + 5*s(t). Let b be v(-4). Solve b*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)*g**1*(g**(-1))**(-16\/7))**29 assuming g is positive.\nAnswer: g**(11745\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) 2 (c) 14 (d) -1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 34 + 48)*(-6*g**5 + g**5 + 3*g**5).\nAnswer: -120*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**2 - 6*s + 59. Determine y(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 - 3.81. Which is the nearest to -2\/5? (a) -0.06 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 + 160798*d**3 + 32580382*d**2 + 1668578378*d + 1636158792 = 0. What is d?\nAnswer: -80196, -101, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -271 and 5.\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.763935 micrometers in millimeters?\nAnswer: 0.003763935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:14 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004440212 - -24?\nAnswer: -1004440133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, w: 8}. What is prob of sequence ttwt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*y, 2*j = 3*j - 2*y - 4. Let f be 1*j\/(3 - -1). What are the prime factors of 5 - (2 - f)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.2 + 33.8. Let i = 0.02 - -0.28. Sort 3\/5, i, m in increasing order.\nAnswer: m, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23399 is divided by 312?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/(-9) - -3) + 1. Let z(o) be the first derivative of -2\/5*o**5 - 1 - a*o**3 + 1\/3*o**2 + 0*o + 7\/6*o**4. Factor z(i).\nAnswer: -2*i*(i - 1)**2*(3*i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 1, l: 1, q: 2}. What is prob of sequence ylq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -161, -799, 88 in ascending order.\nAnswer: -799, -161, -3, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353427690 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453\/90871 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9425824 and 838.\nAnswer: 9425824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7262430 divided by 10.\nAnswer: -726243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*(-13)\/845*-13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*k - 200*k - 4137 + 5244 + 29707 for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -391 + 394. Find the second derivative of -179*x**3 - 159*x**l + 83*x + 292*x**3 wrt x.\nAnswer: -276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -22, -24, -26, -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 1087029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152.95 + 158. Let y = -0.024 + -0.026. Let t = y + b. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 16*s = 0. Suppose 3*k - 5*a - 56 = s, -40 = -2*k + 2*a + 2*a. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-325)\/168 - 116\/928 and 103\/1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffqf when four letters picked without replacement from {q: 3, f: 15}?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-3)\/(2\/(-2)). Suppose 2*m - 28 = -l*z + m, -5*m = 10. Solve -3*p + 11 = t, 2*p - z = -5*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - 4*p + 1 - p - 1 + (5*p - p - 2*p)*(3 + 3 - 7))*(-36 - 32 + 7*p + 82).\nAnswer: -35*p**2 - 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.33 + 0.23. Let g = -0.5 - u. Let h = -1.4 - g. Put 2\/7, -4, h in decreasing order.\nAnswer: 2\/7, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -0.08, 3132 in ascending order.\nAnswer: -2, -0.5, -0.08, 3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27449*s**3 + s**2 + 54028*s**3 - 27656*s**3 + 2.\nAnswer: -1077*s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 34 = -47. What is the smallest common multiple of 15 and o?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 7. Calculate the remainder when h\/2 - (-47)\/2 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h + 10035375097 - 10035375097.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-46 - (10 - 20)) + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (702\/54)\/(1\/1). Put -1, v, 2, -4 in decreasing order.\nAnswer: v, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 11. Let p(n) = n**3 - 15*n**2 + 14*n - 4. Let q be p(x). Let g be (5 + q)\/(4\/12). Sort g, 1, -2 in decreasing order.\nAnswer: g, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/563 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f. Let z(i) = 6*i**2 + 36*i + 36. Let n(g) = g**2 + 5*g + 5. Let k(d) = -36*n(d) + 5*z(d). Calculate k(m(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4224 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.3, -0.2, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*s + s + 5, 2 = -n - 4*s. Suppose 9 = n*f + 3. Suppose 25 = 3*x + 3*y - 14, f*y + 13 = x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 45?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 0*i + 0*i - i. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782335 is divided by 15121?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(119)*1*-2)\/(sqrt(21)\/(sqrt(3) - (2*sqrt(75) + sqrt(75)))))**2.\nAnswer: 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4721*k - 57367. Calculate g(-12).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27791082 by 2526462.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 1 j when three letters picked without replacement from cjcccccscrjr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 62. Suppose 4*t - k - n = -t, 5*t - 177 = 2*k. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 12:29 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**3 + 64*o**2 + 19*o - 71. Let q be x(-21). Which is greater: q or 31\/5?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*l + 0*l + 2 = 0, -d + 5*l = 15. Let r be (-5)\/(d*2\/10). Let s = 0.07 + 3.93. What is the closest to -1\/9 in r, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 - -22?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-3 + -1 - 4*2*sqrt(13).\nAnswer: -11*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 2:05 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -q - 2, 8 = -2*q - 3*p. Let s be 0\/(-2)*q\/4. Suppose 4260 = -s*x + 3*x. Round x to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/10 + y**4 - 11*y**3\/3 + 6*y**2 - 53*y + 1. What is j in p(j) = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384890 is divided by 1693?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6544 is divided by 573.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 3\/7, -2, -0.5, 8, -11 in increasing order.\nAnswer: -11, -2, -0.5, 3\/7, 4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 + 0*p**2)*(22 - 2*p - 22) - p**3 + 4*p**3 - 2*p**3 + 4 + p**3 - 4 + (1 + 2 + 1)*(-3*p**3 + 14*p - 14*p) - p**3 + 24 - 24.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 3*z**2 + z + 1. Let w be d(-2). Let r be w - (-3 + 3 - 1). Which is the second smallest value? (a) 3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 15558*w - 8*w**4 - 7777*w - 7786*w + 3 as v*w + p*w**3 + q*w**2 + m + h*w**4 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 1630, 4, -80 in descending order.\nAnswer: 1630, 4, -80, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 76*t**4\/13 - 12390*t**3\/13 + 326*t**2\/13 = 0?\nAnswer: 0, 1\/38, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/852 and 87\/6248.\nAnswer: 18744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-8)\/(-18))\/((-4716)\/(-54)))\/(-3 - 0). Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 22. Let z = -63 - -58. Let j be v(z). Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 174*v**2 - 6*v - 8. Suppose 9*t + 11 = -7. Let n be q(t). Factor n*k**2 - 2 + 160*k + 49*k - 44*k - 8.\nAnswer: 5*(7*k + 2)*(20*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**2 + 4*h**3 - 29*h**2 - 2266*h + 0*h**3.\nAnswer: 4*h**3 - 2266*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**44\/((b*b*b*b**(-3\/7)*b*b)\/(b**(-5\/6)*b)))\/((b**(-2\/5))**(7\/6))**(-46) assuming b is positive.\nAnswer: b**(-1811\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 186440751 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 5*a**2 - 5. Let c be q(-5). Put 4\/7, 1, c in increasing order.\nAnswer: c, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2108 and 3425908?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 - 46*t**2 + 18*t + 57. Calculate g(15).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2953 + 4553. Let v = k + -3277\/2. Find the common denominator of (-16)\/72 + (-89)\/(-9) and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, 4, 149, 35838, 2 in decreasing order.\nAnswer: 35838, 149, 4, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -98, -134, -150, -140, -98?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 6*k + 5*f + 184 = 0, -k = -5*f - 31. What is the remainder when k is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 6*z + 1. Suppose 2*l + 91 + 51 = 4*x, 3*l + 178 = 5*x. Let o = -33 + x. Suppose 2*k = 6*k + 12, 3*v + o*k = -18. Give w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 1, -23?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*4 - (sqrt(1100) - sqrt(1100)*-2)) + ((sqrt(176)*-2)\/sqrt(4))**2.\nAnswer: -22*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (6 - -16) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1445*c**3*t - 14630*c**3 + 12*c*t**3 wrt t?\nAnswer: 1445*c**3 + 36*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 130.3 and -5?\nAnswer: -651.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 186 - 63. Calculate the remainder when d is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855186648.\nAnswer: 2, 7, 4732619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 4, h: 1, e: 1, n: 1}. Give prob of sequence ejn.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d6a (base 16) in base 6?\nAnswer: -404350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:08 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000592458 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -w + 4*n, 0 = -18805*w + 18810*w + 3*n - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53142*j - 20 = d + 53138*j, 4*d - 5*j = -36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 16.7. Which is the third biggest value? (a) 2 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162722545.\nAnswer: 5, 853, 38153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23012 (base 8) in base 12?\nAnswer: -5776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let a(t) be the first derivative of t**2\/2 - t - 1. What are the prime factors of a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 43 = -3*z, 48 = z + 7660*p - 7657*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 0*f**2 + 0*f**2)*(f + 0*f + 0*f) - f**3 + 0*f**3 - f**3 - 40595*f**3 - 759089 + 759089 to l*f**2 + d*f**3 + u + g*f and give d.\nAnswer: -40598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t - 6. Let j be p(0). Let o(s) = -6*s + 3. Let v be o(j). Calculate the greatest common factor of 78 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, -672, -3161, -8240, -16773?\n\"Answer: -144*s**3 + s**2 + 242*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and 1076.72.\nAnswer: 105518.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 2*a + 1. Let j be r(4). Let h(u) = u**2 - 7*u + 4. What is the least common multiple of h(j) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 75 + 75. Let l(c) = 6*c + 1. What is 2*l(q) + 11*t(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpcjpjrrrrcjrrrr. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayaa when four letters picked without replacement from aaaaayaaaaayaaaaaa?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.5 (b) -0.2 (c) 1.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -46056 (base 10) to base 15\nAnswer: -d9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjogccgoccgjcodx. Give prob of picking 2 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 5*s + 3*s**4 - 4*s**4 + s**2 - 4*s**2 - 2*s**3 in the form y*s + v + m*s**2 + j*s**4 + z*s**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519 + 112. Let w = m + 822. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*a**2 - 1\/2*a**3 - 1\/6*a**4 + 1\/6*a**5 + 1\/3*a + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 2561, 3840, 5119?\nAnswer: 6398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 200?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -31 (c) 3\/5 (d) 2 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 6.382231723?\nAnswer: -5.382231723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 12 = 0, 644*x - 641*x + 21 = -f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2.69. Let v = -0.01 + q. What is the second biggest value in 2\/5, 4, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1467 and -29\/15.\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n**2 - 2 + 2*n - n**2)*(-27 - 23 + 75 - n).\nAnswer: 2*n**3 - 53*n**2 + 77*n - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-63) - 1\/21) + (-9020)\/660. Sort 5, -1, z, 20, 3.\nAnswer: z, -1, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 349\/(-42) + 4\/6 and 10255\/(-490) + 2\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 9. Let s be k(5). Which is the closest to -0.1? (a) s (b) 0.4 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.7789 centuries in millennia?\nAnswer: 48.47789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkgk. What is prob of sequence ggk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2549, -5088, -7627?\n\"Answer: -2539*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*f - 3070*f = 89960 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4325 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393048 divided by 1131016?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*r = 173*r. Sort r, 1, 4, -15.\nAnswer: -15, r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593, -706, -815, -920?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 8. Let h(z) = 2*z**3 + 6. Calculate -4*h(u) + 3*r(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 4*h**2 + 5*h. Determine r(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3633362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvkkkukvuvkkkeekkek. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303843 - -57228. Let p = k - -1965735\/8. Let b = p + 897. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2 + 2 + 4*b**2. Let d(f) = -f**2. Let h(x) = x**3 + 61*x**2 + 133*x + 890. Let w be h(-59). Give w*d(z) + l(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 1:17 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 2\/11, -16, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50560, 202535, 455842, 810493, 1266500, 1823875, 2482630, 3242777?\n\"Answer: 2*f**3 + 50654*f**2 - f - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-32)\/y)\/y))**6*y**(-11)\/y**(-35) assuming y is positive.\nAnswer: y**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a week in hours?\nAnswer: 1806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*q = 169*q - 10. Let c(y) = -3 + 0 - y - 2*y. Let n(z) = -1. Let h(u) = c(u) - 6*n(u). Let v(g) = 4*g - 4. Give q*v(w) + 3*h(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15395 + 8792. Let p = -3540 - q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - -0.26. Let y = 15.4 - 15.6. Put y, z, 1 in increasing order.\nAnswer: y, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 20. Suppose -3*r - q = -9. Let k be (2\/(-4) - 0)\/2. Which is the biggest value? (a) k (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 8. Let u = 50\/11 - 1667\/374. Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2\/5 (b) -0.4 (c) -5\/6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 782146 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 69. Solve -20 = -5*n - 5*w, 3*w = c*n + 11 + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 6*f)*(-2 + 2 - 3)*(13*f**2 - 14*f**2 + 2 - 3).\nAnswer: 18*f**3 + 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*h + 131, 365 = -2*d + 5*d - 5*h. What is the greatest common factor of 115 and d?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(6 - 1430\/247).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13034833 to the nearest integer?\nAnswer: 3610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {z: 5, a: 10, d: 1, o: 1, p: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -77\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g + 4*g - 5*g + (-3*g + 3*g + 7*g)*(-3 + 2 + 4).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:01 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 165.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -6279\/155 and -40 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7195 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/84 and 151\/7932.\nAnswer: 55524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 6*j - 2*j**2 - j**2 - 2*j**2.\nAnswer: -5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -397 + 393. Let m be (-12)\/9 + 52\/48. Suppose -q + 0*q = 1, -w - 2 = -q. Sort z, m, w in decreasing order.\nAnswer: m, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4006.626 milligrams?\nAnswer: 4006626000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.047? (a) -2\/5 (b) 5\/2 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -456*y**3 + 28*y**2 + y - 558. Let v be a(-26). What is v rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, v: 2}. Give prob of picking 4 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3957, 3967, 3991, 4035, 4105, 4207, 4347?\n\"Answer: z**3 + z**2 + 3955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-18)*(-1)\/(-1)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 4*(sqrt(147) - (-2 + sqrt(147))) + (-2 + sqrt(147))*3)*-3)**2.\nAnswer: 378*sqrt(3) + 11916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87780 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 4) to base 7.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/2))\/i**(4\/13)*(((i\/((i*i*i**3)\/i))\/i)\/i)**(-46) assuming i is positive.\nAnswer: i**(6037\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 32*u**2 + u + 21. Let d be f(-16). Suppose -2*n + 13 = 2*i - 1, -3*i = -d*n + 11. Solve -6 = -3*r, b - n*r + 0 = -8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123166.281 rounded to the nearest ten?\nAnswer: 123170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/21 - (-432060)\/(-7980)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6687 and -95\/13374.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*((sqrt(204) + (1*2*sqrt(204) + sqrt(204) - sqrt(204)))*-3)\/(sqrt(972)*-2 - sqrt(12) - (sqrt(24)\/sqrt(2)*2 - sqrt(12)))*5.\nAnswer: -27*sqrt(17)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/120 - 570\/(-8). Let v = 342 - m. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v + 3. Let n be (0 + (-9)\/(-6))*2. Let t be l(n). Let o be 2 - (-3 + (0 - t)). Put -2, o, 1 in decreasing order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28647*p + 28895 wrt p?\nAnswer: 28647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - -557?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 30. Let c(o) = o**3 - o**2 - o. Let n(x) = -5*x**3 + 6*x**2 + 7*x. Let r(a) = l*c(a) - n(a). What is the second derivative of r(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67.17 - 1.17. Let y = 41 - x. Let k = y + 25. Which is the nearest to k? (a) 1 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -2)*380\/(-665). Factor 2\/7*a**3 - o*a**2 + 0 + 8\/7*a.\nAnswer: 2*a*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -281 in -1\/17, 18, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 12*j + 24. Let w be p(10). Suppose w = d + 11. Calculate the lowest common multiple of 69 and d.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14724969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1912.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*v = 1, 9*k - 4*k = -v + 11. Let s be k\/(1\/(-1)) + 9. Solve 0 = -5*o - s - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1845*h*i*r - h*i - 2*h*q*r + 3*h*q - i*q*r - 25*i*q - i*r - 2*i + 51*q wrt r.\nAnswer: 1845*h*i - 2*h*q - i*q - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r + 348. Let p be u(23). Let g = 270 + -178. Let z be (-5)\/p - g\/(-69). Which is the smallest value? (a) -2\/17 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -49. Suppose g*m - 33*m = 8. Solve -4*i + m = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*k + 409 = -415 + 811, 0 = -3*y - 4*k - 22 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 8. Determine t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 3*j = 5*y, 2*y - 9 = -3*j. Let n(u) = u**3 - 10*u**2 + 4*u + 5. Let x be n(10). Calculate the greatest common divisor of x and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u**2 - 84*u + 80. Let m(t) = -2*t**2 - t. Let b(c) = -l(c) + 6*m(c). Determine y so that b(y) = 0.\nAnswer: -40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(98) - (-1 + 0 + sqrt(98) + sqrt(98))) + -2 + sqrt(98) + 0 + 4)**2.\nAnswer: -9636 + 784*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 834.131nm?\nAnswer: 0.0000834131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4774*d**2 - 5*d - 4. Let l be j(2). Round l to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13) + sqrt(78)\/(-2*sqrt(6) + sqrt(6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w + 5*w**2)*(-161350 + 161350 + 329*w**2).\nAnswer: 1645*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*s - 4*s + 8, 2*s - 4 = 0. What is the remainder when 173 is divided by (8\/10)\/(((-21)\/(-140))\/o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/21 and -149\/325152?\nAnswer: 2276064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -1190885651.\nAnswer: -1190885650.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - (14 - (1 + 9) - 40)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -15. Let u = m + 9. Solve -2 = u*i - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32498, 262151, 885464, 2099267, 4100390, 7085663, 11251916, 16795979?\n\"Answer: 32805*o**3 + 18*o - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 168265?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -1176, -2646, -4694, -7314?\nAnswer: -10500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1791.5983 less than 3.7?\nAnswer: 1795.2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012472251 to five dps.\nAnswer: 0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.843.\nAnswer: -0.0843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 329043 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 97 = -3. What is the remainder when 721 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 5*w + 1875, -c = 2*w - 375. Let l be (0 + -2)\/(1\/(-2)). Find the second derivative of -375*n**2 + c*n**2 - 13*n**l - n wrt n.\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 68.6. What is the nearest to -0.2 in 1, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1521\/143)\/13)\/(10626\/(-11132)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let t = 26 + -13. Let f = -9 + t. What is the closest to m in 2\/11, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 31*p - 58140. What is the greatest common divisor of 76 and p?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-145))\/(63\/30)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299646682.\nAnswer: 2, 19, 31, 254369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 208*w**2 - 215*w - 925. Calculate d(-103).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/26 - 6\/(-39). Let j be (-3)\/(-12) - (-3)\/4. Suppose 3*f = -0*f + 6. Solve m + j = -f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*k = 3, 0 = -5*x + 3*k + 2*k. Let p be (x - (2 + 0))*6. Calculate the highest common factor of 66 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**2 + 2*q - 1\/3*q**3 + 0. Let s(w) = -2*w**2 - 203 + 203. Determine s(z(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 18. Suppose -24 + 48 = v*j. Solve -4*h + j = 0, h - 3 = -2*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922625 = 60*o - 2786755. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10380194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*3\/2. Let o = 11\/9 + 19\/36. Let m = -53\/28 + o. What is the third biggest value in n, m, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*c**5*h - 7*c**5 - 569*c*h - 5*c + 2*h wrt c.\nAnswer: 3060*c**3*h - 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 1. Let i be h(1). Let r be 0*(i - 2\/(-6)). Factor -3\/2*p**3 + 0*p + r - 1\/2*p**5 + 1\/2*p**2 + 3\/2*p**4.\nAnswer: -p**2*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*s + 5 = -y, 244*y + 25 = 239*y - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:49 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*r - 10 + 20, -r - 3 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 32. Determine a(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6154035 divided by 24715.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 14)\/(-2) - 1. Suppose 4*b + a + 25 = 0. List the prime factors of ((-6)\/b)\/(1\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 - 595740400*v**2 = 0?\nAnswer: -119148080, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**4\/6 - 95*y**3\/6 - 3*y**2 - 5*y - 191. What is x(14)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 106076*j**2. Let o(v) = -9*v. Determine n(o(c)).\nAnswer: 8592156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599 - 167 - 143 - 4*i + 14*i + 9*i - 150.\nAnswer: 19*i + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*k = -20, -5*k + 25 = 3*y + 2*y. Solve y*w + 3*w = -6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094908 to four decimal places.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 728321563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/170622 and 115\/227496?\nAnswer: 682488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 72, 93, 116?\n\"Answer: i**2 + 16*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 56 = -2*b. Let l be (-2)\/(-1)*77\/b. Let y(k) = -k**2 - 13*k + 1. Is y(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5470272 and 351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14310 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 370144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 - 7*k**3\/3 - 4*k**2 - 12. Determine q(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 3259108.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 104*c + 231355. Calculate d(-432).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {q: 3, p: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*-11*(-2)\/77*2\/36.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7432507ml in litres?\nAnswer: 0.0007432507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 68*l + 74. Let q be m(-35). Let s(z) be the first derivative of -11*z**2\/2 + 9*z + 13. Let a(k) = -5*k + 4. Calculate q*s(b) - 9*a(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123355 times -0.047?\nAnswer: -5797.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 7. Solve -m*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 8978*f**3 - 7166*f**3 + 0*f**2 - 48870*f**3.\nAnswer: -65014*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {s: 2, y: 3, h: 1, t: 5, g: 3, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 552*g - 24477 + 72501 for g.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -147.6. Which is the closest to -1? (a) p (b) 3 (c) 14\/9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i + 155. Calculate b(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3d8 (base 16) to base 7\nAnswer: -2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -99252\/5467?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.1 (c) -3899 (d) -3 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -17, -29, -43, -59?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3280 and 82480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -11\/3*f**3 + 3*f**2 + 0 + 14*f. What is the tens digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 810*f**4 - 18*f**3 + 43*f**2 - 3*f + 21894964 wrt f?\nAnswer: 3240*f**3 - 54*f**2 + 86*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603276 + 1209518 - 606242 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -49c?\nAnswer: 49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 278824 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.24 - 0.06. Sort -0.5, 4\/3, c in decreasing order.\nAnswer: 4\/3, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -477*b - 17. Let u be d(-1). Suppose -381 = -5*i - 2*q + 86, 5*i - 5*q = u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-7)*(-141)\/329*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.10396 - -0.00396. Let t be (-3)\/(-12) - 14\/(-8). Suppose -3*u + 2*u = t. What is the nearest to x in u, -0.35, 0.5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.66017 - -0.6601669317. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465\/156 - (-915)\/(-244)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81\/126*14\/12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l. Let t(g) = 3*g. What is 3*d(p) + 24*t(p)?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.931 rounded to 1 decimal place?\nAnswer: 128.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2806882.36 and 13537?\nAnswer: 2793345.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {d: 4, p: 7, u: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19780, -19779, -19778, -19777, -19776, -19775?\n\"Answer: j - 19781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -23*x**2 + 7*x + 8. Calculate h(-3).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4859087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3553 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*z + 13, 0*z - 2 = -2*h + 4*z. Let s(c) = -2*c - 3. Let o(y) be the first derivative of -y**2\/2 - y - 24. Determine h*o(j) - 2*s(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2) + 5\/(-10))\/2. Let y(n) be the third derivative of 1\/9*n**3 + 2*n**2 + p + 0*n + 1\/180*n**5 + 1\/24*n**4. Factor y(l).\nAnswer: (l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((-16)\/10*10 - -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84121.18cm to millimeters.\nAnswer: 841211.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:47 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63f18 - -2c?\nAnswer: -63eec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6*12\/3)\/(32\/336*21)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -255, -258, -261, -264, -267?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3192 by 6.\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039558807 to 6 decimal places.\nAnswer: -0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose -140*s = -27406 + 26846. Solve 0 = i + 3*a + 2, -t*i + a + 4 = -s*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/4 (b) -3\/4 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089572433 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 1, n: 1}. Give prob of sequence jnw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -110*t**3\/3 + 35*t**2\/2 - 2*t - 105. Find the second derivative of l(m) wrt m.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqq when three letters picked without replacement from tpqqp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685425.\nAnswer: 3, 5, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329984.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-2)\/(-140) - (-68)\/(24480\/(-12204))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-25)\/3 - 1*(-39)\/36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/(117\/27) + (-190)\/16 and -91\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2441183 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:43 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -26*h + 45*h - 16*h. Let l(t) be the third derivative of -5*t**4\/24 + 2*t**2. Calculate l(y(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1199*u - 80 = -1215*u. Solve 0 = -x + 3, -5*w + u*x - 25 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2374833, 2374823, 2374821, 2374827, 2374841, 2374863?\n\"Answer: 4*z**2 - 22*z + 2374851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4*g - 1763. Calculate w(44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, -17, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 3 + 3)*(-9*g + 9*g + 6*g**2) + 2*g**3 - g**4 - 2*g**3.\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15)*(4 + 1) + 85. Let c = s - 80. Let m(g) = -g + 4. Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 smaller than -2812\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 164, 165, 166?\n\"Answer: t + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041311 * -0.15.\nAnswer: 0.00619665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2, 10, -1.3, -0.1 in increasing order.\nAnswer: -1.3, -0.1, 1\/5, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 7 = 4*i. Let n(w) = w**2 - 5*w - 1. Let m be n(i). Let g(o) = -8*o + 5. Let k be g(-1). Is m at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2)\/20)\/(-16 - (-9204)\/585)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = 5*y, 2*r + 5*y + 22 = 0. Let j be (-4)\/18 - r\/27. Is 17 a factor of -1*(j + -36 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 11) in base 2?\nAnswer: -100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 19 + 14 + 2*b - 62 + 20*b to the form z + j*b and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/12 + 7*s**3\/6 + s**2\/2 - 3*s. Let x(h) = -h**2 + 9*h + 42. Let q be x(12). Give j(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 93455, 374280, 842321, 1497578, 2340051, 3369740, 4586645?\n\"Answer: 93608*d**2 + d - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*v - 2. Let k = -5 - -10. Sort k, -4, v in ascending order.\nAnswer: -4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-112) - 725\/(-35). What is the tens digit of 1588 - -1 - g\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - 1. Let a be (4*2\/4)\/2. Let k be w(a). Suppose 24 = -2*q + 6*q. What is the greatest common divisor of q and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, -1\/7, 5, -56.91, -3 in decreasing order.\nAnswer: 5, -0.028, -1\/7, -3, -56.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:03 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290\/3*c - 155\/3*c**2 + 0 + 5\/3*c**3 = 0. Calculate c.\nAnswer: 0, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/16 and 136\/((-2)\/1)*9\/2280.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20394\/261360 + 1\/(-24)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.56 + -5.14. Let m = l + -1.3. Let z = m + 7. Which is the third smallest value? (a) -5 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2257475 to three dps.\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r + 29. Let k be y(-7). Let n = -86 + k. Find the second derivative of n*s - 130*s**5 - 30*s + 144*s**5 wrt s.\nAnswer: 280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -40 - (-3 - -3)\/12\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206882 = 66*a + 30*a - 424606. List the prime factors of a.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 15 - 2*k + 6*k + k as i + w*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -1. Suppose -q*m + 5*m + 6 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27420 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**5 - 23*i**4 + 3*i**2 + 3*i + 3. Let t(m) = m**5 + 21*m**4 - 2*m**2 - 2*m - 2. Let v(q) = -3*t(q) - 2*x(q). Solve v(s) = 0 for s.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5036*f - 423375 + 96035 for f.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2 and -81\/1715168.\nAnswer: 1715168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 434 - 438. Let t = 3 - 3. Sort 1, -0.3, z, t in descending order.\nAnswer: 1, t, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 472 - 471.6. What is the nearest to -0.2 in 0.1, j, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4\/5 - 33\/5*y**4 - 18\/5*y**5 - 2\/5*y**3 + 29\/5*y**2 = 0.\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 6. Let t(a) = -5*a - 13. Let o(h) = -13*r(h) + 6*t(h). Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37590 divided by -17\nAnswer: -37590\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 65, 0.05, 1 in descending order.\nAnswer: 65, 1, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1)**2 + -5.\nAnswer: -24*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -37*i + 86. Calculate o(6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 768*w**2 - w + 2. Suppose 8*k = 3*k. Let d be k + (4\/(-2))\/(-2). Is y(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213750 and 2408250.\nAnswer: 36123750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2\/25 (c) -3 (d) 0.3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - y**3 - 4)*(-1434743*y - 4*y**2 + 1434752*y - 11*y**2).\nAnswer: 15*y**5 - 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1524, -3475, -6206, -9717, -14008, -19079?\nAnswer: -24930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916851.\nAnswer: 3, 13, 23509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/22*-11)\/(2\/1292)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - v = -3*t - 15, 2*t = -v - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7886 is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 s when four letters picked without replacement from gxgsgsxggxxsxgggx.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h*j*l*p**2 - 3*h*j*l*p + 2*h*p**2 - 7*h*p + 2*j*l**2*p**2 - j*l**2 - j*p wrt p?\nAnswer: 16*h*j*l + 4*h + 4*j*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -144.5 less than or equal to 1652\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57658 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690 + -650 - (-1 + -24).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f. Let d be h(2). Let m = 50 + d. Let b = -36459 - -36467. What is the highest common factor of b and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -56962, 3 in ascending order.\nAnswer: -56962, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 39, 25, -32, -7, -5 in decreasing order.\nAnswer: 39, 25, 2, -2, -5, -7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1512\/10 + (-640)\/(-50) + -13. Suppose -2*j = -3*r - 114, 5*j - 127 = 4*r + q. Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -7)\/(27\/(-72)) - (-2 + 7). Calculate the highest common divisor of 1397 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 820224.1ml?\nAnswer: 820.2241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23498573*y**3 - 2*y**2 - 703*y - 801 wrt y.\nAnswer: -140991438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from {q: 1, b: 1, m: 2, x: 9}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -14. Let r(x) = 4. Let f(c) = c - 12. Let v(i) = f(i) + 6*r(i). Determine v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 3*j**2 - 2*j**2 + (-3*j + 4*j - 3*j)*(6 - 5*j - 6).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1746 - 1749. Let w = 1.9 + -2. Let i = 484\/5805 - 2\/215. What is the second smallest value in w, i, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 27*f + 21. Let c be d(-1). Sort c, 1, -4, 171 in decreasing order.\nAnswer: 171, 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 251\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 621 + -244. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c + 0)*(0*c**3 - c**3 + 2*c**3) + (164*c + 247 - 247)*(2*c**3 + 1 - 1) to the form n + z*c**4 + j*c + k*c**2 + w*c**3 and give z.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oluu when four letters picked without replacement from xulloxluxouuolx?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - 54*t + 3113*t**2 - 20*t - 3112*t**2 + 4 to o*t**2 + g + f*t and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (497\/1060)\/((-3)\/(-4)). Let d = i - 4\/159. Let b = 1\/10 - d. Which is smaller: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-5 - 16) - 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-104)\/(-27)*(17208\/96 - 179)?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -f + 2*f - 14, -2*r + 3*f + 6 = 0. Solve 5*y - 3*z - 11 = -r*z, 0 = -2*y + 4*z + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14955 * 1\nAnswer: 14955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.4, -5, 307, -1.7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0*q - 1 - 3 - 7*q - 2*q**2 + q**2. Let a be i(-6). Suppose 3*m = -v + 3, -a*v + 9 = v. Solve m = -5*w + 2 + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r**2. Let q(v) = 7*v**3 + v. Let j be q(1). Let k = 10 - j. Suppose p + k = -p. What is f(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0172504342 to 5 decimal places.\nAnswer: -0.01725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 41*g - 31*g. Let b be (-5)\/2*(-15)\/(30\/g). Solve 10 = -j + b*n, -3*n - 2*n + 15 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*q + 621 = 112*q - 177*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6*v - 768*j**5*v**3 - 6*j**2*v**3 + 143*j**2*v**2 wrt j?\nAnswer: -120*j**3*v - 46080*j**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208001959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - p - 11. Let x be 6 + (0 - -2) + -2. Let s(g) = 4*g**2 + 10. Let l(u) = x*s(u) + 5*f(u). Is 2 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + 1 + 1*sqrt(192) + (-4*(-2 + sqrt(192)) - sqrt(192) - sqrt(192)))*5)**2.\nAnswer: -234000*sqrt(3) + 1118025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 3. Let k be y(-3). Suppose k = -j + 2 - 6. Let z be -1 + 0 - 20\/j. Solve -z*d - 3*t = 8, 3*t + 0*t = -5*d - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 2384*c + 4760 = 0?\nAnswer: -1190, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697240?\nAnswer: 2, 5, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6723 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = -0*h, 27 = 3*u + 4*h. Suppose -5*l - 10 = 2*s, -u*s + l + 37 = -2*l. Find the second derivative of -1585*w + 1608*w - 3*w**s - w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 33*u - 265, 2*u + 20 = 2*u - 0*u + 6*u - 2*u for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86.03 - -77.101. Let p = 0.071 - n. What is the second smallest value in 0, p, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 2. Let p be ((-8)\/12)\/(6\/63). Let k(v) = v**3 + 7*v**2 + v + 10. Let s be k(p). Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*36 + 135*38\/(-513)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from pzddqtnzntzn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -65, -200, -451, -854, -1445?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3437773, 3437753, 3437729, 3437701, 3437669?\nAnswer: 3437633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -819 - -1425. Let j = 1052 - o. List the prime factors of j.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 6. Let t be y(10). Suppose t*u - 2*u = -2. Suppose 4*p - 3 = 9. Sort -0.1, u, p.\nAnswer: u, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -383*(-9 + 6) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -208500 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34.6 * -0.2\nAnswer: -6.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 16 + 9 - m - 1.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(280)\/(sqrt(90)\/sqrt(9)))\/(sqrt(108)\/sqrt(3)))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1122701 or 0.1?\nAnswer: 1122701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10550*j - 21029*j + 0 + 0 + 2*j**2 + 10479*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 11*t + 26. Determine z(6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f - f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(5\/2)\/i)**(2\/11))**(-10\/9))**(-1\/6) assuming i is positive.\nAnswer: i**(5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4929.89582 - 4930. Round n to 3 dps.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-3 - -6)) + 6 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -462, 458, 1378?\n\"Answer: 920*f - 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (595 - 602) + (1 - (-13)\/(-12))*-86. Sort -2.82, 4, -0.2, m in decreasing order.\nAnswer: 4, m, -0.2, -2.82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2715 and -0.4.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 999, 2698, 4399, 6102, 7807, 9514?\nAnswer: 11223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -98\/447, -0.4, 1\/8, 4, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 75)*(-2 + 4). Suppose 161*u = w + 162*u - 154, -u - 2 = 0. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2066680)\/17446 + (122 - 2)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62244118 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:57 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -79? (a) -1 (b) -7.12 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 24*m**2 + 25*m - 90. What is the remainder when p(-22) is divided by 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 5*n**7\/14 - 22*n**6\/15 - n**5\/10 + 3*n**3\/2 - 347*n**2\/2 - 101*n - 10. What is the second derivative of o(g) wrt g?\nAnswer: 300*g**3 - 528*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 371*s - 7427. Calculate c(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {o: 7, j: 2, e: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1389840?\nAnswer: 2, 3, 5, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62257\/176220 - -143\/801. What is the common denominator of f and -109\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 + 108*m**2\/13 + 1848*m\/13 + 9680\/13.\nAnswer: 2*(m + 10)*(m + 22)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 152, -2, -2\/3?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -70.\nAnswer: -11\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4361 and 4628.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let c(o) = -77*o**2. Calculate c(z(m)).\nAnswer: -308*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555080, -555081, -555082?\nAnswer: -555083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 9*f - 15. Determine y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 60038.1 and -33077500.\nAnswer: -33017461.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 - 4*r**2 + r + 4. Let j(i) = -7*i**3 - 5*i**2 + i + 5. Determine -4*j(h) + 5*k(h).\nAnswer: -2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3 - (-64)\/20). Suppose 11 = d*l - 24. Is 6 a factor of (l\/3)\/(12\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/6 - 4\/3. Which is the nearest to 3? (a) 0.1 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2. Let m(n) = n**2 + 6. Let g(s) = 86*s**2 - 183*s**2 - 91 + 83*s**2. Let y(c) = 6*g(c) + 91*m(c). Determine q(y(z)).\nAnswer: -245*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8856438\/1039 + 8524. Is 0 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 8*y**2 - 12*y - 8. Let q be p(-10). Suppose 143 = 5*u - q. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 74*g = -65 + 1569 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1326590655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 1. Let z be j(1). Suppose 46 = 4*h - 4*d - 70, -z*h + 4*d + 142 = 0. Suppose -q = -3*q + h. What is the highest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 4*d**3 + 2*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -753 - -756. Let v(h) = -3*h. Let i be v(-1). Factor 5*g - 3 + 0 + 4*g - m*g**2 - i*g.\nAnswer: -3*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2243*i + 10 + 5 - 2309*i)*(-i + i - i**2) as g*i**2 + d*i**3 + o*i + l and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*g**5\/15 - 4118*g**4\/15 - 1652*g**3\/3 + 29416*g**2\/3 + 105168*g\/5 + 14016\/5 = 0. Calculate g.\nAnswer: -292, -6, -2, -1\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -5*k**6\/6 + k**5 + 165*k**4\/4 + 105*k**3 - 708. Factor m(c).\nAnswer: -5*c**2*(c - 7)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -1\/8 (c) 1 (d) 3 (e) -17\/2 (f) -717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let q = -3 - d. Sort -1, q, -2 in decreasing order.\nAnswer: q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0 + 0 - 68*l + 72*l. Let f be (-2)\/(-3) - (-3)\/9. Let p(v) = -2*v**2 + f - 1. Determine y(p(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -205, 0.2, -26, 3, 0.24, 5\/4, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-4 + sqrt(833) + 1 - (sqrt(833) + 0)*6) + 0 + (sqrt(833) + -1)**2*-6) + -1)*-4.\nAnswer: -20024 + 196*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 = 5*y. Let u(x) = -968 + x**2 - 2*x**2 + 955 - 14*x. Let p be u(y). Solve -2*w + 2*q = -p*q, 2*q = 3*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17528 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2 + 2. Let o = -62 + 66. Suppose o*q = 3*y - 22, 0 = -y + 3*q + 1 + 8. Let j(x) = -18*x + 18*x + 2 - 7*x**2. Calculate y*r(b) - 5*j(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 7) to base 16.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - s**3 + 500*s**2 - 15*s - 502*s**2 to the form p + v*s**2 + t*s + b*s**3 and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1071, 1070, 1069, 1068?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let i = -28 + 10. Let f be 2\/i*-3*4. Which is the closest to n? (a) f (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-24))**40\/(u*u\/u**(-14)*u)**27)**(2\/133) assuming u is positive.\nAnswer: u**(-2838\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i**3 + 30*i**3 - 8*i**3 + 17*i as f*i**2 + u + o*i + c*i**3 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 169 = 191. Let l be (((-5)\/w)\/((-3)\/(-6)))\/(-1). Let u = 4 - 3. Is l at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = -18. Suppose 6*o - 4*o - 924 = n, 4*o + j*n = 1828. What are the prime factors of o?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/4))\/q**(-2\/3))**(9\/7))**3 assuming q is positive.\nAnswer: q**(153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j\/j**(-12\/11)*j)\/j))\/j*j*j**(-24))\/(j\/(j\/((j*j\/(j**4*j*j)*j)\/j*j)*j))**1 assuming j is positive.\nAnswer: j**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-17 + 23)*(-1)\/(-45)). Calculate the greatest common divisor of 480 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 3*w**2 - w + 2. Let z be r(2). Suppose 14*a - 172 - 570 = 0. Suppose -27*f + a = -190. Solve -f*y = -z*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and -4.51.\nAnswer: -21.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let c = -423 + 428. Let z = -1\/45 + 16\/45. What is the second biggest value in c, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 478363608 + 10\nAnswer: 478363618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - (-11 - (-7 - -12))) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1. Let o = -3522 + 3527. Let n(c) = -28 - c + 2*c - 3*c. Let z(d) = o*y(d) + n(d). Find the first derivative of z(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let t be l\/(-16) - 134\/(-8). Let b be (8\/76)\/1 + (-11)\/(-209)*17. Put -1, b, t in descending order.\nAnswer: t, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 8.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 + 9 + t**2 - 9. Let i(g) = -7*g - g + 6*g. Calculate i(q(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376.454nm in kilometers?\nAnswer: 0.000000003376454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*s**2 - 2\/13*s**3 - 8\/13 + 0*s.\nAnswer: -2*(s - 2)**2*(s + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 122*u**2 + 377*u + 11167. What is c(118)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-4) - -2)*2. Let r = -6 - w. Is 10 a factor of (-2)\/r - 32\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/77 or 0?\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -4*m**5\/5 - m**4\/4 + m**3\/3 + 7*m. Let c be b(1). Which is greater: -16 or c?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(220)*-1 + sqrt(220))*-4)\/((sqrt(11) - sqrt(11)*2*-3) + sqrt(11)))\/(sqrt(160) + (1*sqrt(160) + sqrt(160))*-6 + sqrt(160) - sqrt(160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 3, -5 in increasing order.\nAnswer: -157, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 2*z**2 - 2*z - 2. Let d = 147 + -129. Let k(i) = 40 - 3*i - d + 3*i**2 - 25 - i**3. Let h be (-2 - 2*-1) + 2. Determine h*k(n) - 3*o(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/7661 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14865)\/41622)\/(5\/((-2)\/(-4)*-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - -16. Let k = 30 - j. Let z = -3.06 + 0.06. What is the third smallest value in k, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/6300 - 2*k**6\/225 + 16*k**5\/75 + 8*k**4\/3 - 4*k. Let l(j) be the third derivative of v(j). Factor l(c).\nAnswer: 2*(c - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1654111 - -41?\nAnswer: 1654152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*o + 104*o = -3. Is 7 a factor of (17 + -3)\/(o\/6*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 10:05 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*o + 5 = 0, 29 - 9 = 3*z + o. Let t be (z\/35)\/((-9)\/15). What is the second smallest value in t, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i - 10*i + 8*i as y + b*i and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 330*s + 5030. Give l(-179).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u**(-4))\/(u\/(u\/(u\/(u*u\/u**(1\/4))))*u*u*u**(-1\/7)))\/(((u**(-2\/7)*u)\/u)\/u*u*u**0)**48 assuming u is positive.\nAnswer: u**(129\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127\/48 + 53\/16. Let n = 9 - 8.3. Let k = 0.6 - n. Which is the nearest to k? (a) -2\/9 (b) 3\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 5. Let r(s) = 6. Let m(t) = -5. Let w(p) = 5*m(p) + 4*r(p). Suppose -9 = 4*h + 7. Let o be 6 - (-2)\/4*h. Calculate o*w(k) + x(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195104263*f - 4 - 1 - 195104441*f + 5.\nAnswer: -178*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 0.062 (c) 0.0192 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 546*r**2 - 123776*r - 124320 = 0. Calculate r.\nAnswer: -420, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1833.2 and 0.129?\nAnswer: 1833.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-33 + 34)*(2 + 63\/(-30))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-14) + 0)\/(5 - -1). What is the second smallest value in t, -5\/4, -5, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -7\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodododzoozoooqdvv. Give prob of sequence dq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 46*p**3 + p**2 + 2*p - 2. List the prime factors of t(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g + 2*g)*(0*g**3 + 7*g**3 + 6*g**3) - 3*g + 3*g + 5*g**4 to the form t*g**2 + o*g**4 + z*g + w*g**3 + m and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15d16 + -2?\nAnswer: 15d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.236 decades to centuries.\nAnswer: 17.7236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1bb (base 13) to base 8\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 198 = -s, -753 = -4*s - 0*s - w. Let u be (336\/80)\/(1\/5). Calculate the greatest common factor of s and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13003, -13001, -12999, -12997, -12995, -12993?\n\"Answer: 2*r - 13005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*d**5 + 193490*d**4 + 215493500*d**3 + 15979663000*d**2 - 3561680000*d = 0. What is d?\nAnswer: -2110, -80, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/7, -38, 1891, 60?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.57, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54313 (base 6) to base 15.\nAnswer: -2326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 6. Let a be (729\/(-162))\/((9\/(-4))\/(-3)). Determine g(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*b - 543*b = -279*b + 297. Solve -t = 8*t + b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37133870?\nAnswer: 2, 5, 3713387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**15*o)\/(o\/o**(-4\/11)))**(1\/8) assuming o is positive.\nAnswer: o**(161\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5790547 is divided by 68935?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2498.084 rounded to the nearest integer?\nAnswer: -2498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (-88 + 81 - 53).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-108))\/(1\/11682327). Suppose 50794656 = 3*o + 9412329. Let v = f + o. What is v rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1)*(-11)\/(32 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 20922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 22 = -2. Let h = r - -9. Let z(s) = 6*s**2 + 2*s - 2. Is z(h) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 0 - (7 + -137 + 204)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 6 + 3 + 2)*(9*u**3 + u**3 - u**3).\nAnswer: -9*u**4 - 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 (base 12) in base 4?\nAnswer: -110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6120 and 108120?\nAnswer: 324360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3758*h - 365*h + 13971*h**4 - 14557*h**4 - 2*h**3 wrt h?\nAnswer: -7032*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 at most 5116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {p: 10, w: 2, y: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:46 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnd when three letters picked without replacement from utrnndm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -52*-8\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -689.6 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/3 - (-9)\/(-27). Let w(a) = 28001*a - 10. Let j be w(c). Round j to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-460) - (-13)\/(2990\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 49*l = -5*a + 5, 5*a - 21 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 794, 1 in ascending order.\nAnswer: 1, 3, 794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/55)\/f**(2\/73)*f**(-8\/3)\/(f\/((f*f**(-2\/29))\/f)) assuming f is positive.\nAnswer: f**(-1308094\/349305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -434 and -0.1535.\nAnswer: 66.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**8\/420 + 8*m**7\/525 + 3*m**6\/25 + 4*m**5\/15 + 7*m**4\/30 + 39*m**2. Suppose w(c) = 0. Calculate c.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmiu when four letters picked without replacement from uikiiimnnmuiiun?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8816497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**3 - 15*m**2 + 12. Let b(g) = -g**3 - g**2 + 1. Suppose t = 3*k - 0*t + 39, -t - 33 = 3*k. Let q(o) = k*b(o) + z(o). Factor q(w).\nAnswer: 3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a3c4 + -1345?\nAnswer: -b729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) + 3439\/855. Let g = x + -12\/5. Factor 9\/5*d**3 + 0 - g*d**2 + 2\/5*d + 1\/5*d**5 - d**4.\nAnswer: d*(d - 2)*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1291107, 2581851, 3872595, 5163339, 6454083, 7744827?\n\"Answer: 1290744*k + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*m + 2*k, 2*m = -2*k - 20 + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84908 is divided by 21215.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -9*i**4\/4 - 8*i**3 + 6*i**2 - 11*i. Factor r(s).\nAnswer: -3*(s + 2)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -23 - 2210*v + 41 - 16. Let c(n) = 2*n. Determine o(c(l)).\nAnswer: -4420*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*d**2 + (-3*d + d + 3*d)*(-4*d + d + 4*d) - 5*d**2 - 33*d + 33*d + 4*d**2 + d**2 - 4*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z, 2*i - i - 4*z = -751. Let q be 0\/(-2) + (-36)\/i. Let u = q - 4397\/2024. What is the common denominator of u and 119\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**3 - 41191*j**2 - 97402?\nAnswer: 9*j**2 - 82382*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f - 7*f)*(f - 3*f - 2*f) - f**2 - f**2 - 2*f - f**2.\nAnswer: 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311727 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 9*f - 1. Give m(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*(-7)\/49*-1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isxc when four letters picked without replacement from {x: 4, i: 2, c: 12, s: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 14*p**2 - 45*p + 319. Calculate z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318 + 315.4. Let s = -2.9 - i. Is 0.45 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 786, 821, 856?\n\"Answer: 35*c + 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-14) + 18\/(-63). Solve 0 = 4*o - 2*o + g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73088638 to the power of 1\/2, to the nearest integer?\nAnswer: 8549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsss when four letters picked without replacement from {s: 5, l: 11}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*o = -297*o - 10. Solve o*z + 30 = 5*s, 2*z + 0*s = -4*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 - 4*d**2 + 4*d**2 + (0*d + d + 0*d)*(-1 - d + 1) + (3*d - 2*d - 3*d)*(-43 - d - 7 + 8).\nAnswer: -d**2 + 84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986223729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + o + 18 = 0, -2*y - 493 = 2*o - 497 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(208) + 1.\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*h - 6 - 255*h - 182*h + 418*h + 4.\nAnswer: -168*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/106 + 380\/371. What is the common denominator of 104118\/(-5180) + 3\/5 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 - 102950*r**2 + 7334305*r - 7231350 = 0. Calculate r.\nAnswer: -20661, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9*j + 27*j - 32601800 = 0. What is j rounded to the nearest ten thousand?\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + -3. Let u = f + 18. Let w be ((-31)\/((-1488)\/32))\/((-4)\/10). What is the second biggest value in 0.1, w, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -5 + 0*o + 1\/72*o**6 + 7\/3*o**3 + 0*o**2 + 0*o**5 + 0*o**4. Let q(l) be the third derivative of a(l). Solve q(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*b = 503, -4*r = b + 2*b - 479. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 16, 37, 66, 103, 148?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 147 = 6*r. Put r, 0, -5 in decreasing order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15679 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 242551*g**6 + 242*g**2 - 6*g + 4 wrt g.\nAnswer: 29106120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1998186 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**7\/42 - k**4\/8 - 9*k**2. What is the second derivative of u(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -24.03. Let f be -2*-1*(-1)\/(-2). Which is the nearest to f? (a) u (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2996058 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2. Let j(w) = -40*w - 43. Let i(r) = 13*r + 15. Let k(t) = 11*i(t) + 4*j(t). Let a(h) = 9*h + 3. Let l(v) = 14*a(v) + 6*k(v). Calculate l(u(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 417, -2, 3 in ascending order.\nAnswer: -2, 1, 3, 5, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 3*g = -8*r - 3885, r - 1939 = 2*g. List the prime factors of r\/7 - (-17)\/(1428\/(-24)).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45.5 and -4.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2782 + 156.4818. Let w = u - 163. Let b = w - -0.94. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 911, 3328, 7349, 12968, 20179, 28976?\nAnswer: 39353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*o - 28, -3*o + o = 5*d - 179. Let b(s) = 53*s - d*s - 24*s. Let u(q) = 4*q**2. Give b(u(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**3 - 145*q + 145*q)*(-q**2 + 3*q**2 - 3*q**2) + 0*q - q**5 + 0*q + (3 - 2 - 3)*(3*q**5 + q**5 - 3*q**5) + 3*q**5 - 4*q**5 + 2*q**5.\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112618 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 14 = 5*i, -8*s + 6*s + 2*i + 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.253 + -0.053. Let s = 2466 - 2470. Which is the third biggest value? (a) l (b) 139 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-44 - (43 - 143)) + 22?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*a - 1652, -19*a + 4 = -20*a. Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 389 + 13*d - 301.\nAnswer: 13*d - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -303 and 0.3.\nAnswer: -90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8362\/(-6) + 6\/(-18). Let r = p - -27. Is (1 - 2)*1*r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.676988 weeks?\nAnswer: 113.733984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(65) - (sqrt(65) - (-1*sqrt(65) + sqrt(65) + sqrt(65))*-1) - sqrt(65)) + -2*sqrt(65)*-2)\/(((-1*sqrt(50))\/sqrt(5))\/sqrt(2)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + -58. Solve -5*v - 5*b = 0, v + 2*b = -0 + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0912844834 rounded to five dps?\nAnswer: 0.09128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122614*p**3*t**5 - 3*p**3 - 1715*p*t**2 + 2*t**2 wrt t?\nAnswer: 7356840*p**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7930229 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 33204?\nAnswer: -33212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 46074309929 + 46074309929.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 u, and 1 r when four letters picked without replacement from {u: 2, g: 1, r: 3, e: 3, b: 1, q: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -784.34 times 959\nAnswer: -752182.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.9 + 18. Let t = -0.08 - 3.92. Which is the closest to n? (a) 2\/3 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158\/261 - 24\/29. Which is the nearest to 0? (a) -2\/3 (b) -5 (c) -2\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 938 + -683. Solve -20 = -2*n + 4*u, -2*n + 5*u = -x + 230 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -389?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + s + 13 = 0, 2937*o - 3*s - 24 = 2943*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611620 divided by 5770?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*1*-1)**2 + 0 + ((sqrt(108) + (sqrt(108) + (sqrt(108) + 1 - sqrt(108)))*3)**2 - (sqrt(108) - (0 + sqrt(108)*-1))**2))*1*-6.\nAnswer: -8478 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27b1e7 (base 15) to base 9\nAnswer: -3531871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let t(o) = o**2 - 1712*o - 2. Give x(t(q)).\nAnswer: -q**2 + 1712*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egkngeffeegengeege. What is prob of sequence gff?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279*d*m**2*s + 3*d*m**2 - 32*d*m*s + 3*d*s + 4*m**2*s + 43*m**2 - m*s - 6334*s wrt m.\nAnswer: -558*d*s + 6*d + 8*s + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 624*v**2 - 118260*v + 7076912.\nAnswer: -(v - 332)*(v - 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 41\/5294?\nAnswer: 41\/5294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 2. Let t be q(2). Let g be t\/(0 - -2) + 0. Suppose -3*y - 3*w - 12 = g, -y + 0*w - 7 = 2*w. Sort y, 3, -2 in descending order.\nAnswer: 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*o + 146 - 154 = 0, 3*q - 4 = -5*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 2*y + 1. Let h be d(-2). Let k = h - -32. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 - 35138*y**4 - 153930032*y**3 + 3558439128*y**2 - 2480472000*y - 20425578624 = 0.\nAnswer: -8796, -2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337720 to the power of 1\/2, to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + l**2)*(12587 + 210*l - 12587)*(l - 3*l + 3*l).\nAnswer: -210*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2. Let h(p) = -2*p**2 + 5*p**2 - 3*p**2 - 5*p**2. Give d(h(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 - q + 7. Let s be -3*(-2)\/(-6)*-16. Suppose z + 5 = s. Calculate the least common multiple of z and c(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*z + 16, -3 - 1 = -z - 5*x. Suppose 0 = -2*m + 2 - z. Is 158\/(-2*(m - 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233 - -139. Let q = u + 97. Solve r = -q - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.4 (b) 28\/9 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 16*g - 140\/3.\nAnswer: -4*(g - 7)*(g - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877551?\nAnswer: 13, 144427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 788\/8 - (-5)\/10. Calculate the highest common divisor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:26 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002486286939 rounded to 6 decimal places?\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 17. What is the second biggest value in -1, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -489661.\nAnswer: -1468983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -350621945 and 1.\nAnswer: -350621944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 4 = 15*a. What is the biggest value in -6, -1, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76930849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/4 - 1405*v**3\/2 + 36729*v**2\/4 + 42345*v\/2 = 0 for v.\nAnswer: -2823, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 46, 5, -2\/3, -0.5, 2\/17 in decreasing order.\nAnswer: 46, 5, 2\/17, -0.5, -2\/3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lellllllllll. Give prob of picking 1 e and 2 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 2*r + 20 - 10, 0 = 3*v + 2*r - 10. Suppose 5*s - v = s. Is -2\/1063 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/511 (b) 1 (c) -1 (d) 11\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74517 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002224717 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*b - 129. Let h = b + 31. Suppose -h = -3*k + 76. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = s - 66847 - 1119935, 4*b = -2*s + 2373570. Suppose s = 3*o + 154791. What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/101 + 161\/4141. Let j(p) be the third derivative of -7*p**4\/12 + 23*p**3\/6 + 29*p**2. Let a be j(2). Put 1, a, g in descending order.\nAnswer: 1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15556 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2 - 6*h + 2 - h - 1. Suppose -5*z - 10 = 0, 4*b + 3 = 5*b - 3*z. Let g be r(b). Calculate the greatest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2398, 4901, 7402, 9901, 12398, 14893, 17386?\nAnswer: 19877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/4728 or -170?\nAnswer: -31\/4728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - x**2 + 4*x)*(-661 + 661 + 31*x) + 1 - 1 + x**3 + x**3 + x**3 - 3*x**3 + (6*x**2 - 2*x**2 - 2*x**2)*(4*x + 2*x - 5*x).\nAnswer: -29*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11389*n**3 - 2*n**2 - 2504*n?\nAnswer: 68334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 122\/17 in -1, 0.4, -4\/17, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let h(j) = j**3 + 5*j**2 - 7*j - 4. Let o be h(-6). Let g(u) = 2*u + 16. Let q be g(-7). Let f(z) = 6*z**2 - z**q - 3*z**o. Give l(f(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 5. Is y(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**13*t)\/(t*t**(-2\/9)*t))**(-3\/8) assuming t is positive.\nAnswer: t**(-119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 4053*d**3\/2 + 5736567*d**2\/4 - 88140591*d + 1418796027.\nAnswer: 3*(d - 1318)**2*(d - 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*n**4 + 389*n**3 + 2*n**2 - 264957 wrt n.\nAnswer: -576*n**3 + 1167*n**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1864 + 1.8136. Which is the biggest value? (a) 111 (b) v (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546 divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 1, u: 2, r: 9, s: 3, j: 2}. Give prob of sequence se.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249952 and 592352?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 708*t - t**2 - 357*t - 341*t.\nAnswer: t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Suppose -5*f - 16 = -2*u, 2*f + 9 = -u - 1. Put p, -4, u in descending order.\nAnswer: p, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = -4*m, 3*g + 2*m - 16 = -g. What is the remainder when g is divided by (2\/(-6))\/(1\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((5*14\/(-140))\/((-5)\/(-2)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -127, -261, -415, -595, -807, -1057?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u + 26 = 5*h, 2*u - 4*h = -20. Let d be u\/2*6*-3. What is the units digit of (1\/(-2))\/((-3)\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312031 (base 4) to base 13.\nAnswer: 176b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:06 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p + 5*s - 10*s, 3*p = 5*s - 42. Let g(f) = 5*f - 5. Let y(a) = 21*a - 21. Let d(l) = p*g(l) + 2*y(l). Find the first derivative of d(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167580746?\nAnswer: 2, 1889, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43900 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 225. Let p = u - 116. What is the nearest to -0.1 in -4\/3, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80 + 48 + k**2 + 50 + 15*k - 4*k**2.\nAnswer: -3*(k - 6)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -8. Let h = 4 + y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 30*o = 494 + 388 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -158*u + 10257. Determine i(65).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(5\/(-6)) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -41.615?\nAnswer: 124.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10654 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.18, 69, -0.19, 3?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4644, 4632, 4616, 4596?\n\"Answer: -2*w**2 - 6*w + 4652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, -5, -31, -91, -197, -361, -595?\n\"Answer: -2*z**3 + z**2 + 7*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 - a + 4. Let i be y(4). Let l = i - -27. Let h(k) = -k**2 - 6*k - 3. What is h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270942 and 455.\nAnswer: 17611230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 7*t**2 - 40*t + 240. Let a be h(5). Which is greater: a or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -0.84?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/3 + 61*j**2 - 156*j. Let a(w) = w. Calculate a(g(f)).\nAnswer: 2*f + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 3*h**2 + 3*h**2 + (h**2 - 3*h**2 + h**2)*(0 + 2*h + 0) + 5*h**3 - 2*h**3 - 4*h**3 in the form u*h + p*h**3 + v*h**2 + w and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/6 + 11*x**5\/4 + 45*x**4\/4 + 125*x**3\/6 + 20*x**2 - 145*x. Find m such that q(m) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -37 + 54 + -62?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -31*i**3 - 3810*i**2 + 376*i + 851. Give w(-123).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-203 + 1 + -7)\/(1 - 2). Let g = a - 83. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - a**2 + 14*a + 0*a**2. What is the units digit of o(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 0)\/(-2*1). Suppose a*b + h + 3 = 2*b, 2*b + 9 = -3*h. Suppose -8*r - 25 = -137. Solve -21 = d - 5*x, -2*d + 3*x + 0*x - r = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3\/21 - 73*h**2\/14 + 74*h\/7 - 269. Factor k(v).\nAnswer: -(v - 1)*(v + 74)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + 2*g**3 + 171 + 0*g**2 - 96*g**4 + 2*g**2 + 98*g**4 - 3*g**2 in the form i*g**4 + b*g + u + p*g**3 + m*g**2 and give u.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 308 = -29*o. What is the second smallest value in -1\/4, o, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 534 + -537. Let s be (-40)\/(-50) + (-87)\/90. What is the nearest to s in j, -2\/5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {t: 6, p: 6, i: 1, x: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbxxq. Give prob of sequence bx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {b: 1, v: 2, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 782562.278 to the nearest 10000.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:03 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -151 divided by -343\nAnswer: 151\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3960600835+-5.1\nAnswer: -4.7039399165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 467 (b) 200 (c) 0 (d) -1\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -961, -4\/3, 5, -2, 23112 in descending order.\nAnswer: 23112, 5, -4\/3, -2, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153533042 (base 6) to base 8.\nAnswer: 14344362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -2.284. Let z = m - 65.884. Let i = z - -66.0000134. Round i to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9256, -37107, -83532, -148537, -232128, -334311?\nAnswer: -455092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 2144134?\nAnswer: -2144133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 171? (a) 12 (b) -1 (c) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38386 and 45730.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 116*w**5\/7 - 2052*w**4\/7 + 2020*w**3\/7 + 19620*w**2\/7 - 27576*w\/7 - 10368\/7 = 0. What is w?\nAnswer: -3, -9\/29, 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420729 + -29?\nAnswer: -1420758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*d - 3 = 0, 5 = -2*n - 3*d + 8*d. Solve -4*v = 3*i - 7*i + 20, n = 4*v + 3*i - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and -331842507.\nAnswer: -331842508.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*x - n, -3*x + 0*x = -n - 11. Suppose -x = -2*j + 2. Suppose -j = -g, -54810 = 5*z + 2*g - 4316. What is z rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 251 = 83. Let m = 30 + k. Solve -b + m*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 231?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 7. Let g be a(-6). What is the remainder when 7 is divided by g*2 + 0\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 14 - 2 - 14*p - 19*p.\nAnswer: -33*p - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 19\/2*x**2 - 5\/6*x**3 + 0 + 6*x. List the prime factors of w(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-249)\/(-51))\/(-8 - -9) + -5. Let o = 0.9 + 3.4. Let k = -3 - -6. Sort t, o, k in descending order.\nAnswer: o, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 641769666 and 3324?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18620 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5073529620 to the nearest integer?\nAnswer: 71229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 7. Let g(i) be the third derivative of -1\/10*i**s - 1\/60*i**6 + 0 - 1\/4*i**4 + 0*i - 1\/3*i**3 + 2*i**2. Suppose g(o) = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100110100000100 (base 2) to base 3.\nAnswer: 122122112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 3. Let b(c) = c. Let f be (-2)\/19*(-2375)\/250. Give f*v(d) - 2*b(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*o + 20. Suppose -o*q = 560 - 656. Suppose 3*j - 2*z = -0*z + 37, -2*z + 8 = 2*j. What is the remainder when q is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(30)\/sqrt(20))\/(sqrt(18)\/sqrt(6)*5*4) + 0 + 1.\nAnswer: -3*sqrt(2)\/20 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t. Let o be q(-1). Let a(x) = x**2 + 4*x - 1. Suppose 0*j + 6 = -2*j. Let p be a(j). Is o greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5640 and 2820.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86000000 = 18*w + 2*w. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2. Let f(g) = 581284*g. What is f(r(b))?\nAnswer: 581284*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6429*r**3 + 6463*r**3 + r - 11*r**4 + 2 - 5*r**2 + 8*r**4 to the form v*r**3 + x + u*r**4 + q*r**2 + n*r and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 194588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, 283999 in increasing order.\nAnswer: -0.3, 3, 283999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 287 (b) 2\/17 (c) 5 (d) -0.3 (e) 166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 747*h*z**2 + 5143*z**2 - 1 wrt h?\nAnswer: 747*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -202753?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 0 - (-841 + 851) - 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/((-3)\/(-18)). Let i = q - 0. What is the first derivative of 2*d**2 - d**2 + i + 2*d**3 - d**2 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1281, -1305, -1345, -1401, -1473, -1561, -1665?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242 + 3766*x - 840 + 80 - 1246*x wrt x.\nAnswer: 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 554 + 15*a**3 - 554.\nAnswer: 15*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283372, -566748, -850124, -1133500, -1416876, -1700252?\nAnswer: -1983628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85256, 170513, 255770, 341027, 426284, 511541?\nAnswer: 596798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 2, x: 5, y: 5}. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.1 (c) 1\/4 (d) 2\/19 (e) 5.1 (f) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 454 - 335 - (32 + 10 - 11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 470d35 + 1?\nAnswer: 470d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222516 and 296?\nAnswer: 16466184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1859 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/30 + (-36)\/(-10). Let y(c) = o + 6*c**3 - 2*c**3 - c**3 - 3*c. Let m(q) = -q + 1. Let f be m(5). Let x(j) = -2*j**3 + 2*j - 3. Give f*y(d) - 5*x(d).\nAnswer: -2*d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*s - 3 = -6*b, -5*s = -3*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-14) - 20\/(-35). Suppose b*y = y. What is the nearest to y in -4, -1\/4, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 5*a - 5. Give o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g - 7856 - 6834 + 1522 + 2790 + 27*g.\nAnswer: 3*g - 10378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1938 - 2311045\nAnswer: -2309107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 13, -2\/11, -11\/3, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-240)\/(-25)))\/((-1080)\/(-288))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -230966571929607.\nAnswer: 230966571929609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19196440.\nAnswer: 2, 5, 31, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = t + 5, t = -3*n - t - 1. Let j be -3 - -1 - n - 2. Let k(u) = 5*u - 4. Let i(p) = 6*p - 3. Let q(y) = -3*i(y) + 2*k(y). Determine q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14333, -16026, -17719, -19412, -21105?\nAnswer: -22798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29844352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z**5\/20 - z**4\/12 - z**3\/2 + z**2\/2 + 5*z. Let u be s(2). What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128057137 is divided by 64028559.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194560 is divided by 17656.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 228 = -4*u, 4*u + 0*u = 12. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let y(g) = -6*g - 7. Let t(q) = -4. Let l(w) = 1. Let x(v) = 3*l(v) + t(v). Let m(b) = 2*x(b) - y(b). Determine m(f) - 5*s(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3*(sqrt(17) - (sqrt(17) + -2)) - -2*sqrt(272))**2 - (2 + (sqrt(272) + 1)**2)).\nAnswer: -104*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8367, -66210, -223217, -528972, -1033059, -1785062, -2834565, -4231152?\n\"Answer: -8264*h**3 + 2*h**2 - h - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/20 - (-1594)\/8. Let d = 279 + -159. Suppose 6*u = 3*u + d. Calculate the highest common divisor of u and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 7187066683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 105685\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*s + 9, -6*s = 14*x - 12*x - 18. Solve d - 4*d - 3*u = x, -d - 18 = -5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 - 3210*t**2 - 128544*t\/5 - 257184\/5.\nAnswer: 3*(t - 5358)*(t + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -226, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -402725\/144 + 2797. What is the common denominator of d and 127\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 + 63*y**3 - 146115*y**2 + 16104525*y - 508495500.\nAnswer: 3*(y - 85)**3*(y + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 333 - 332.7. What is the second biggest value in 2, 3, r, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2. Let c(p) = p**2 + 4078. Determine c(n(i)).\nAnswer: 121*i**4 + 4078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784485424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2991307449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-75)\/(-30)*8\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:32 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -6, -0.4, -0.03.\nAnswer: -6, -0.4, -0.03, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/532656 and 49\/8.\nAnswer: 532656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66 or -121?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*o + 3 - 1, 3*o = -5*p + 29. What is the first derivative of o + f**2 - 2 + 1 wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)\/i)**14)**(-48) assuming i is positive.\nAnswer: i**(6048\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*f - 3 + 45, 22 = p + 3*f. Suppose 2*i - 113 = -c + 10, 0 = 2*i - p. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 21*o - 21. What is the second derivative of -48*l**3 + 55*l**3 + 15*l**4 - 4*l - 1 + o - 4 wrt l?\nAnswer: 180*l**2 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1393, 0, -2 in ascending order.\nAnswer: -2, 0, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213629 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 35 + 19 = -2*i, 0 = 3*c - 3*i - 18. Suppose -5*m = c*w - 70, -w = -5*m + 50 + 45. Solve 5*j - m = d, -2*j + 7*j = -d + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 227 = 73*v + 815. Let z(y) = 16*y + 242. Determine z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**5\/l)*l**10)**(19\/4))**4 assuming l is positive.\nAnswer: l**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**5\/5 + 15*a**4\/4 - 13*a**3 + 37*a**2\/2 - 12*a + 19. Determine g so that y(g) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afaa when four letters picked without replacement from ffaaaaffffaaffaafaaa.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 934*p + 285. List the prime factors of r(2).\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200389 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33595 + 3633. Let w = 79954 + l. Suppose o - h = -3*h - w, -4*o - 200020 = -5*h. What is o rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-10))\/(3\/20). Suppose 0 = 19*n - 11*n + f. Put n, -3, -11 in decreasing order.\nAnswer: n, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -4)*(-6)\/(-12). Solve j + n + 4*n = 0, 14 = -s*j - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -16 - (-9 - (-14 - 0) - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*64\/24. Let o(z) = -z**2 - z + 1. Let a(l) = -5*l**2 + l + 24. Let b(p) = r*o(p) - a(p). Is b(9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:20 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19c7a3 (base 15) to base 14.\nAnswer: 24a260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**3*m - 63397*j**2*m - 310*j**2 + 2*j*m - 8*m + 4194868 wrt j?\nAnswer: 24*j*m - 126794*m - 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = j + 5*n - 14, n + 2 = j. Let a(o) = 3*o**2 + 3*o - 4. Calculate the lowest common multiple of j and a(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 11*n**2 - 12*n + 5. Let r be v(12). Solve -r*j + 4*x = -25, -4*j + x = -0*x - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2110*2\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -14027*k + 897716. Calculate p(64).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 13*l**2 - 7*l + 8. Let h be o(6). Factor 4\/9 - 2\/9*a**h + 2\/9*a.\nAnswer: -2*(a - 2)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3471, 3474, 3437, 3342, 3171?\n\"Answer: -3*x**3 - 2*x**2 + 30*x + 3446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 101 = 26. Let a be (-6)\/r - 12\/55. Let c be (-17 - -13) + 3\/1. Is c at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2523*w**5 - w**4 - 796*w?\nAnswer: -50460*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*g + 110 + 63, 153 = -3*i + 3*g. Let d = i - -199. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1))\/k)\/(((k*k**(-8)\/k)\/k)\/k))\/(k**1)**(-7\/2))**(-3\/2) assuming k is positive.\nAnswer: k**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 1. Let o be b(0). Suppose 0 = 2*s - 1 - o. Is 17 a factor of s + ((-343)\/(-3) - (-10)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62010 or -248043\/4?\nAnswer: -248043\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145132240 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 + 5*z + 2. Let r(v) = v**2 + 13*v + 33. Let p be r(-11). Suppose p*g - 2*g = 36. What is the remainder when 23 is divided by k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, b: 1, i: 2, e: 4, m: 1, y: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136586370.\nAnswer: 2, 5, 213658637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29122 is divided by 28413?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*i - 9. Let w(z) be the first derivative of 2*z**3\/3 + 3*z**2 + 15. Is 12 a factor of w(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.2 (c) 1\/2 (d) -10543 (e) -1 (f) -2\/13 (g) -2.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 366*g - 7. Let o be u(2). Calculate the remainder when 0 + (-13)\/(-39) + o\/3 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 405\/63 + (-4 - (2 + 0)). What is the closest to k in -1, -1\/7, 7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 612.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14844*y**3 + 14844*y**3 + y**4 - 4*y + 8*y**2 as b + q*y**3 + n*y**4 + g*y**2 + s*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9078926 is divided by 1296979.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 3. Let i(f) = -f - 1. Suppose -3*g + g = -6. Let v(r) = -3 - 2 - 6*r - g. What is t*i(a) - v(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = -4*l - 297. Let v(g) = g**3 + 13*g**2 + 25*g + 25. Let d be v(l). Let r(b) = b + 10. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -33. Let r be (-57)\/(-12) - (-5)\/p. Suppose r*b = b + 148. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4. Let c be -5*1\/(-1) - -1. Suppose 3*l - c*l = -12. List the prime factors of o(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence breb when four letters picked without replacement from ebbbbrbbb.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 13. Let w(g) be the second derivative of 5*g**4\/12 + 681*g. Give w(n(v)).\nAnswer: 20*v**2 - 260*v + 845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u + 538 = -664 - 316. What is the remainder when 24056 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89*2*(-2)\/(2 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*b + 9*b**2 + 89*b + 77*b**2 - 116*b**2 + 81*b**2 + (3*b**2 - 4*b**2 + 0*b**2)*(2 + 4 - 2).\nAnswer: 47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 1787?\nAnswer: -22\/1787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 261\/274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s - 10. Let v(x) = 57*x - 44. Let b(z) = -11*z + 8. Let t(d) = 11*b(d) + 2*v(d). Determine y(t(q)).\nAnswer: 28*q - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 262.5 - 262.8. Let s = 14 + -12.7. Let o = s + 0.7. What is the third biggest value in o, -6, t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9575*n**3 - 3*n**2 - 6555 wrt n?\nAnswer: 28725*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 77 = 53. Let z(f) = 15*f + 7 + f**3 + 3 - 12*f**2 - 3. Let y be z(r). Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1645 - 220. Let o = 3327 + z. Let g = -711 + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(3*sqrt(88)*-6 + sqrt(88)))\/(((sqrt(72) - sqrt(72)*-2)*4 - sqrt(72))\/(sqrt(90)\/(sqrt(90) - sqrt(10)) + sqrt(9) - sqrt(9))).\nAnswer: 85*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 4 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*h, 0 = 5*f + h - 12 + 38. Calculate the common denominator of (-39)\/42*f*(-1)\/12 and -27\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14458066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = 5*u + 40, -d + u = -26. Let o be ((-12)\/d)\/((-2)\/10). Suppose o*i = -2*h + 7*i + 15, -2*h + 42 = 4*i. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/48 and -113\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 266*j - 7154. What is the hundreds digit of x(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(154\/(-2156)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -23*k - 33. What is the remainder when l(-10) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 - 1?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u*u**5*u))\/u)*u*u*u*u**(1\/10)*u assuming u is positive.\nAnswer: u**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(m + m - 3*m) - 5*m + 4*m + 2*m + (5 + 2 - 2)*(0 - 3*m + 0) in the form c*m + v and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120112 - -1202100?\nAnswer: 1011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:33 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2914503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.419873 + 1.42. Round m to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-85)\/35 - (-1 - 2). Let y(h) = h + 4. Let k be y(3). Suppose -6 = -4*o + 3*c, -2*o - k = 5*c + 3. Are o and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 = -r, i + 0*r - r - 2 = 0. Suppose -8*n = -6*n + i*m - 21, n + m = 9. Let w(f) = f**3 - 5*f**2 - 5*f - 5. Calculate w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-944550)\/(-105) + 69\/21 + -3. Suppose -2*j + 8850 + m = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h - 4237 + 1918 - 1215 = 0 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327357.9ml to litres.\nAnswer: 327.3579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 4 in ascending order.\nAnswer: -10, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7781610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = t - 3*t. Suppose 4*h + 4*o - 11 = 3*o, -t*o = -5*h + 20. Suppose 1 - 2 + 1 - 6*v - h*v**2 = 0. Calculate v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lol when three letters picked without replacement from lloovooyoooololol?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/1817 + -89105\/21804. What is the common denominator of -25\/16 and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 12:43 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*h - 86*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30012307 to the power of 1\/2, to the nearest integer?\nAnswer: 5478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*a - 2*n, 0 = 2*n + 3*n. Suppose 5*f - 2 = -5*k + a, 3*f - 8 = -k. Solve 25 = -f*g - 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7710, -7264, -6818?\n\"Answer: 446*z - 8156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 21 = -3*v. Let f(y) = -y**3 - 6*y**2 + 6*y + 1. Let w be f(v). Let h(q) = -q + 2. Calculate h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213429630 a multiple of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1003102331 (base 4) to base 5\nAnswer: -32310040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, -3, -13, -1\/5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/7 + 43534*x**2\/7 + 87074*x\/7 + 43538\/7 = 0.\nAnswer: -1, 21769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c - 2. Let h(y) = -1 + 23 + 14 + 96*y - 3. Give -2*h(a) - 33*k(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 25*f - f**4 + 2*f**3 - 42*f + 18*f to the form h*f**4 + x + y*f**2 + g*f**3 + b*f and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, -5, 29?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 477991*w = 477989*w - 14, -3*x - 4*w - 22 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 6. Let t(k) = -12 + 62 - 3 - 19 + k. Let m be t(i). Calculate the greatest common divisor of m and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**8\/2520 + c**7\/378 + c**6\/180 + c**5\/270 + 5*c**3\/6 - 3*c**2. Let t(w) be the first derivative of n(w). Solve t(q) = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0972837463 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 748073, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 + 521. Let h = -214 + v. Let l = 171 - h. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257 or 0.1445718?\nAnswer: 0.1445718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.6 - 26. Let q = 997 + -990. What is the second biggest value in -13, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.9588507 to three dps.\nAnswer: 17.959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 0*z + g = -174 - 87, -2*g + 21571 - 21580 = z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5314.29 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 3*q**2 + q + 2. Let m be w(-2). Calculate the remainder when 34 is divided by m + 0*(-4)\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i - 7. Let w(k) = -2*k - 6. Let b be w(-4). Suppose -12 = -b*o + 2. Let g be d(o). Solve -5*h = -3 - g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730 >= 1730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 3*d, 30 = -4*b - 3*d. Does 14 divide (-2608)\/(-56) - b\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 16*d**2 + d - 1. Let n(w) = -w**3 - w**2 + w - 1. Calculate -n(l) + q(l).\nAnswer: -3*l**3 + 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(0 + 64\/(-20)). Calculate the highest common factor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 2. Suppose 25 = 10*h + 45. What is o(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 342*v**2 + 5433*v + 19458.\nAnswer: 3*(v - 94)*(v - 23)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 1406*b - 21 = -3*m + 1409*b, -22 = -3*m + b for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5\/4, 0.0379, -5 in descending order.\nAnswer: 3, 0.0379, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - 8*i + 3. Let c be f(-4). Suppose -2233 = -2*w - c*d, -2*d - 28 = -w + 1071. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59\/4 + 91\/4. Let j = 2 - 11. Find the common denominator of (97\/3)\/(42\/j) and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 8:51 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11116437 a multiple of 537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3082 and -624.\nAnswer: -1923168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 + 5*s**2 + 3*s + 5. Let h(c) = c**3 - c**2. Let t = -411 + 412. Let n(l) = t*g(l) + 4*h(l). What is the second derivative of n(i) wrt i?\nAnswer: -6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(539) + -1)*6*3)**2 + -4.\nAnswer: -72576*sqrt(11) + 2799356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 82 = -23. What is the greatest common factor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3600*s + 1115*s - 911*s to u*s + b and give u.\nAnswer: -3396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440914462 - -19.6.\nAnswer: 440914481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -482154 at most -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13712\/(-3428))\/((-4)\/1*(-1)\/18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(4)\/sqrt(2) + sqrt(2)) - (sqrt(15)\/sqrt(3)*-6)**2.\nAnswer: -180 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1498 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-7 - (-10 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 9. Let n be 280\/12 + 4\/u. What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*d + 5*w, 4*d - 23 = -2*w - 9. Find the second derivative of -10*p + 6*p**5 - d*p + 25*p wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3 + (-450)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*b**6 - 108*b**5 - 2*b**3 + 1955182*b**2 wrt b?\nAnswer: 35040*b**3 - 6480*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*t - 3*t - 13 = 0, -t - 5 = -4*m. Solve -4 = c - 2*x, m*c = c + 4*x - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74, 437, 800?\n\"Answer: 363*j - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 22*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 - -0.5. Let c = q + 0. Suppose 11*u - 8*u + 3*b = -18, 3*u = -2*b - 16. What is the nearest to 0.1 in u, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*y - 6 = 3*w, 2*y = -w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, -1, 1\/4, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33361 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.024?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 4.4. Let g = t + -4.3. Sort 2\/7, -2\/9, g.\nAnswer: g, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*v**4 + 2 + (v**2 - 2*v**2 + 3*v**2)*(v**2 + 5*v**2 - 5*v**2) - 350*v + 350*v + 10*v**4 + 0*v**4 + v**4 - 2*v**4.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3802?\nAnswer: 2, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 5)*(-6)\/15. Suppose -5*h = -5, 4*r - h + 221 = 6*r. Let o = 112 - r. What is the closest to o in y, -0.5, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/35 - 21\/196. Which is the nearest to 1\/12? (a) 0.1 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -12*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 - -0.31. Let i = 0.4 - 0.2. What is the second smallest value in 3, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 0.7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8667 divided by -2.\nAnswer: 8667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-246)\/6642)\/(((-35)\/(-195))\/7).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*k - 2*y - 1074, -2*y + 880 = -4*k. Let v be 2\/(1*(-3)\/222). Let i = v - k. Round i to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12*-1)\/((-2)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42300 + -13028. What is the hundreds digit of (-2)\/(-15) + 11\/(660\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4 + 163500*s**3 + 2944596*s**2 - 34019232*s = 0 for s.\nAnswer: -26, 0, 8, 54518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 163.51*-612\nAnswer: -100068.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**4 + c**2 - 1. Let x(n) = -8*n**4 - 2*n**3 - 12*n**2 + 9. Let k(h) = 18*j(h) + 2*x(h). Factor k(u).\nAnswer: 2*u**2*(u - 3)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4900*v**4 + 253864240*v**3 - 261112461*v**2 + 7304929*v - 51808 = 0. What is v?\nAnswer: 1\/70, 1, 51808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*i = 26, 159*u - 156*u = 2*i - 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-19)\/((-1558)\/10086)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -518711 and 75290.1.\nAnswer: -443420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 78. Let w(g) = 4. Let q(k) = -m(k) - w(k). Give q(20).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5)*(5*h + 33*h - 66*h).\nAnswer: -140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3032216547 - -3?\nAnswer: 3032216551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7e86a (base 15) to base 4.\nAnswer: -1202201011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*v**3 - 501196*v**2 + 121*v + 1043707.\nAnswer: 48*v - 1002392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhhxhxxxhxx. Give prob of sequence xxhh.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20407006, -20407008, -20407010, -20407012?\n\"Answer: -2*o - 20407004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (9 - 3 - 4 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -66*z**3 - 2*z**2 - 19*z - 1. Let w(a) = -198*a**3 - 6*a**2 - 60*a - 3. Determine 7*n(f) - 2*w(f).\nAnswer: -66*f**3 - 2*f**2 - 13*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/3 + 65*x**2\/3 - 341*x - 363 = 0?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/3361 or -1?\nAnswer: -36\/3361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*c - 224*c - 5 = 5*m, -30*m + 94 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -2154635?\nAnswer: -2154634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.109 - 0.381. Let z = w - 0.01. Suppose 0 = -4*f + 10*f + 18. What is the closest to -0.1 in 2\/17, z, f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2997 divided by -4?\nAnswer: 2997\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 5:09 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0 + b**2 + 1\/8*b**4 + 0*b + 1\/3*b**3. What is the derivative of i(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -1.2. Are -9 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673888 (base 9) in base 10?\nAnswer: 403136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5576, 3278, -544, -5884, -12736?\n\"Answer: f**3 - 768*f**2 - f + 6344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u**2 - 11*u - 3. Let f(i) be the first derivative of -2*i**3 - 5*i**2 - 2*i - 76. Let k(c) = -5*f(c) + 4*q(c). Calculate k(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101336 = -151*i - 99524 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*t - 5*t - 2*t - 2*t + 1 - 1 + (-2*t + t + 2*t)*(0 - 2 + 3) - 2*t + 4*t + 0*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w - 70. Suppose 2*u - 6*u = -16. Suppose 2*j - u = 0, -3*i = j - 6 - 2. Solve -i*t = 3*r - 6, -2*r - 3*r = 2*t - w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 671*y - 91310. Calculate g(136).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*q = -155*q + 27. Let u be 1\/(-3) + (-110)\/(-6). Calculate the highest common divisor of u and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i - 4. Let f = -9 - -4. Is 22*(f\/i)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3480 - 3457 - (-35 + 1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let u(c) = 6*c + 2. Let p(a) = 60*a + 21. Let d = -39 - 3. Let f(i) = d*u(i) + 4*p(i). Determine f(g(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*r - 363, 4*l + 6*r - 3*r - 481 = 0. What is the hundreds digit of 1 + l + -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -2, -1\/4, 1, 1.7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 13. Give x(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 8 + 2. Solve j - 2 = -0*j, t = 4*z + 3*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2384649 + -1688370. Let m(o) = o + 15. Let x be m(-11). Suppose -z = -x*t + 1423721. What is t rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7447 - 21506 + 135448 = -1121*g for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, i: 11}. Give prob of picking 3 i and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 54*j**3 - 46*j**3 + 25*j**3 + (0*j**2 - 3*j**2 + 2*j**2)*(45 - 45 - 8*j**2).\nAnswer: 6*j**4 - 75*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1378 = -5*w, -3*w + a + 315 = -512. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 7218204.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -303.4. What is the third biggest value in -3\/2, 5, c, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 19. Let p be l(-8). Suppose 2*h - d = 3, -h - h = d - p. Solve -q = q - h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16009, -15356, -14711, -14074, -13445?\nAnswer: -12824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368864 a multiple of 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 582.16015 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 19348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -4, 1076, -0.9, -0.1, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.52 + -0.02. Let r = 0 + -1. What is the nearest to 0 in n, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a day in minutes?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 2:04 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 23*g**3 + 7*g**2 + 74*g + 14. Let f(d) = 12*d**3 + 3*d**2 + 37*d + 6. Let x(r) = -14*f(r) + 6*t(r). Find the second derivative of x(h) wrt h.\nAnswer: -180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 12*w + 9. Let y be t(-12). Suppose -12*a = -y*a - 9279. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((-1 - -2) + 0 + 16 + -11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1170, 1170, 1178, 1200, 1242?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a758d45 - 5?\nAnswer: -a758d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/15 + 3208*x**2\/15 + 181018*x\/15 + 2600372\/15 = 0.\nAnswer: -1546, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:34 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1037257403?\nAnswer: 1037257377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x**2. Let i(o) be the third derivative of o**2 + 97*o + 3\/8*o**4 + 0 + 0*o**3. Calculate r(i(f)).\nAnswer: 810*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.47 - -22391.081?\nAnswer: 22485.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*b**2*m - b**2*t - 9*b*m + 4*b*t**2 + m*t**2 + 3*m*t wrt t.\nAnswer: -b**2 + 8*b*t + 2*m*t + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/3 + 2278*s. Let b(t) be the second derivative of 3*t**4\/4 - t. What is b(a(l))?\nAnswer: 144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 31*f + 32. Let q be v(30). Suppose -q*s + 536 = 4*x, 0*s + 5*x = -s + 259. List the prime factors of s.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74152.59 - -74924. What is p rounded to zero dps?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 48, 22, -4, -30?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9980 divided by 3.\nAnswer: -9980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m + 8. Let q be b(-4). Let p = -18 - q. Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*q - 600, 10*v - 12*v - 4 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f**2 + 31*f**2 - 15*f**2 - 429 - 105*f - 12*f**2 - 282 wrt f.\nAnswer: -2*f - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 5:32 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 14 = -3*g. Let m(z) = 4 + 2 + z - 2. Is m(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 30258258?\nAnswer: -5\/30258258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3752687.2 * -3.\nAnswer: 11258061.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/805 and (-17190)\/(-525) - 16 - 17.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2192.01 - -2199. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by (-326)\/(-16) - (354\/48 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 5. Let u = -283 + 278. Let o(v) = -1 - 3*v + 2 + 4*v + 0. What is u*o(c) - l(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5295 and 1209025.\nAnswer: 3627075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 2*g**4\/3 - 4*g**2 - 5*g. Differentiate d(o) wrt o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11973 + -239373\/20. Find the common denominator of y and 101\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 8:47 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209751 + 537575 = 66*k - 10*k. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2. Let f(x) be the second derivative of 775*x**3\/6 - 96*x + 8. Calculate f(c(q)).\nAnswer: -3875*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*98.862\nAnswer: -29.6586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -75, -2, 2, -20 in decreasing order.\nAnswer: 2, -2, -5, -20, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10067853.\nAnswer: 3, 19, 176629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -504*j - 18*j**2 + 504*j + (8*j - 3*j - j)*(-2*j + j + 3*j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37333 or 37352?\nAnswer: 37352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.971 + 39.82. What is b rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 2*p**5 + 4*p**5 + (0*p + 2*p - p)*(1 - 1 + 2*p**4) - 35*p**3 + 24*p**5 + 35*p**3 + (3*p + p**4 - 3*p)*(-p + 5*p - 3*p).\nAnswer: 30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 > 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40872482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -7, 2\/5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -76. Suppose -5*m + c = -4*m. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/2)\/r*r)\/r)**30\/(r**(-6)\/(r\/(r*r*r\/r**2))) assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -344 + -229?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.431 - 12.621. Which is the nearest to -2\/9? (a) -1\/4 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 4*l - 1)*(3 - 2 + 1) - l + 0 + 0.\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -2*s**3 + 4*s - 1\/2*s**4 + 2\/5*s**5 + s**2 + 2. Find t, given that p(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -45) + 1 + -19 + 0 - (128 + -13)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/(sqrt(72)\/(sqrt(9)*2)))\/(sqrt(392)*1*-3).\nAnswer: -2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40003 (base 5) in base 9?\nAnswer: 3381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 3*m**4 + 7*m**3 - 7*m**2 - 18*m - 8.\nAnswer: -(m - 4)*(m - 2)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 92, 103, 110, 113?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9764.884 nanograms to grams.\nAnswer: 0.000009764884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1028 at least 879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5305 = 5*u, -3941 = -4*l + u + 3121. Let m = 2525 - l. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -44*g + 21. Let k(h) = -29*h + 14. Give -7*k(f) + 5*v(f).\nAnswer: -17*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/1309*21\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = z - 9200. Suppose 2*w - f - z = 2*f, 3*w - 2*f = 1735. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 34\/260783?\nAnswer: 34\/260783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29912*x**4 - x**3 + 17*x**2 - x + 7881437 wrt x?\nAnswer: -358944*x**2 - 6*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 0*u**3 - u**3)*(-u - 2*u + u) - 4*u**4 + 0 + 0 + 17 - 11 - 9 - 47*u**4.\nAnswer: -49*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 623 - 289. Let n = -231 + d. List the prime factors of n.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063 - 123. Calculate the greatest common factor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -648, -2676, -6056, -10788?\n\"Answer: -676*z**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.94723 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r - 3*r - 7*r)*(-72 - 54 + 169) in the form l + m*r and give m.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 1, 1\/21, -3\/397?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 + 0) - -2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3368*k*s**2 - k*s - 4037*s wrt s?\nAnswer: -6736*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 5. Suppose d*x = x. Factor 0 - 1\/4*h**2 + x*h - 1\/4*h**3.\nAnswer: -h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3624.416 kilometers to nanometers.\nAnswer: 3624416000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12049.69 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3102*m + 243*m**2 - 5774*m - 240*m**2 + 2672*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 8*c + 8 = 0. Let k(s) = 1 - c + 2 - s + 2. Let b(x) = x + 10. Let l(v) = -v - 1. Let d(q) = b(q) + 6*l(q). Determine -d(h) + 4*k(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219 rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 + 0*a - 9*a**2 + 2*a to d + t*a + c*a**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2742, 2744, 2722, 2664, 2558, 2392, 2154, 1832?\nAnswer: 1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1741*r**4 + 6*r**3 + 14*r + 1547?\nAnswer: 20892*r**2 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1198, -1215, -1232, -1249?\n\"Answer: -17*r - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34706?\nAnswer: 2, 7, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3\/4 + 29459335*a**2\/4 + 58918655*a\/4 + 29459325\/4.\nAnswer: 5*(a + 1)**2*(a + 5891865)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let f(s) = 14*s**2 - 2*s - s**3 + 13*s**2 - 29*s**2 + 3. Give f(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -4430, -4, 200?\nAnswer: -4430","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25475507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z + 21. Let y(x) = 2*x - 5. Determine 2*i(o) + 9*y(o).\nAnswer: 4*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = l + 38. Calculate the highest common factor of l and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 0.2 (c) -1\/8 (d) -14 (e) 6\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from gsggggassgassagwaggg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -31*z - 3. Calculate the remainder when a(-5) is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69049*v**2 + 154824*v.\nAnswer: -138098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 15, 4*v + 0 = 4*q + 8. Suppose 0*d - 12 = -q*d. Suppose -d*i = -16, -a - 4*i + 29 = 8. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (254 + -251 - (1 - -3)) + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 9 - 19 = 0. Is h at least as big as 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-4 - 8) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 744 - 17108\/23. Does 1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 7, 94 in descending order.\nAnswer: 94, 7, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 346170?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 1. Let j be y(3). What is the lowest common multiple of 1 + 6 - (-3)\/(-9)*3 and (2\/4)\/((-1)\/j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*v + 18, -3*i = v - 1 - 14. Let b(o) = o**3 - 7*o**2 + 8*o + 3. Let h be b(i). Suppose -2*a - h = -5*a. Solve -a*c - 10 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246530 + -246529.690598. Let r = t - 29.304702. Let z = 29 + r. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2577*d + 211*d + 21294 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65344064 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**6\/150 + 113*x**5\/100 + 1721*x**4\/30 + 2178*x**3\/5 - 20412*x**2\/5 - 2271*x. Factor j(t).\nAnswer: (t - 2)*(t + 7)*(t + 54)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 2\/9, 1.7, 13, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62231756914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let q be (24\/(-15))\/((-2)\/5). Let r = q + -2. Let m(s) = -s + s + s**r. Determine z(m(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -440.52 less than -5669478?\nAnswer: -5669037.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (22 + -23 + 10). Suppose u + 2 = 7. What is the remainder when 28 is divided by 1*(77\/u + w\/20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by ((-22)\/8)\/((-9)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 88*y**2 + 48*y - 150. List the prime factors of i(79).\nAnswer: 3, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/3*(144 + -147). Which is the closest to -2\/3? (a) -1\/4 (b) -4 (c) 8 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-48)\/10)\/4)\/((-15)\/200). Calculate the highest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805000 rounded to the nearest ten thousand?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -39. Let a be v + 3\/(-1)*2\/(-6). What is the first derivative of 6*x**4 + 10*x**4 + 7 - a*x**4 wrt x?\nAnswer: 52*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27154003 (base 8) to base 5\nAnswer: -3024201421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*-15*(-2 - 0). Let f = o - -15. Let c = f - -37. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -14. Suppose 1 = -f*n - 17. Let m be n\/(-24)*4 + 7\/2. Sort m, -6, 2 in ascending order.\nAnswer: -6, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.18 + -0.18. What is the second smallest value in 0.1, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1 + 4)*1.\nAnswer: 3 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61016149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 52010, 4 in ascending order.\nAnswer: 4, 33, 52010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/8 - (13420\/352 - 38)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 3113?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l - 194. Let q = l + 147. Let x be (120\/q)\/((-6)\/(-20)). Which is smaller: 7 or x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3267) - (sqrt(3267) - (2 + sqrt(3267)))) + (sqrt(3267) + -1 - sqrt(3267)) + -5 + sqrt(3267))**2*-2.\nAnswer: -26298 + 2376*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 3*c - 8, -r + 641 = 4*c + 680 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 151 = n, 5*b = -n + 36 - 403. Suppose 0 = 10*w + 643 + 87. Is b less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-1)\/2*-3*152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.25 + -54.25. Let t = 6 + -53.6. Let b = t - q. Round b to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1468*a**4 + 2*a**3 - 2*a**2 - 216*a + 207971 wrt a?\nAnswer: 5872*a**3 + 6*a**2 - 4*a - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1277 = 3*a - 3*q, q = 2*a - 852. Let o = a + -295. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1002063\/4 - 252341. Let n = -1814 - x. Let d = 1221\/28 - 258\/7. What is the common denominator of d and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*y + 63. Let j be 2 + -1 + y\/26. Let l = 217 + -215. What is the third smallest value in -13, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 9. Let k be d(-2). Suppose -2*s + k*s - 120 = 0. What is the units digit of ((-12)\/s)\/((-2)\/264)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57527358 divided by 1022?\nAnswer: -56289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7426 divided by -19?\nAnswer: -7426\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -549*d**2 + 1622*d wrt d?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*h - 9. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86637 is divided by 818.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -24. Suppose 2 = -h - l + 6*l, -3*h - 5*l = s. Let v be h\/(-2 + (-27)\/(-12)). Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-8))\/((-20)\/40)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352999 = 2*s + 5*g, 6*s - 2*g + 393523 = 1452503. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2 + 2*b + 3*b**3 - 4*b**3 + b. Let n be 120\/(-66) - 14\/77. Give q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbvkxvjxkqv. What is prob of sequence kb?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228 + 235*y - 3732 + 1254 + 3*y**3 + 1252.\nAnswer: 3*y**3 + 235*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (6 - 5 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7740.82799 rounded to 0 decimal places?\nAnswer: -7741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 16*g**2 + 50*g + 268. Does 36 divide b(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 41*y + 221. Let x be d(36). Suppose -4*f + 179 + x = 0. Calculate the lowest common multiple of 120 and f.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5 - 24*a**4 + 102*a**3 + 24*a**2 - 99*a = 0?\nAnswer: -11, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*t*y**4 - 2*t*y - t - 5*y**4 - 65*y wrt y?\nAnswer: 120*t*y**2 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/5 - 1148*s**3 + 891354*s**2\/5 - 5957532*s\/5 = 0. What is s?\nAnswer: -3018, 0, 7, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/5)\/(3\/30). Solve -2 = 4*v - n*h, -v - 2 = 5*h + 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -86, -229, -520, -1037, -1858, -3061, -4724, -6925?\n\"Answer: -13*r**3 + 4*r**2 - 64*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 5)*(1091*m - 1091*m - 9*m**2) + (-2 + m + 2)*(1 - 1 - 2*m) as f*m + r*m**2 + w and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 8*v + 5. Let y be j(8). Let a(q) = -7*q**3 - 5*q**2 + 5*q. Let g(i) = -4*i**3 - 3*i**2 + 3*i. Calculate y*g(b) - 3*a(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -624557 + 5005861\/8. Let q = 1173 - u. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 - 3) - (-1 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.3. Let y = w - -4.9. Let p = 3 + -2.8. Sort 1\/4, y, p.\nAnswer: p, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2639 and 208.\nAnswer: 42224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12104 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, 3, 1\/7 in decreasing order.\nAnswer: 3, 2, 0.5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 5*f**2 - 5*f + 3. Let c be -8*(-3)\/12*-3. Let k = c - -4. Let s(w) = -4*w**2 - 6*w + 2*w + 86 - 84. Give k*r(g) + 3*s(g).\nAnswer: 2*g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 437003 plus 18006215?\nAnswer: 18443218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127711, 132402, 137093?\n\"Answer: 4691*t + 123020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 13*z - 117. What is q(-18)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 396944871 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 37. Let y be f(25). Which is bigger: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-576)\/(-20)*50\/15. Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/55272*-47*((-36)\/(-84))\/((-3)\/2)?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 17 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -209 + 398 + 658*u - 189 as i + v*u and give v.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b. Let v(l) = -7*l. What is 4*j(s) + 5*v(s)?\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13448 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: Which is smaller: -22558 or -1\/80?\nAnswer: -22558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -y - 2*t, -4*y - 5*t + 3*t + 2682 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -22 - 0*(-2)\/8. Is j equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1386650*i**6 + 2*i**3 - 24*i**2 - 11691*i.\nAnswer: -166398000*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 11*c**7\/21 + 109*c**4\/12 + c + 6. Find the third derivative of l(t) wrt t.\nAnswer: 1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, k: 1, v: 1, i: 1}. What is prob of sequence kmi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/12 + 5*v**3\/2 - 3*v**2\/2 - v. Let c(p) be the first derivative of a(p). List the prime factors of c(-12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/153527765 and -27\/90310450?\nAnswer: 1535277650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92148000 divided by 24.\nAnswer: 3839500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-581)\/420 - (-4)\/3. What is the smallest value in -0.4, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -9\/32 (b) -98 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 5*t**2 + t + 10 + 13*t**2 + 0*t - t**3. What is the smallest common multiple of 6 and q(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 0 = 5*d + 2*y + 13 - 1, 2*y - 2 = 2*d. What is the remainder when b is divided by -2*(-5 - d - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5}. 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 u(n) = -2*n + 5. Let o be u(-5). Let k(c) = 4 + 1 + 1 - c. Let g be k(0). What is the highest common factor of g and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from djjdwdjwldjlllw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from xxuxxxxxxuxuxxxxuxx?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 2*b + 3. Let l(v) = 3*v**2 - 3*v - 5. Let q(r) = -7*c(r) - 4*l(r). Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3 - 1320*p**2 - 4106*p + 2 wrt p.\nAnswer: 6*p - 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -842 - -727. Let s = 121 + n. Let g(k) = k**3 + 3*k**2 - k. Let c be g(-3). Sort c, -3, -5, s in decreasing order.\nAnswer: s, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-2) + 37\/(629\/(-136)). Solve p - l*f - 24 = 0, -2*f + 0*f = 2*p + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 + (-4 + 4 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - i)*(2*i**3 + 3*i**3 - 3*i**3) - 1124 + 74*i**4 + 1124 - 5*i**4 + 0*i**4 + 2*i**4)*(1 - 4 - 2).\nAnswer: -345*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:51 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 16}. Give prob of picking 2 a.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 6 = -5*p. What is the least common multiple of 18 and (1 - -5)\/(-3) + p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 152 = -154 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*m - 1\/2*m**2 - 800 = 0. What is m?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -9*u + 8*u - 26, 3*s = 6. Is (-86889)\/u + 15\/(-6) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 - (-14 - (29 + -35))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:32 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v + 197 = -154 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**3 + 14013*h**2 + 6994642 wrt h.\nAnswer: 6*h**2 + 28026*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176089, 704397, 1584923, 2817667, 4402629, 6339809, 8629207?\nAnswer: 11270823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001433898461 to five dps.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 (base 3) in base 10?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*z**3\/9 - 76*z**2\/9 - 88*z\/9 + 16\/3.\nAnswer: -2*(z + 2)*(z + 6)*(5*z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3405*y**2 - 1471*y - 5864. What is the thousands digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5 + 4 + 3 + 5*p**2 in the form c*p**2 + z + x*p and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -234855.4517?\nAnswer: 234855.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - 10. Calculate the smallest common multiple of (y\/10)\/(2\/(-10)) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = -5*l, l - 42 = -4*z + 2. Let c = 36 - z. Calculate the remainder when 95 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:05 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -18775*c - 56320. Determine b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 25*v + 6. Let b = 270 - 279. Let u(n) = 11*n + 3. Let q(d) = b*u(d) + 4*z(d). Determine q(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -8. Let f = 10 - w. Let j be ((-4)\/10)\/((-2)\/20). Solve 0 = -j*v - f*v, -3*i - 2*v = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjnwjlrjrwqrqwj. What is prob of sequence jr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let p be ((-12)\/5)\/(6\/(-75)). Suppose -5 + p = -5*y. Let c be ((-8)\/y)\/((-4)\/(-10)). Determine a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -952 by 136.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1316 = -8*k + 9*k. Suppose 127*b - k = 123*b. Is 47 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 6*a - 25. Solve 3*s = -2*s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 2\/7*q**3 + 0*q + 0 + 1\/42*q**5 + 13\/84*q**4 - 77*q**2. Factor s(b).\nAnswer: 2*(b + 2)*(5*b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 647377789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 = 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3*u - 4*r**3 - 11*r**2*u + 698*u with respect to r.\nAnswer: -9*r**2*u - 12*r**2 - 22*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(21)\/sqrt(3))**2*-1 - sqrt(7))*-2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 12. Suppose -3*t + 9 = 2*d - 0, w*d = 5*t + 4. Suppose -3*n + 0*n = -d. Solve 4*g = n + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*h + 1. Sort -3, -5, h, -11 in decreasing order.\nAnswer: h, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06745 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96009 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -6. Suppose w = 3*g - 2*g. Suppose -g*o - 15 = o, 45 = 5*a - 4*o. Solve a*j - 16 + 41 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2151 (b) -0.2 (c) 1\/1212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3834 and 17543958.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 373 + 6*c**2 - 377 - 3*c**2 as j*c + q*c**2 + m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 + -1.41. Let i = -1.239 - u. Let x = -0.049214 - i. Round x to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2150509 rounded to the nearest 1000?\nAnswer: -2151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + 8\/44. Let y be (-2)\/1 - (b - 12). Let d = 48 + -18. What is the highest common factor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13216 or 224675\/17?\nAnswer: 224675\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 13. Solve -3 = n - r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f**2 - 2*f + 7. Let r(s) = 33*s**2 + 4*s - 4. Let d(i) = 24*i**2 + 3*i - 2. Let o(g) = -6*d(g) + 5*r(g). Calculate 6*n(m) + 5*o(m).\nAnswer: -21*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4) + -5)**2 + -3 + (sqrt(2) - (sqrt(2) + -1)) + sqrt(2)*-2*4.\nAnswer: -28*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 3*i - 39764 + 5*i + 39756 + (i**2 - 4*i**2 + i**2)*(0 - 7 + 0 + (2 - 3 - 1)*(-4 + 1 + 2)).\nAnswer: 15*i**2 + 2*i - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o - 4*t - 1304 = 0, 0 = 5*o + 4*t - 3246. List the prime factors of o.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 9*l + 0*l - 12*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)*m**(-20)*m assuming m is positive.\nAnswer: m**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235617, -235615, -235613, -235611, -235609, -235607?\nAnswer: -235605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*s**2 - 595*s**2 - 497*s**2 + (-3*s + 4*s + s)*(s - 2*s - 2*s) + s**2 + 0 + 0.\nAnswer: -965*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 1:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**3 - 290*g + 290*g)*(3 + 2 - 6)*(70 + 73*g - 70)*(-1 + 3 - 1) to v*g**2 + s*g**4 + r*g**3 + l*g + u and give s.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11502 + 6.64698. What is h rounded to 1 dp?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22483.335 + -22565.335037. Let g = t - -82. Round g to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 3, b: 1}. What is prob of sequence clcb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 110 + 12*t**3 + 110.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97090 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 81031483?\nAnswer: -81031482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 + 272382*h**2 - 544758*h + 272378 = 0. Calculate h.\nAnswer: 1, 136189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 3. Let j(h) be the first derivative of 14 + 1\/2*h**2 + 0*h. Calculate 3*j(q) - s(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1041*f + 3185. Let b be t(-3). Solve -55*i + b*i = -49 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 35 = -17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 396277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 97*n + 21*n to the form w + b*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14944 - 7647. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 + 20*j**2 - 5*j + 14. Let q be p(6). Let r = q - -232. Calculate the highest common divisor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -15 (b) 12 (c) -2\/129 (d) 5 (e) 0.3 (f) 1\/5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11))**(2\/43)\/(x**(-1\/2))**(2\/9) assuming x is positive.\nAnswer: x**(437\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714738.\nAnswer: 2, 13, 193, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 76254*a + 457529. What is v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778496*s**2 + 2*s + 778476*s**2 - 1556979*s**2.\nAnswer: -7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101101 (base 2) to base 7.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*f - 136. Let m(w) = 7*w**2 + 3*w - 1. Let h be m(2). Calculate the greatest common divisor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100165.7652 or 2?\nAnswer: 100165.7652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -4 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 259, 610, 1135, 1840, 2731, 3814, 5095?\nAnswer: 6580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51156579*l**3 - 24946656*l**2 + 2*l?\nAnswer: 306939474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*-2)\/sqrt(12).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 30 + 37)*(9*h + 3 + 11*h - 5 - 14*h - 17).\nAnswer: 444*h - 1406","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 46*f + 67. Determine g(25).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277579\/6 + 67\/3. Let i = -45331 + m. Let q = -917 + i. Find the common denominator of -91\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n + 442. Let l = -281 + n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b + 138*b**2 + 137*b**2 - 40*b in the form o*b + k + z*b**2 and give z.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18\/(-25 + 22)*-189 and 3780?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**2 + 14*o**2 + 4 - 4.\nAnswer: 31*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9537a (base 13) to base 12.\nAnswer: -2b49539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19656, 24, -9 in ascending order.\nAnswer: -19656, -9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 7. Let m = 13 + -19. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21076 + -376?\nAnswer: 20c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 28*z - 32 = 0. Is ((-757)\/2)\/(z\/32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 8 - 9 - 5 + u - 11*u**3 + 4*u**3 + 26 to j*u + s*u**2 + l*u**3 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65962?\nAnswer: 2, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81890, -163440, -244990, -326540, -408090, -489640?\n\"Answer: -81550*y - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5.8\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {b: 1, a: 1, f: 1, u: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21732 rounded to three decimal places?\nAnswer: -2.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.1 * 10710.\nAnswer: -568701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10850*t - 32543. Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let z(s) = 19*s - 731 + 731. Calculate z(j(d)).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - m + 1. Let r(i) be the third derivative of -i**5\/60 - i**4\/24 + i**3\/3 + 25*i**2. Let n(p) = -5*o(p) + 4*r(p). Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55685588 divided by -4798?\nAnswer: -11606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:52 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3210*p**2. Let o(b) = 2*b. Calculate w(o(k)).\nAnswer: -12840*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 19, 0.9, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10628388 is divided by 5314192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*m**2 + 225*m**2 + 3 - 3.\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34283 (base 10) to base 15\nAnswer: a258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/9*36\/5. What is the common denominator of 85\/(1 - 2 - 7) and (20\/z)\/((-4)\/114)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*l - 17 + 17.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*l + 36*l**2 - 162*l)*(-2*l + 1 - 1) - 95*l**3 + 30*l**3 + 44*l**3.\nAnswer: -93*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 191864\/14442 + 32\/664\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-180))\/(11\/(-132)). Is k <= -333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 1. Let n(g) = 2*g**2 - 24*g - 6. Let x(p) = -4*j(p) + n(p). Let a be x(-11). Solve -2*w + 2*z + 6 = -4, a = 4*w - 2*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-36)\/27*(-36)\/(-32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**25*y*y\/(y**(-20)*y))\/(((y\/(y\/((y*y\/y**13*y)\/y*y)*y))\/y)\/(y*y*(y\/(y\/y**(-8)*y))\/y)) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135.57 + 140.57. What is the closest to -3\/4 in s, -3, 0.2, -16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*d + 378*d + 375*d + 399*d + 373*d + 377*d - 2278*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 6631\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:37 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.602461um to meters.\nAnswer: 0.000008602461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -0.7. Let n = -2.2 + p. Sort -0.3, n, 2 in ascending order.\nAnswer: n, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - 2*l**2 + 1. Let c(t) = t**2 - 6*t + 6. Let u be c(5). Let k(i) = 13*i**2 - 1. Calculate the least common multiple of m(-1) and k(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzyy when four letters picked without replacement from {o: 3, y: 5, p: 1, z: 6, u: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-264) + 87\/(-319))*(-3)\/(-12)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2668*z - 16001. What is k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23108 is divided by 188?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:19 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583050159 - 0.114.\nAnswer: -583050159.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1*-86*(-2)\/(-4))\/((-62)\/4464*-72)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9611 = -222*w + 215*w. Does 94 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1650\/1375)\/(5 - 516\/90).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2913.8692 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {j: 3, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z = 75*z - 2*b - 22269, -5*z + 22266 = -3*b. Is z a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2229012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d**2 - 16*d**2 + 2*d**3 + 2*d**3 + 2)*(0*d + 0*d + d**2).\nAnswer: 4*d**5 - 2*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/10 - 11*m**4\/12 - m**3\/6 - 9*m**2\/2 + 14*m + 35. Let a(d) = -d**3 - 6*d**2 - 5. What is -5*a(i) + 3*b(i)?\nAnswer: -i**3 - 3*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20501204 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -451, -714, -983?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 10. Let w(i) = i + 13. Let d be w(r). Suppose d*o - 2*h = 86, -o + 3*o + 2*h - 74 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 13*a**2 - 12*a + 9. Suppose -2*h - 2*f = 16 + 4, 5*f - 10 = 0. Is s(h) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(-1\/2)*s)\/s)*s*s**(-2\/73)*(s*s\/(s\/(s*s\/(s\/(s*s**(1\/5))))))\/(s\/(s\/(s**(-3\/5)\/s))) assuming s is positive.\nAnswer: s**(5309\/730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(26 + -2) + (-7)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c**3 - c**3 + 5*c**3 - 2*c**3 + (-c - 2 + 2)*(c**2 + c**2 - 3*c**2))*(5*c**2 + 4*c**2 - 7*c**2).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15774, -30963, -46152?\n\"Answer: -15189*j - 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g - 20 = -12 + 80. Sort g, -39, 4 in descending order.\nAnswer: 4, g, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 8. Let v be ((-2)\/(-10))\/(u\/(-20)). Sort 0.3, -1\/2, v in decreasing order.\nAnswer: v, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63679, -63680, -63681, -63682, -63683?\nAnswer: -63684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -558286 or -558287?\nAnswer: -558287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291 + 302.7. Let i = -0.7 + x. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17) + 1 + sqrt(17) + 0)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60924 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2480 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80396.11nm to millimeters.\nAnswer: 0.08039611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 1.3. What is the closest to 2 in r, -1, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-7\/4)\/(r*r**8*r*r*r*r*r*r*r**(-12)) assuming r is positive.\nAnswer: r**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/((-40)\/(-15)*153\/12))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 8*d - 6*d + 15*d)*(3*d - 2*d - 3*d) to the form k*d**2 + x*d + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3. Let s(y) = y - 5. Let a(j) = -3*s(j) - 5*w(j). Let d(o) be the first derivative of -o**2\/2 - 2. Determine a(d(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/5 - -27\/10. Let k = 0.2 - -0.8. What is the closest to k in y, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 2. Let o be d(2). Let f = o + 0. Let y = 0.28 - -0.02. What is the nearest to 2\/5 in -5, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 936528319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) - (34 + -2). Let q = -990 - -662. Find the common denominator of 109\/12 and ((-27)\/48)\/(f\/q).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 2*d - 4*d. Let p(w) = 2*w - 6. Let l = 409 - 403. Let a(v) = 6*v - 14. Let r(h) = l*a(h) - 14*p(h). What is s(r(o))?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by (-329 + 352)*(-14)\/(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-1 + 5) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/2)\/((-550)\/300).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 15, -7 = -2*l - 2*c + 7. Let k be (10 - 4)\/(3\/l). Let g(h) = h + 5. Calculate g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-4 + sqrt(204)\/(sqrt(48)\/sqrt(4)))*4)**2 + ((sqrt(1700) + 0 - sqrt(17))**2 + 5)*-4).\nAnswer: -25000 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 (base 10) in base 9?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -81, -1, 4 in increasing order.\nAnswer: -81, -1, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -1. Let p = -14.4 - -84.4. Let f = 53 - p. What is the biggest value in b, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/(-3*(-3)\/90). Let p(d) = d**2 + d - 66. Calculate the remainder when 50 is divided by p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let b(p) = -8404*p. Calculate o(b(q)).\nAnswer: 8404*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 54. Let c = k + 88. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17128, -64 in decreasing order.\nAnswer: 3, -64, -17128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 6*y - 67. Let b be d(-6). Sort -5, 7, 4, b in decreasing order.\nAnswer: 7, b, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 1152\/7. Let y = 26215 + -26214. What is the closest to y in m, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 51 = -r - 34, -b + 5 = 5*r. Let k(j) be the second derivative of -1\/3*j**3 + 0*j**r + 9*j + 0. Give k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2755 divided by -551\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + h)*((-2*h + 5*h - 8*h)*(4*h + 0*h - 15*h) + 66*h**2 - 307*h + 307*h).\nAnswer: -121*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 2. Let v be r(-4). Let w be (-1)\/(-2)*(1 + 3). Let g be -1*w\/(-3)*9. Solve v = l - 3*j, 0 = l - g*l - j - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.05 - -0.05. Let a = 9 + w. Let p = -4 + 6. Sort a, -0.2, p in descending order.\nAnswer: a, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from sollhltsloasalss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 + 189*x**3 - 2*x**2 - 4*x - 190*x**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 6:19 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 - (-5)\/16. Let i be 0 - ((-93)\/(-80) + -1). Let d = l + i. What is the smallest value in -3, d, 6\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g + 2 - 14*g - 15*g + 53*g + 4*g**2 - 12*g + 15*g**3 as m*g**3 + v*g**2 + n*g + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3*o*o)**(2\/39) assuming o is positive.\nAnswer: o**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*t - 20*t - 4*g - 69, 0 = t - 5*g - 66 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*z, -2*z = -7*c + 12*c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let y(n) be the first derivative of 14*n**3\/3 + 2. What is y(u(d))?\nAnswer: 56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*t + 277*t = 55. Suppose -x = 2*u - 4*u - 2, x - t = -u. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)*(0 - (-6)\/(-15)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 123*j**2 + 5*j + 5. Let l(c) = 246*c**2 + 9*c + 9. Let g(b) = 9*i(b) - 5*l(b). Let u(p) = -4*p. Give u(g(w)).\nAnswer: 492*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3570*-0.114811\nAnswer: -409.87527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8961, 17913, 26855, 35787, 44709, 53621, 62523?\n\"Answer: -5*j**2 + 8967*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3)\/(2\/10). Suppose v = -5*o, -4*v + a*o = -v - 40. Suppose -10*t - 50 = -70. What is the least common multiple of t and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-12 + 26) - (0 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -786.2 times -9\nAnswer: 7075.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 193199683 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b + 4*g, 4*b - 4*g - 88 = -0*b. Let r(d) = -9*d + 388. Calculate the remainder when r(38) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/2 + 91*n**2 + 4121*n\/2 - 140014 = 0 for n.\nAnswer: -137, -73, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034334*p + 525 - 525.\nAnswer: -1034334*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*c + 87349, -4*c - 67 + 87 = 0. What are the prime factors of u?\nAnswer: 2, 3, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -2 + (6 - 2). Suppose -2 - 1 = -j. Solve m = -8*t + j*t - 3*o, 2*o = -10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -17. Let p = v + 1. Let z(i) = i**2 + 11*i - 1. Does 4 divide z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/8)\/((-1)\/24). What is the remainder when 57 is divided by ((-58)\/(-8))\/((-3)\/c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 549848238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -1 + -3) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25 - 515*a**4 + 2 + 12 + 12*a - 5 - 9 wrt a?\nAnswer: -6180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*p + 5*h, -h - 4*h = -2*p - 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 - 5*n. Let q be 8 + (-680)\/90 + (-1)\/(27\/201). Let y(f) = 2*f**2 + 2*f. Calculate q*y(a) - 3*u(a).\nAnswer: -5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 x when three letters picked without replacement from {e: 9, x: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + 46\/3. What is the tens digit of (-27)\/(-4)*x\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*j - 8, -16 = -j - 5*a + 6. Suppose -j*z + 6*z + 47 = -b, -z - 4*b + 72 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-52) + 111608\/104 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g = -180 - 50 - 4 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 23 = 3*p. Let f(h) = h**3 - 5*h**2 - 3*h - 1. Let j be f(p). Suppose 0*u - 4*u + j = 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 2:40 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 308*g + 5005 + 8376 = 3637 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -545 (base 8) in base 15?\nAnswer: -18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.088 (b) 1\/2 (c) -0.2 (d) 9 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a millisecond in microseconds?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43, 38, 29, 16?\n\"Answer: -2*g**2 + g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*b + 1512 = 100*b - 81*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 - 195. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 14*m - 9. Suppose -2*t = -37*x + 38*x - 159, -m*x - 165 = -2*t. Calculate the highest common divisor of t and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217\/391 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 15088828*s\/7 + 28459091301698\/7.\nAnswer: 2*(s - 3772207)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5303*o - 811. Does 17 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*m + 5, 0 = -v - v - 6. Let p be 2\/2*(-6)\/18. What is the third smallest value in m, -1\/5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.69.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1009030.8216 to the nearest 10.\nAnswer: -1009030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zynzdddddddnnyndn. What is prob of picking 2 d?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1627128)\/(-44) + -2 - 28\/154. Suppose -5*n = -2*l + w, 6*l - 3*l - 55509 = -3*n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 176.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.067725 and 0.07.\nAnswer: -0.00474075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 - 189. Suppose i*n - 99 + 9 = 0. Solve -3*j + 3 = n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141405 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: Solve -25256 = -1398*y + 496*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -1 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l**(2\/13)*l*(l**(2\/5)\/l)**(-4\/7) assuming l is positive.\nAnswer: l**(2501\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3796 - 3832 = -12*u. Solve -2*d + 5*l = 21, 3*l = u*d + 6*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c**2 + 4 + 8*c**2 + 6)*(-1 + 0 + 2)*(-3 + 1 + 1) + (4*c - 3*c - 2*c)*(-2*c + 5*c - 2*c).\nAnswer: 2*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than -6\/5767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 8*n - 4*t - 48, 5*n = -4*t - 48 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:11 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 21*c + c**2 + 2 - 24*c - 2*c**2 + 2*c**2. Let i = -221 + 224. Determine t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1104.\nAnswer: -331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3571881407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15097, 30342, 45597, 60868, 76161, 91482, 106837?\n\"Answer: z**3 - z**2 + 15241*z - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(15\/5))\/((-6)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b20 - -6?\nAnswer: -b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-7) - (-6)\/3. Let h be (l\/2)\/((-15)\/(-50)). Suppose v = j - 27 - 59, 0 = 4*j + h*v - 344. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10173 - -93?\nAnswer: -10090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 0*w**2 + 359*w**4 - 725*w**4 + 2*w**3 + 358*w**4 as v*w**2 + z*w**3 + a*w + k + h*w**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from hhhhhhhhdhdhhhhhhhhh?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*(-16)\/24. Let x = 5.56 - 6.46. What is the closest to l in 1, -2\/13, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*f - 5 - 17, -2*z - 6 = -2*f. Calculate the remainder when 318\/z*(-3 + 7\/3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c + 8 = 22*c. Let n(q) = q - 1. Let u be ((-4)\/(-8))\/((-1)\/2). Let v(m) = -m**2 - 2*m + 2. Calculate c*n(i) + u*v(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 14*q - 6. Let j be z(6). Suppose 4*m = 2*p - 16, 5*p + 3*m + 19 = -j. Are p and -17\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*p = -2*i + 334, -4*p + 4 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 446194*i\/3 + 70548580\/3.\nAnswer: -2*(i - 223255)*(i + 158)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -166, 8, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 14530 = -42586. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 41. What are the prime factors of 52\/(-6)*c\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 equal to 23520\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 + 2*g**2 + (2*g**2 + 1 - 1)*(2 - 3 + 2) + (-3 + 3 + 2*g)*((-1 + 0 + 3)*(2*g - 3*g - g) + 6*g - 4*g - g - 6*g + 11*g + 16*g).\nAnswer: 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -1\/2*q**3 + q**2 + 0 + 5\/24*q**4 + 0*q. What is the remainder when 34 is divided by t(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*n - 2 = 20, -3*w - 4*n = -28. Let t(o) = o**2 - 14*o - 31. Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z + 1533 = 6*z - 151*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 36 = -5*f, 4*i + 4*f = 3*i - 12. Let t be 18\/(10\/i + -1). Let h = t - 8. Solve 4*c - h*r - 19 = r, 0 = -2*c - r - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:18 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/96 and 745\/12*(60\/(-160) - (-2)\/5).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -27*h**2. Let p(l) = -23869*l + 47743*l - 23863*l. Determine y(p(v)).\nAnswer: -3267*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 8*k - 4. Let a be z(4). Let v = a - -28. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902727533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004676 is divided by 2915?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 13*l - 13. Let y be s(1). What is b in -1 - 92*b + 3*b**y + 83*b + 7 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -42*m**5\/25 - 52*m**4\/5 - 112*m**3\/5 - 96*m**2\/5 - 32*m\/5 - 63. Let w(p) = 0. Calculate p.\nAnswer: -2, -2\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 281 in -0.5, 8\/191, -4?\nAnswer: 8\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, 0, 5, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from igdrhddidghbd.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.630763km?\nAnswer: 6630763000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 1. What is t(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264*r + 95*r**2 - 264*r)*(-9876 + 82*r + 9876).\nAnswer: 7790*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33570792 and -5.\nAnswer: -5.33570792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*c = 107*c. Factor c*y + 5\/8*y**5 + 0 - y**4 + 1\/8*y**3 + 1\/4*y**2.\nAnswer: y**2*(y - 1)**2*(5*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/24 in 3, 257, -25\/3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 4328*y - 2341448.\nAnswer: -2*(y - 1082)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9134 = 13*x - 8910 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1349\/2 greater than 177\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1153900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 2. Let s = -39069 + 39075. Let y(i) = -1 + 4 - 3*i - 2*i. Calculate s*u(b) + 4*y(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 - 2*o**2 - 2*o**3 + 5*o**3 - 12 + 9 - 7*o. Let l(r) = r**3 + r**2 + r + 1. What is -g(h) - 3*l(h)?\nAnswer: -h**3 - h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 105\/(10\/2) - 0\/((-48)\/12). Suppose 0 = 5*p - 3*p - 10. Suppose -d + 2 = k, 4*k + 3*d = p*d + 38. Calculate the highest common factor of k and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 - -1 - -4. Suppose 3*y - 2714 = 5*x - 117, 0 = 3*x - c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163292028 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/22 - (-1 - 4). Which is smaller: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 14399545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2686112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m - m + 4*m. Suppose 62*u + 219 = 33. Let a be k(u). Solve 4 - 3 = 4*c + 3*p, 5 = a*c - 2*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:11 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/3 + 205*k**2\/3 + 20*k\/3 - 820\/3.\nAnswer: -5*(k - 41)*(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16, -66*g = -68*g - 3*m + 4. Which is the second biggest value? (a) 0.093 (b) 1\/11 (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 8. Let w be 6\/3 + 14\/(-2). What is the units digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.97354 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 0*f**2 + 0*f**2 + 4*f**2 + 0 + 0 + (2 - 2 - 2*f**2)*(0 - 6 + 5) - 3*f - f**2 + 3*f in the form x*f + q + o*f**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 29 = 131. Solve -2*d = -7*d + y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {s: 1, b: 1, d: 1, q: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfjf when four letters picked without replacement from {d: 1, j: 1, y: 2, f: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + (17 - 23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 13. Let a be m(-6). Let u = 44 - a. Suppose -12 = 4*n, -8*k + 9*k = -n + 131. Calculate the remainder when k is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 26865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16.9, 0.1 in increasing order.\nAnswer: -4, 0.1, 16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + ((sqrt(133) + -2*sqrt(133) - sqrt(133))*-5 + sqrt(133) - sqrt(133)))\/(-2*sqrt(21)\/sqrt(3)).\nAnswer: -11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-99) - 14\/(-18). Let o(m) = -m**3 - m**2 - m - 1. Let g(u) = 7*u**3 + 5*u**2 + 4*u + 4. Give r*g(c) + 4*o(c).\nAnswer: 3*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4177*l**2 + 3916*l**2 + 4)*(0*l**2 - l**2 - l**2) in the form o*l**4 + t + q*l**2 + s*l**3 + m*l and give o.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r. Let h(v) = -2*v**2 + 2*v + 25. Let k be h(4). Let j(u) = -u. Let q(n) = -16*n. Let m(b) = k*q(b) - 12*j(b). Give m(d(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvv when four letters picked without replacement from {v: 5, l: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4594399 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*w, 5*b = -5*w + 30. Let o(v) = -v**2 + 16*v + 23. Let j be o(17). Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbf when three letters picked without replacement from fpbfffbfopvpb?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(2 + sqrt(500)) + -1)*-3)**2*3.\nAnswer: 35640*sqrt(5) + 489267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/61))\/n*n*n*n\/(n\/(n*(n*n*n**(-1\/20))\/n*n)) assuming n is positive.\nAnswer: n**(6019\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose -3*q + f*q - 4 = 0. Suppose 2*x + 4*p - 18 - 52 = 0, 5*x - 105 = q*p. Sort -3, 3, x in decreasing order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*f - 25 = -30, 80 = -4*h - 4*f. Is -0.077 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 58\/6309 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101.8 + 91.8. Let f = 1.4 + -1. What is the third biggest value in f, 0, g, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1587?\nAnswer: -2\/1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/7 + 13880*x**2\/7 + 27676*x + 96768 = 0. Calculate x.\nAnswer: -3456, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 822\/1370*(-10)\/(-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11666 is divided by 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789653357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 135175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457224 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26689*288\nAnswer: 7686432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3.8+-30.328187679\nAnswer: -26.528187679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 + 151744*f**2 + 282070396605*f\/7 - 564145042050\/7.\nAnswer: (f - 2)*(f + 531105)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14881743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*k + 68*k + 5544. Calculate the greatest common divisor of k and 2072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((0 - (-1 - -120)) + (18 - (28 + -21)))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 11*a**2\/2 + a - 3. Let o be d(1). Solve -o = 3*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 12. Let j be 3*(-3)\/q*-5. Let u = 11 - j. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4685120, -4, 0 in decreasing order.\nAnswer: 0, -4, -4685120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 903 and -9884.\nAnswer: -8925252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2847*f - 380 = 2681*f + 7256 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -10*q - 42, 2*w + 5522 - 5533 = 15*q for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 3*m - 1. Let b be q(3). Which is bigger: -3\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**3\/6 + 28*y. Let n(s) = 8*s + s + 6*s + 5*s. Give d(n(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 = 4*c, -2*c - h + 54 = 42. Put c, -420, 5 in decreasing order.\nAnswer: 5, c, -420","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 16 - 52. Let m = 11 - 10. Let u(p) = 51*p**3 + p**2 - 1. Let r be u(m). What is the greatest common factor of b and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770208.\nAnswer: 2, 3, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23557, -23554, -23551, -23548, -23545?\n\"Answer: 3*c - 23560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530400 divided by 191300.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u + 5. Let v(r) = 7*r - 4. Let z(n) = 4*h(n) + 5*v(n). Let k(d) be the third derivative of -d**4\/6 - 15*d**2. Determine z(k(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 214624 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + (-2 + 5 - 1)*(-4 + 1 + 2) + 5 - 2 - 4)*(15*c - 4*c - 4*c) - c + 0*c + 3*c.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -218*n**2 - 872*n - 5. Calculate u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 16*c**2 + 75*c + 16. Let p be n(10). Suppose b + 4*v = 1150, 3*b + 2*v = -p + 3636. List the prime factors of b.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10212 and 1104.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) -1.8 (b) -0.3 (c) -7 (d) 8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + 16. Let y be (m + 3 - -5) + -714. Round y to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.5 - -0.5. Let m = p + 16. Let d = m + -4.999941. What is d rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**3 + 1298*q + 0*q**4 - 2*q**3 - q**4 - 1342*q in the form w*q**2 + g*q**3 + f*q**4 + u + z*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 267516.\nAnswer: 1\/4954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -5, -0.57?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 40*g + 1045.\nAnswer: -5*(g - 11)*(g + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvdfvvvvvvv. What is prob of sequence vd?\nAnswer: 17\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -0*w + w, -2*w - 8 = -4*v. Suppose -4*c = -3 - v. Let o be (4\/12)\/((-1)\/(-6)). Solve -c = u - o*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124087 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = -x. Let v(c) = -3 - 6*c + 12*c + 19 - 3*c. Let f be v(-4). Solve 5*q + 15 + x = f*y, -4*y - 3*q = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6485 and -1.\nAnswer: 6485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (11 + -12 - 9) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 28. What is the remainder when 16 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -39668*i + 364. Let y be g(23). Round y to the nearest 10000.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-4 - -5) + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 4*y + 4. Let k(f) = 3*f + 1. Let l be k(1). Let g be c(l). Let o be 1\/g + (-108)\/(-16). What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, 2\/1071, 2.\nAnswer: -2, 2\/1071, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 27 = -20*i. Let j be (-6)\/i + (-40)\/(-15). Factor -2 + 3\/2*n**2 + j*n**4 + 13\/2*n**3 - 8*n.\nAnswer: (n - 1)*(n + 2)**2*(4*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 72*l**2 - 304*l - 100. Give v(31).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 5*j + 4*j. Let w(k) = 9 - 9 + k - 4*k. Let x(u) = 6*u. Let t(z) = 9*w(z) + 4*x(z). Determine a(t(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2409, 19260, 65005, 154092, 300969, 520084?\nAnswer: 825885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*-2 - sqrt(121) - 1*2*sqrt(121))\/((-2*sqrt(99)*3)\/sqrt(9)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 888*i - 501737. What is z(392)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757 is divided by 2366.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 133 = 2*t - 3*s, 3*t + 3*s - 207 = 0. Let d = 99 - t. Calculate the greatest common divisor of 425 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(3\/19)\/v*v*v**(-14\/9)*v**(-43)\/(v*v*v\/(v\/((v*v**11)\/v)*v)*v*v) assuming v is positive.\nAnswer: v**(-9815\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**6\/1620 - d**5\/540 - d**4\/54 + 13*d**3\/3 - d**2\/2 - 73. Let f(k) be the third derivative of i(k). Factor f(t).\nAnswer: 2*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 257 = -1042 - 275 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12961818283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 4. Suppose -4*o - 17 = -7*o - i, 3*i = -n. Let x(j) = 2*j**2 + 6*j - 5. Let f(l) = -3*l**2 - 11*l + 9. What is o*x(d) + 4*f(d)?\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(700) + sqrt(700) + sqrt(700) + sqrt(700)*2 + 0)**2 - (sqrt(84)\/(sqrt(132)\/(sqrt(22)\/sqrt(2))))**2) + 4)*-1.\nAnswer: -17497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcggcgccccgggccgcgc. What is prob of picking 4 g?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 93 = k. Let p = 47 - k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848835665?\nAnswer: 3, 5, 13695079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 81 = -3*r, 0 = 5*r - 10*r - b + 142. Solve -5*o + 9 = r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*x + 243*x - 212736. What is the units digit of 4\/26 + x\/(-156)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3\/(-3)*3 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43b1 (base 13) to base 15\nAnswer: 2be4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12*q = -0*a + 372, 4*a + 9*q + 57 + 222 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:53 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1586, 1596, 1612, 1634?\n\"Answer: 3*c**2 + c + 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 20 = 132. Let f(y) = 8 + 2*y**2 + 107 - y**2 + z - y. Is f(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from arqdkqkl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 times 16353?\nAnswer: 5723.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 745031 divided by 1?\nAnswer: 745031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i - y, -4*y = -26*i + 31*i - 24. Solve 3*p - 4 = 3*t + 5, i*p = -4*t - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12141, 45689, 101611, 179907, 280577, 403621?\n\"Answer: 11187*g**2 - 13*g + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 130. Solve -5*g - h = 4*y, -2*y = 12*g - 14*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 128 + 38 = 0. Let v be 12\/(-54) - 706\/f. Is 6\/v + (-852)\/(-39) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 121. Let n = x - 38. Sort -3, 8, n in decreasing order.\nAnswer: 8, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 2410786 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6298858 and 12662?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 + 258*z**2 - 5166*z - 142290 = 0. What is z?\nAnswer: -15, 51, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from mvmmvm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -476 + 476.5. What is the biggest value in 2\/11, -0.05, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 18*h - 90 - 36 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 65.2190994 nanoseconds?\nAnswer: 0.0000000000001078358125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7137, 7121, 7103, 7089, 7085?\n\"Answer: j**3 - 7*j**2 - 2*j + 7145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u - 6*u + 53*u - 14*u + 152. Let j be t(-7). Solve -9 = -5*r - 4*s + 7, -j*s - 1 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*l**3 - 405*h*l*z - 6*l**3*z + 8*l**3 wrt l?\nAnswer: -18*h*l - 36*l*z + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.0243904 + 0.24.\nAnswer: 4.2643904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1013330 (base 5) to base 16\nAnswer: 414b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0*n - 10\/3*n**3 - 1\/6*n**4 + 1\/60*n**5 + 0 - 7*n**2. Does 10 divide d(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 332?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2906*l + 2718*l - 8052*l - 7674*l.\nAnswer: -10102*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvbvbbvvvvbbbbbvv. What is prob of picking 2 v?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*d - 47 = 122*d. Let a = 2 + -54. Let n = d - a. Sort -4, n, 4.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 248000*s**2 + 2*s + 10. Let f be c(-5). What is f rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 12*l**2 + 24*l + 67. What is d(10)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -124?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 16*b + 32. Let y be u(-14). Put y, 5, -4 in descending order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20362482 is divided by 1071709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -921, -0.3, 3, -8\/637, 0?\nAnswer: -8\/637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**3 + h**2 - h + 1. Let u be s(1). Let a be 27\/u*12\/3. List the prime factors of (-12)\/a - (-4)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -m. Let z(i) = -14*i - 26. Let r(q) = 5*q + 9. Let n(h) = -17*r(h) - 6*z(h). What is n(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 1. Suppose 2*y = -4*k + 10, 3 = -k + 4. Suppose 2*u + 13 = -y*g, 5*g - g + 25 = 5*u. Let s(b) = -6*b + 1. Calculate g*i(h) - 4*s(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126167494 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/8, 1, 2 in decreasing order.\nAnswer: 2, 1, 5\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 201498836 to the power of 1\/2, to the nearest integer?\nAnswer: 14195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56383.32 months to years.\nAnswer: 4698.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -9*q + 3 + 1\/2*q**2. Calculate v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(48\/(-4))*2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10387, -10391, -10395, -10399, -10403, -10407?\n\"Answer: -4*n - 10383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.417 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -122002215?\nAnswer: 122002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**21*q**6\/((q*q**0\/q)\/q))\/((q\/(q\/q**(2\/7))*q)**(2\/13)*q**(-4)*q**(2\/7)) assuming q is positive.\nAnswer: q**(-2865\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/55*3\/((-18)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*c + 10 = -3*c, -4*c - 17 = 5*z. Let h(s) = -13*s - 1. Let f(q) be the second derivative of -q**2\/2 - 28903*q. Give z*h(b) + 2*f(b).\nAnswer: 13*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 185? (a) 0.2 (b) -10\/3 (c) 0.27 (d) -0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -1. Let w = -11 + 8. Let u = w + z. Solve u*i = 5*v + 29, -7*i = -4*v - 3*i - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 21*y + 6. Determine g(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 641844268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csccss. What is prob of sequence cs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 96156*q + 2787705. What is a(-29)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/1*34683\/(-3153)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*q = 27, k = -2*q - 6 - 11. Let w(l) = 4*l + 28. Let p be w(k). Solve 3*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.39 plus -2900.9739299?\nAnswer: -2883.5839299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9658341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.0705931s?\nAnswer: 0.00023229853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 29. Let i be ((-28)\/(-5))\/(y\/(-5)). Differentiate 2*u + 2*u + i*u + 15*u - 38 with respect to u.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4170?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = n - 25, 0*o + 5 = 4*n - o. Solve n = 2*k + k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10)*43\/(-172)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d + 15*d**3 + 10*d - d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3304 is divided by 548?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 + 12 + -15)*10\/(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from sdwomox.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*(1\/7)\/(450\/(-105))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -43, -30, -9, 20, 57?\n\"Answer: 4*c**2 - 7*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6622 is divided by 2453.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 10014891091823?\nAnswer: -10014891091822.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*q + 31 - 9, 4*i = 4*q + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 139524*s + 697641. Calculate b(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 2\/3, -1\/5, -279\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*(1 + 53\/3 + -4). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0909 + -21657282469.5\nAnswer: -21657282469.4091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11928 - 11917. Solve 5*s - 4*b + h = -20, -2*s - 3*b = -6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4949*d + 5*d**2 + 2 + 4950*d - d**3 - 4*d**3 to l*d**2 + o + t*d + b*d**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4 + 104*f**3 + 716*f**2 + 1864*f + 1632 = 0.\nAnswer: -17, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 796*r + 55 + 15807*r - 23 as f*r + z and give f.\nAnswer: 15011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 + 108 - 2*a - 62)*(-1 + 5 - 3)*(-213 - 238 + 508) to the form x + f*a and give x.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*r**5 - 2*r**4 + 6205*r**3 + 61*r**2 + 2*r - 1212 wrt r.\nAnswer: 2100*r**2 - 48*r + 37230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 - 11632*n**2 + 0*n**3 - 11*n**3.\nAnswer: 10*n**3 - 11632*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/111)\/(n\/(n*n*n**25)))\/(n**35*n\/(n\/n**2)) assuming n is positive.\nAnswer: n**(-1219\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x = -40. Let m(v) = 2*v + 87. What is the remainder when m(7) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**4 + 5*w**3 - w**2 - 1603*w - 93591.\nAnswer: -8*w**3 + 15*w**2 - 2*w - 1603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1 - 361*b + b**5 + 0 + 360*b. Let h(v) = -90*v**5 + 319*v**2 + 4*v + 4. Let s(j) = -4*g(j) - h(j). Find the third derivative of s(t) wrt t.\nAnswer: 5160*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -37.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 2*b = 6*c - 8, 2*c - 2*b = -2. Let k be (-8)\/c + 250\/15. Let f be (1*(-4 - 14))\/(-1). Calculate the highest common factor of k and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c**2 + 1 + 4 - 8*c**2 + 25*c**2.\nAnswer: 60*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 2. Let s be q(-5). Suppose 153*a - 157*a = 0. Suppose -6*i - 6 = -a. Is i at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -5, -12, -2\/163, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -312770*s. Let w(p) = -2*p**2. Calculate l(w(y)).\nAnswer: 625540*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 443600 at most 443610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uooouoooooouou?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.277082 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.148 + -1.1. Let x = g + 24.952. Let l = -28 + x. What is the second biggest value in -2\/7, 7\/4, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-136)\/(-238) - (-356)\/14 - 1. Suppose -x + 758 = -2*n, -3*x - s*n + 2299 = -26*n. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - -5 - (-38 + 48). Solve -2*z + o = 11, 0*z - g*z - o = 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4435662 divided by 6.\nAnswer: 739277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -28\/9, -0.3, -10, -5, 1\/2 in ascending order.\nAnswer: -10, -5, -28\/9, -0.3, 1\/2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25517*h + 317584 = -22065*h for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11*x = -8*x + 558, 0 = 4*n - 2*x - 750. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 25*r**4 - 1665*r**3 - 695*r**2 + 1665*r + 670 = 0.\nAnswer: -1, -2\/5, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(700) + (-4 + sqrt(700) + -2 - sqrt(700)) - ((sqrt(700) - (0 + sqrt(700)))**2*-1 - (-3*(sqrt(700) + 1))**2).\nAnswer: 190*sqrt(7) + 6302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5217 + 1?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.435194 milliseconds to microseconds.\nAnswer: 6435.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*j - j - 24*t + 26*t, 38*j + 186*j - 1350 = -3*t for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 3*b + 3*b)*(3 + 3 - 5) + 103*b + 19*b + b + (-b + 3*b - 4*b)*(2 + 4 - 1) to the form x*b + u and give x.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, z: 2, m: 7, h: 3}. Give prob of picking 1 m, 1 h, and 1 z.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 11:48 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 - 121. Let t(g) = -g**3 + 5*g**2 + 5*g - 10. Let j be t(o). Suppose 154 = j*q - 25*q. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3036 = 2*v - 3012 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.868145 litres?\nAnswer: 9868.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -5 (c) -10 (d) -0.18 (e) 2\/9 (f) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, 0.167.\nAnswer: 0.167, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -648 + 1839. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 + 3*o + 5. Let n be d(-2). Suppose -n*p = -3*m, -4*m - 2*p = -p - 25. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-12)\/82*(-7)\/(-14)). Let n = -102 + 166. Let d = n - z. What is the remainder when d is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 2)*4)\/(92\/(-115)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 7. Let p = -4 + u. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81 times -3961139\nAnswer: 320852259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -126. Suppose -2*x = y + 99. Let w = x + 116. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96161?\nAnswer: 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/278158700 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8493795?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*s = 2*f - 54, 79 = 4*f + 3*s. Suppose -j = 1 - f. Suppose 3*q - 66 = -j. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4205 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: Simplify (w**(-7)\/((w**(-8\/13)\/w)\/w))**(-25) assuming w is positive.\nAnswer: w**(1425\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4085 or 719091\/176?\nAnswer: 4085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n - 1232830 - 634670 = 0. Is 225 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(0 - 22\/(-4)). Suppose p - 36 = -p. Let d = p + -16. Which is the third biggest value? (a) d (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/38 and (-2)\/(1\/((-59)\/(-8))).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58187 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 9*d - 10. Let l be z(7). Suppose 2*p = -5*o - 21, 1 = p - o - 6. Suppose p*q + 3*a = -2, -4 = 3*a - a. Solve 2 = l*g - q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rdrqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 - 8*y**2\/5 + y\/5 + 8\/5.\nAnswer: -(y - 1)*(y + 1)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let y(n) be the second derivative of -1\/12*n**4 + 0 + 0*n**2 + 3*n + 0*n**3. Calculate v(y(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1364 and -9\/682.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3311 = 3*v + 2*j, 5*v - j = -2*j + 5516. Let f = v - 67286\/61. Is -1 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/25 (b) -40 (c) -2\/7 (d) 9\/40 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 6*h - 2. Let v be a(-5). Suppose 3*m - 14 = m + 2*o, -3*m - 3*o + 33 = 0. Let d = m - v. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6737169 plus 449678?\nAnswer: 449677.3262831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - u - 2*u = -24, 4*j + 3*u - 21 = 0. Find the first derivative of s**3 - 2*s**3 + 10 - 4*s**3 - s**j wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q + 2. Let v(s) = 2*s**2 + 1. Let x(n) = -2*v(n) + 3*y(n). Let r be x(-4). Suppose r = -13*w + 11*w + 326. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1261, -4913, -10955, -19387?\nAnswer: -30209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38846 take away 6172?\nAnswer: 32674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*u**(1\/3)*u)\/u*u)*u*u\/(u\/(u\/(u*u*u*u**(-1\/3)\/u))))\/(u**(-2\/3)\/u**(-1)))\/(u**(3\/14)*u*u**(-2))**(-43) assuming u is positive.\nAnswer: u**(-1517\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36259.16337 + -36259. Let h = i + -0.164. Round h to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 4) to base 15\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/7 + 36*q**2\/7 + 69*q\/7 + 34\/7.\nAnswer: (q + 1)**2*(q + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7740.689 grams to kilograms.\nAnswer: 7.740689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8676782.\nAnswer: 2, 4338391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -46840.046 rounded to the nearest one hundred?\nAnswer: -46800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/a**(-1\/29))*a\/a**(-6)*(a**(-5)*a)**48 assuming a is positive.\nAnswer: a**(-5337\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -28. Suppose -216 + 1126 = 5*f. Suppose -d*t + 18*t = -f. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 833, 1667, 2501, 3335, 4169, 5003?\nAnswer: 5837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (164835\/1332)\/(40\/(-32))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284719139 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n + 1. Let x(k) = -5*k**2 + 5*k + 5. Let p(w) = -11*r(w) + 2*x(w). Let c(z) = 6*z**2 - 6*z - 8. What is c(f) - 5*p(f)?\nAnswer: f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 43\/897115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24440542571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from {c: 5, s: 4, o: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 66\/17?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/31 + -2981\/496. Find the common denominator of (-129)\/10*(-1)\/(-3) and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. What is the nearest to 2\/5 in 1, w, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-139*a**5 + 825*a**3 - 825*a**3).\nAnswer: -139*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 21220?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 31101202012?\nAnswer: 31101202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*i**6 - 2*i**5 - 11*i**2 + 11.\nAnswer: 3360*i**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 132762.537 nanoseconds?\nAnswer: 0.0000000015366034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 1\/(-1). Let b = 43 - 22. Let k be 469\/b + 1\/(-3). What is the highest common divisor of k and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*u + 1. What is the lowest common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.2. Let l = 1622.9 - 1623. Let w be (2\/1)\/(4 - 6). What is the second smallest value in l, h, w, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.08, -2\/15, -3.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/2, 19, -0.6?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/32863645 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*z - 4*z. Let p(i) be the third derivative of -i**6\/120 + 2*i**5\/15 - i**4\/4 - 5*i**3\/6 + 3*i**2. List the prime factors of p(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 35. Suppose v*d - 15 = t, 5*d - 2*t = -0*d + 15. Factor 6 + 6 - 17 - d*a**2 + 10*a.\nAnswer: -5*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457*l*u**2*v**2 - 371*l*u*v + l*v**2 + 18*u**3*v**2 - 15 wrt u.\nAnswer: -914*l*v**2 + 108*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7 = 2. Factor -3*u**4 + 3*u**4 + 3*u**5 + u**4 + 2*u**4 - v*u**2 - 3*u**3.\nAnswer: 3*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-26)*1)\/(3\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*o = 12 + 4, -3*m = 5*o - 20. Let d(l) = -8*l + 15. Let p(z) = 3*z - 5. Let t(h) = 4*d(h) + 11*p(h). What is the units digit of t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 10*k + 55. Let d be i(-4). Let j(r) = 14*r**2 + r + 1. Let c(o) = -o**2 - o - 1. Calculate d*j(q) - c(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10903?\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-1872)*-39)\/((-165)\/20)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -939.724 - -938. Let r = 0.024 + k. Put r, 4, -5 in decreasing order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 + 7417\/34. Calculate the common denominator of z and (-3)\/2*23\/(-1863)*393.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352675681 is divided by 1501.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -f - 2431 + 770, 4*f + 8301 = 5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(2299) - (sqrt(2299) - ((sqrt(2299) - (sqrt(2299) + -4)) + 0))) + 4)*2 + 4))**2*1.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2776 - 2765. Solve 2*z = -4*b - 8, 0 = -4*b + 3*b - 5*z - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 5*k**2 + k**2)*(-8 + 3 + 2).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 395 = -s, 3*q + 4*s = 430 + 760. What are the prime factors of q?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = -3*q, 0 = 5*m - 0*q - 4*q + 6. Is ((-1)\/m)\/(11\/(-748)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12931 is divided by 450.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5\/10 + 6*k**4\/5 - 4*k**3 + 3*k**2 + 41*k\/10 - 21\/5 = 0.\nAnswer: -1, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 17 - 80. Suppose 3*o - h = -2*q - q, 3*q - 3*o - 27 = 0. What is the remainder when 14 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiibirrirbir. Give prob of picking 1 r, 1 b, and 1 i.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(6)\/sqrt(2)*-2))\/(sqrt(24)\/(sqrt(6) - (sqrt(18)\/sqrt(48) + sqrt(6)))).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)\/t*t**(1\/14))**(2\/13)\/(t**0*(t*t**(2\/9)*t)\/t)**(5\/16) assuming t is positive.\nAnswer: t**(-32369\/65520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1\/(-9)) + 424\/477. Let t = 933 + -802. What is the greatest common divisor of t and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 965312 and 5184?\nAnswer: 78190272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/11 (c) 3\/32 (d) 3 (e) 0.5 (f) -1310\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4873 = 11951. Let j = 7049 + b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 11. Let w(s) = -s - 1. Let z(f) = 5*h(f) - 30*w(f). Let a be z(6). Suppose -o + 123 = a*p - 3*p, -5*o = p - 48. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/724, 0.4, 2\/9?\nAnswer: 1\/724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 32, -35?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - u + 80 = 0, -3*i - u + 40 = -2*u. Let q = i + 3. Calculate the greatest common divisor of q and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**4 - 2677700*b**3 - 448107069156*b**2 + 7618695808372*b + 17029798471832 = 0?\nAnswer: -334721, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1149562136 divided by 16756.\nAnswer: 68606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*w - w - 3, -5*w - 29 = -3*r. Let z(m) = m**2 - 4*m + 2. Let o be z(4). Let v = o - 1. Sort r, -4, v in descending order.\nAnswer: r, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-430)\/((-137600)\/(-4560))?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -166.9 (b) -12 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12166419?\nAnswer: 3, 97, 41809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40353 is divided by 2100?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -3*x + 471. Suppose -2*y + x = 10*y. What is the remainder when 23 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2456668196 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 2. Let c be w(3). Solve -3 = r - c*q, r + 0*q + 2*q = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1*8\/4. Suppose -3*x - 2*s + 67 = 0, -s - 4*s = m*x - 80. Let u = x - 20. Sort 0, u, -10.\nAnswer: -10, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from itit.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22010122203 - -30?\nAnswer: -22010122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let c(n) be the second derivative of -n**4\/24 + n**2 - 7*n. Let w(y) be the first derivative of c(y). Calculate w(i(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -66*p**3 - 994*p**2 - 53*p + 84. Determine x(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 12. Let r be u(-4). Let d be (-1)\/(-1*(-15)\/9). Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 12:34 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2457, 2455, 2453?\n\"Answer: -2*p + 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4993.\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-9) - -2 - 1\/(-1). Suppose -2*w + 1 - 3 = 0. Is w smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 203223?\nAnswer: -203232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 75a (base 14) in base 9?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let k be t(-10). Calculate the remainder when k\/(7\/122) - (0 + -4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j + 4. Let v(c) = 2*c - c + 14 + 0*c**j + 0*c**2 - c**2. Determine v(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/77 and 34\/883757.\nAnswer: 9721327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -488\/7 - -70. Which is the fourth smallest value? (a) 1 (b) r (c) 0.1 (d) 9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.3686l to millilitres.\nAnswer: 494368.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 8) to base 15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = 680*g - 667*g, 3*m + 95 = 4*g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/17 and 31\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p + 7 = 0. Let a = p + 18. Let l = 8 - a. Is -3 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -585, -1168, -1751, -2334, -2917, -3500?\n\"Answer: -583*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(5\/6)*(v\/v**(-1))\/v*v**(1\/6)*v**7)**(2\/5) assuming v is positive.\nAnswer: v**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/98*4*-28. Suppose -2*b + z = 3*g, 9*b = -g + 14*b - 3. Solve 4*n - 5*a + a + 28 = 0, -4*a = g*n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(12\/18)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0*i**2 + 23\/6*i**4 + 0 - 204*i + 0*i**3. Let t(n) = 6*n**2. Give k(t(u)).\nAnswer: 1656*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322782 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 133 = 4*w + 124, 0 = -w - 4*z - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 6, 8, 6, 0, -10, -24?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11445*b**2 + 4*b + 182028.\nAnswer: 22890*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 769409349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 8. Let f be w(-7). Which is smaller: 9\/20 or f?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1662*a - 1665*a + 3326*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 110. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*l = -12, -2*n = -0*n + 3*l. Suppose -2*a + 6*a = d + 9, 0 = -d + 3*a - n. Let m(i) = 0 - 3 - 2*i**2 + d. Let z(r) = -4*r. Calculate z(m(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.422 in 2\/3, -1\/2, 4\/9, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i + 3. Let o be 4\/(-14)*(-21)\/6. Let f be v(o). Let l = 9 + -4. Solve l*b + f = 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8*i = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -355, -386, -437, -508?\n\"Answer: -10*t**2 - t - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1 + sqrt(1008) + 0 + 0)**2 - (sqrt(1008) - (sqrt(1008) + 2*sqrt(1008) + 1) - (0 + sqrt(1008))*5)**2).\nAnswer: -241920 - 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 2.7. Let l = -1.4 + j. Let z = 153 - 154. What is the closest to l in 5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -2*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176452941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 11*a**2 + 9*a + 6. Let k be q(11). Suppose 6*h - k = 3*h. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodddoo. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 4*y**3 + 2*y**3)*(y**2 - 2 + 2 - y**2 + 4 - 4 + 2*y**2 - y**2 + y**2 + (0*y - y + 3*y)*(-2 + 2*y + 2) - y**2 + 0*y + 0*y).\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*g - 1, i + 0*g = 3*g + 11. Let s(x) = x**2 - 7*x - 8. Let v(r) = r**2 - 8*r - 9. Let j(a) = 4*s(a) - 3*v(a). Give j(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35399112*v**4 + v**3 + 47137747*v**2 wrt v?\nAnswer: -849578688*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/30 - 5*b**4\/6 - 25*b**3\/3 - 3*b**2. Suppose i(s) = 0. What is s?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddgg when four letters picked without replacement from ddddwddddgxgdddddww?\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4\/5, 8\/9, 0.5.\nAnswer: -4\/5, -0.4, 0.5, 8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 46 = m + 143, -3*q + 3*m = -75. Let h = 22 - q. Is 2\/h*(5 - 322) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -31*w - 5. Let f be u(-5). Suppose 0 = -5*b - 4*d + 4 + 12, -5*b = -2*d + 8. Suppose f = 3*r - b*r. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 + -11 - 3) + -18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 61. Let v = 1.61 - 0.61. What is the fourth smallest value in v, t, -0.2, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 7.1?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -70, -140, -254, -424, -662?\nAnswer: -980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4)\/((-91)\/28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*i + 94*i - 1250 - 1855 = 0. Solve -2*d - 5 = -l, l - i = -3*d + 7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3754094125 to the power of 1\/2, to the nearest integer?\nAnswer: 61271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -6, 2\/3, -0.2, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + sqrt(11) + -2)**2.\nAnswer: 14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11 at most as big as -2\/1099609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1010101 (base 2) to base 6\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/5 - 912*p\/5 + 49268 = 0. What is p?\nAnswer: -1130, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158847118 by 2.\nAnswer: -79423559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/2 - -8. What is the biggest value in h, 1\/7, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730 divided by 2?\nAnswer: 4865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 - t + 17. Let q be j(-4). Suppose 5*n = -5 + 10. Sort n, 4, 0, q.\nAnswer: 0, n, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**7\/42 + 3*w**5\/20 + 6*w**2. Find the third derivative of n(z) wrt z.\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (51\/75)\/((-36)\/(-8270)). Let y = s + -1486\/9. Calculate the common denominator of (-134)\/4 + (-2)\/(-4) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40422 + -28270. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 8. Let t be g(5). Suppose -5*u + 128 = t*o, o - 72 + 16 = -5*u. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248058187 times -2?\nAnswer: -496116374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 - (1 - 1) - (68 - 31)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x. Let z(m) = -487*m**2. What is t(z(n))?\nAnswer: 3896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14712760 divided by -5.\nAnswer: 2942552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141222441 - 243?\nAnswer: -141223124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7778681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i - 4*i + (-3 + 2 - 1)*(-3 + 5 - 1)*(-2*i + i - i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus 53.91?\nAnswer: -54.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -29\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -416*l - 98*l - 14392 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 41*b**6\/30 + 9*b**5\/10 - b**3\/3 - 7*b**2. What is the third derivative of d(n) wrt n?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 + -0.05. Let l = b - 0.19. Sort l, 0.4, 3 in descending order.\nAnswer: 3, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-3)\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)**(-2\/11) assuming i is positive.\nAnswer: i**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 2, j: 1, r: 5}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 0.1. Let u be 23*((-3)\/5)\/((-13)\/(-195)). Let m be 0 + 7 + u\/27. Put m, g, -1\/2 in descending order.\nAnswer: g, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/239027?\nAnswer: -6\/239027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -0.1. Let c = w + -0.8. Sort c, -2\/5, -4 in decreasing order.\nAnswer: c, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -665415 or -665414?\nAnswer: -665415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 1293*o**2 + 288*o**2 + 785*o**2 + o.\nAnswer: 2366*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 844, 1929, 3454, 5419, 7824, 10669?\nAnswer: 13954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77138647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 11. Let b(n) be the second derivative of n**2\/2 - 3*n. Let i(w) = -66*b(w) + 6*p(w). Let k(f) = 2*f. What is k(i(j))?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, 3\/2, -26\/7, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 4\/5, 0, 41, -4\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*w + k, -3*w + k = -57 + 11. Suppose r + 9 = 2*f, -5*r - w = 5*f - f. Let s(t) = t**3 + 5*t**2 - 4*t + 1. What is the units digit of s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1042*m + 1983*m + 32 - 956*m in the form u + l*m and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33103 is divided by 563?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2 + 3*h. Let o be n(3). Suppose 2*r = 5*j - 55, 15 = 3*r - 6*r. Calculate the highest common factor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 322*i - 320*i - 756, -2*m = 4*i - 1512. Solve -476 = 14*t - i for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 9 + 18 - 6*v + 11*v - 68 to the form n + m*v and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, -3.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -12, 0 = h - 2*t + 3*t - 4. Let w be h\/(-1) + -8 + 4. Let i(n) = n**3 + 5*n**2 + 2*n + 1. Determine i(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 + 0*m**5 - 3*m**5 + (0 - 2*m**2 + 0)*(4 - 2*m**3 - 4) - m**5 + 2*m**5 + 0*m**5 + 225*m**3 + 15*m**2 + 2*m**5 - 225*m**3.\nAnswer: 9*m**5 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*k - 39233 - 225565 = 107*k. Calculate the highest common divisor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156973*y**2 - 16*y - 623945?\nAnswer: 313946*y - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - m. Let k be x(1). Let i be 0 + k\/((-1)\/1). Let s be ((-4)\/3)\/(i\/3). Solve -4*l = -2*n + 22, 2*l = s*l - 4*n + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13521*z + 6714*z + 6806*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/83? (a) -2\/19 (b) 5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-28)*f)\/(f*f*f\/(f\/f**(-12))*f) assuming f is positive.\nAnswer: f**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20070030 to the power of 1\/2, to the nearest integer?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 3*o**2 - 4*o**2)*(o + o - 3*o + (-2 - 1 + 1)*(10 - o - 10)) + 20*o**3 + 4*o**3 - 2*o**3.\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 429 in ascending order.\nAnswer: 0, 4, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -62. Let u = l - 36. Suppose -u*j = f - 155, -j + 3*j - 5*f = 62. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/3 (b) -1\/40 (c) -4 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12cca8 (base 13) to base 4\nAnswer: 1233203301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 12808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2183, -2, 5 in increasing order.\nAnswer: -2, 5, 2183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 - -155. Suppose d - 2*d = 4*c - 7, 0 = -3*c - p*d - 6. Solve -12 = c*m - 3*z - 3, 4*z + 20 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37006344 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 8. Let s be n(7). Let v = s + 7. Sort -1\/2, -1\/3, v.\nAnswer: -1\/2, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1.3, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2 + 1510*p + 570025 = 0.\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 + 3\/(-1 + -2). Suppose 0*x - o = -4*x. Factor -x*i**2 + 4*i**2 - i**2 + 2*i - 5*i.\nAnswer: i*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o - 8*o + 31*o to a + t*o and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -647, -672, -721, -800, -915, -1072, -1277?\n\"Answer: -h**3 - 6*h**2 - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = -h + 557, -5*k + 2*h - 929 = 0. Let a = k + 554. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, -33\/2, 4, -1447 in increasing order.\nAnswer: -1447, -33\/2, -4, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0066659474 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*x**5 + 4*x**4 + 2*x**2 - 2*x - 3317 wrt x?\nAnswer: -1260*x**3 + 48*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-3)\/24*1. Let c be ((-6)\/(-60))\/((-12)\/35). Let h = c - w. What is the second smallest value in 3, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**6\/360 - v**5\/120 - v**4\/8 + 37*v**3\/6 + 32*v - 1. Let d(c) be the second derivative of y(c). Calculate d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + (2 + -4)*-25 is divided by (1 - 6\/3) + 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0070071936 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6881.3 - 6798.349. Let v = -180 - -97. Let z = v + w. Round z to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/540 and -11\/24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 13. Let a be g(12). Let k = 169 + -267. Let s = a - k. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-32))\/(20\/28). Which is the closest to 0? (a) 4\/5 (b) 1\/3 (c) -2\/5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = 105*h + 150 - 57 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9. Let g(o) = 4. Let d(l) = -7*g(l) - 3*t(l). Let c(i) = 11 - 4 + 14 + 14 - 5*i - 50. Give c(m) - 15*d(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:03 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/15 + 5\/(-25))\/(-1). Calculate the smallest common multiple of (2 - 6 - (-3 + z))*-45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u - 11*u**2 + 15 - 15 + u**3 as y*u**2 + v*u**3 + p*u + s and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147206*i - 33594 = -148224*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 113*z**3 - 213*z**3 + 3*z**2 - 187*z**3.\nAnswer: -287*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 72 = -4*c. What is the second biggest value in -4, c, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13. Suppose 2*q + 36 = 4*k, 0 = k + 2*q + 2*q - 18. Suppose v + t*v = k. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa7b24 + 0?\nAnswer: -aa7b24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*i = -2, -18*i + 20*i = 3*v - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7164\/439 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 5*h + 35 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6.37 - -2\nAnswer: 8.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 11:59 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1207 and 1232347?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 + 5038*t**3.\nAnswer: 2*t**3*(t + 7557)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 136 = -17*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 8 - 45 - 19 + 26*s**2 + 25.\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100 + 10110001101?\nAnswer: 11000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -607*p + 609*p + 3*l, 5*l = 4*p + 56 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 14) to base 6\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.21, -1\/5, -0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**2 + 4170*z - 869258. Give s(411).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1197, 0 in decreasing order.\nAnswer: 5, 0, -1, -1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.7 (b) 1\/2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 386 - 11 + 3*t.\nAnswer: 3*t + 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**2 - 7957835*g + 15915650 = 0.\nAnswer: 2, 1591565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s + 2 + 0*s**2 + s**2 + 4*s.\nAnswer: (s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 30*w**2 - 84*w - 79. Calculate the remainder when 39 is divided by s(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7887 is divided by 5345?\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5 - o - 6 - 2 + 4. Let i be d(-8). Solve 4*b - 7 = i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let g be o*1\/(1\/(-1)). Suppose -g*n = n + 6. Sort n, 3, -3.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5249 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29342, 29748, 30852, 33002, 36546?\nAnswer: 41832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 - 4*u + 4. Let y be s(1). Let a be (y*-4)\/(12 - 16). Let k = a + 22. What is the common denominator of 11\/34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m - 756. Calculate the smallest common multiple of 10 and j(46).\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22\/3*h + 43\/6 + 1\/6*h**2 = 0. What is h?\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347529151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 5069.\nAnswer: 506.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10*t + 306 = 0. Solve t = 5*k + 3*c, -5*k + 3*c + 19 = c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (32 + 1)*(3 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 415 + -405. Let r(k) = k**3 + 5*k**2 - 41*k + 19. Is r(y) 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 {l: 3, z: 1, p: 1, f: 1, s: 1}. Give prob of picking 1 z and 2 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34104*j - 102295*j + 34093*j + 34105*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683579, 1367193, 2050805, 2734415, 3418023, 4101629, 4785233?\nAnswer: 5468835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 8. Let z be j(-7). Let c be (z + -2 + 1)\/1. Suppose -6*m + 3*m = 5*k, c = 2*m + 4*k + 2. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or -0.538533?\nAnswer: -0.538533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3250*h**3 + 2*h**2 + 4*h + 3. Let v = 336 + -337. Is w(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - n**2 + 1. Suppose 4*t - 3 = t. What is g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27651, 25167, 21027, 15231, 7779, -1329?\n\"Answer: -828*y**2 + 28479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.03 (b) 0 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**2 - 13*f + 10. Suppose 3*n = 7*n - 20. Let d be w(n). Let y = 428 - d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 50*l**2 - 513*l + 2. Determine m(36).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 8) in base 16?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 10) to base 14\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 24*f + 4*f + 143 = 0. Let i(d) be the second derivative of d**4\/12 - 11*d**3\/6 + 8*d**2 - 2*d. Determine i(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -485 or 0?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2. Let r(x) = -3*x + 2. Let c(m) = -7*m + 4. Let w(j) = j - 1. Let l(b) = -c(b) + 3*w(b). Let p(t) = 6*l(t) + 21*r(t). Determine p(v(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 43 = -25. Suppose -y*h - 671 + 212 = 0. Let o = h - -361. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765544 is divided by 191284.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Let a(g) = 5*g**2 - 5. Let b(p) = -11*p**2 + 11. Let l(r) = h*b(r) + 9*a(r). Let l(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (24\/30)\/(-5*(-8)\/62900)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*((-1620)\/(-675))\/((-16)\/(-50))*2\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -377*x - 11. Let f be s(-4). Suppose -o = -g + 506, -8*o + f = 3*g - 4*o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1786578, 3573155, 5359728, 7146297, 8932862, 10719423?\n\"Answer: -2*b**2 + 1786583*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**16*k)\/k*k)\/(k\/(k*(k**(2\/13)*k*k)\/k)))\/((k*k*k\/k**(-15))\/k*k**(5\/4)) assuming k is positive.\nAnswer: k**(47\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413589.175 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l**2 - 3*l - 2. Suppose -9*a - 1 - 8 = 0. Let z(c) = c**2 - 13. Calculate the remainder when z(-8) is divided by f(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 1:01 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*f - 26*f - 160*f = -39*f. Put 1378, 5, f in increasing order.\nAnswer: f, 5, 1378","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8041.7 - -10068.25. Round o to the nearest 10.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1112 + 464. List the prime factors of o.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/2 + 6021*y**2\/2 + 143352*y = 0.\nAnswer: -5973, -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 bigger than -222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*j*r**2 + 9*j*r - 69*j - 314*r**2 + 2*r - 5 wrt r?\nAnswer: 254*j - 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.8939 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 13*l**2 + 15*l - 94. What is v(-9)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/20 - k**4\/24 - k**3\/6 + 2*k**2. Let j be v(-1). Let x(g) = j*g - 4*g + 3*g. Let r(y) = 2*y**2. What is r(x(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 60*d - 68 = 76*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**4*o + 3873*n**2*o**2 + 3*n*o**2 - 22*n*o + 2*o**2 - 52 wrt n.\nAnswer: -24*n**2*o + 7746*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.5, -8, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -15 + 12 + 26 + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 227511 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 180, 241, 318, 417, 544, 705, 906?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 547\/3, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n)*(1 + n**4 - 1) + (-3*n**4 + 4*n**3 - 4*n**3)*(-3*n + 2*n + 0*n).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5112?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 14)*2\/(-4). Suppose 0*b + p - 13 = -4*b, 3*b = -5*p - 3. Suppose 0 = -2*u + b*u - q. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 42*g - 112 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 2024567 + 2024567 + 12*j.\nAnswer: j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22699111.\nAnswer: 1153, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 29*a. Let z = -268 + 270. Let r(w) = -w**2 + 2*w. Let i(s) = z*r(s) + q(s). Factor i(m).\nAnswer: -5*m*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let y(c) = -c**2 - 28*c - 145. Let n be y(-21). Let g(o) be the third derivative of 0*o**3 + 2\/3*o**4 + 11*o**n + 0*o + 0. Calculate u(g(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -136*o + 135*o - 35*u, o = -5*u + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4815376 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v = -25*v + 34*v + 512 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*118 + -2. Suppose 4*x = -3 + 11. Suppose -r = -4*j - 39, 2*r + x*j = r + q. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-15)\/(-9))*-1. Let l = -7 - -4. Let g = l - c. Let n(t) = t**2. Give n(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 15 = 5*i, 25*i - 20*i = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 31988.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65\/44 + -8\/11. Let a(q) = q**3 - 7*q**2 + 5*q + 1. Let y be a(6). What is the closest to 0.1 in y, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*o**3 - 46*o**3 - 54*o**3.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(153))*3 + 4 - 2*(((sqrt(153) + 1)*1 - sqrt(153)) + sqrt(153))*6)**2.\nAnswer: 1008*sqrt(17) + 67537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161999148 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**2 - 3*j - 47*j**2 + 3 + 0.\nAnswer: -32*j**2 - 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 9, 0*f - 9 = -y - 3*f. What is the lowest common multiple of 16 and y?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22320.2 to the nearest one hundred.\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1215\/171 + 0).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-896))\/(6\/(-63))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 - -436.9. Round t to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046516861.\nAnswer: 13, 353, 228049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 2*j + 3. Let a be c(3). What is the remainder when a - 69\/(1\/(-1)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -648 + 1165. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236 - -242. Find the third derivative of 37*o**2 - 19*o**3 + 39*o**3 + 19*o**3 + y*o**2 wrt o.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 15) to base 13.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*x + 31 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/10)\/(4\/20). Suppose z*v = 5*v. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.08, 78222\/35, 2\/5.\nAnswer: -1, 0.08, 2\/5, 4, 78222\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooommomoooooomom. Give prob of sequence omo.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1\/18)*n)\/n)\/n)\/(((n**(2\/19)\/n)\/n*n)\/n))**(4\/13) assuming n is positive.\nAnswer: n**(574\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(684) + sqrt(684) - (sqrt(19) - sqrt(190)\/(sqrt(40)\/sqrt(4))) - (-1 + sqrt(76))*-6) + 0.\nAnswer: -24*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j - 3*i, 6 = 4*j - 2*j - 5*i. Let a be 4 + (3 - 4 - 1). Suppose b = a*b - 4. Solve j = m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.299 - 0.906\nAnswer: -0.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(-1*(-10)\/(-540))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 0 - (-17 - (-16 - (-10 + 10)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 70 = -2*m - 5*j, -5*m + 2*j = 419. Let x = -23 - m. Calculate the remainder when x is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20940 divided by -4?\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhssssshc. Give prob of picking 2 h and 2 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53329, -105923, -158517, -211111?\nAnswer: -263705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249276?\nAnswer: 2, 3, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*-2*450\/(-675).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*w**3 + 52*w**3 + 55*w - 55*w.\nAnswer: 437*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-74 + 2 - (-12 + 3)) + -5 + 4 + -4\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/9)\/(-16)*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and -64\/7077.\nAnswer: 14154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 8*u + 4*c, -31*u + 30*u - 1 = -3*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-2\/11))**(1\/10)\/(o\/o**(2\/9)*o**(-4)\/o))\/((o**(-2)\/o)**(-1\/6)*o**3*o**(-1\/5)) assuming o is positive.\nAnswer: o**(1093\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -42166?\nAnswer: 42162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 - 22*q - 3*q**2 - 1\/3*q**3 + 1\/6*q**4. List the prime factors of g(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, 1.62 in increasing order.\nAnswer: -3, 0.04, 1.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -191*x**5\/20 - 184*x**3\/3 + 91*x. What is the second derivative of s(m) wrt m?\nAnswer: -1146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 51*b**2\/7 - 6*b - 16\/7.\nAnswer: (b - 1)*(b + 8)*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u. Let w = 96 - 101.9. Let o = -6.2 - w. What is the nearest to 1 in u, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 times 3623167?\nAnswer: -108695010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.054 + -6.854. Let l = 0.02 + 6.98. Let o = r + l. Which is the closest to 1? (a) o (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.016 + 0.016. Let w = -21.776 - a. Let s = -0.22399889 + w. What is s rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5.6 (b) -29 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256233380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4.703*-0.4\nAnswer: 1.8812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5355 and 66\/135065.\nAnswer: 1215585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289 - 284. Suppose -s - n*t + 75 = 0, 5*s + 0*t - 349 = t. Calculate the remainder when s is divided by -1 + -1 + 25 + 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1522*i**2 + 55*i - 1523*i**2 - 30*i - 25 to h*i + v*i**2 + c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*m**2 + 2*m**3 + 70*m**2 - 33 - 41 + 87 to the form d*m**2 + k + s*m**3 + y*m and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 97438000 divided by -9743800\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001 + 10?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/5 - 30493*v**2 + 35925807*v\/5 + 36078273\/5 = 0. What is v?\nAnswer: -1, 237, 152229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 733b3 - 0?\nAnswer: 733b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9143 is divided by 2245.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*l + 34 = 87, -5*l + 25 = 0. Do k and -42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*r + 30 = 0, -16 + 76 = -4*f - 4*r. Let g = f - -40. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 42. Suppose -4*j + 158 + 82 = z. What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q + 20. Let s be f(-1). Let m(n) = 11*n - 2. Determine m(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 31480, 0.5?\nAnswer: 31480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 4*b**2 - b + 2*b**2 + b. Let c(q) = 2*q - 23. Give v(c(k)).\nAnswer: 8*k**2 - 184*k + 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000306527175 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1586923 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 3*a - 113 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52212.31 hours to milliseconds.\nAnswer: 187964316000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 207410 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(76) - (1*sqrt(76)*5 - sqrt(76)))*6)\/(sqrt(100) - (sqrt(100) - (-6*sqrt(100)*1 - sqrt(100)))))**2.\nAnswer: -6156\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 5*s - 56, 5*s + 8 = -h. Suppose -5*u - 24 = -y, -y + 2*u = -h - 0. What is the least common multiple of y and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -976771*l - 1473. Let q be x(37). What is q rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*r**4 + 10843*k**2*r - k**2 - 291*k*r**2 - 12*k*r - 549*r**3 wrt r.\nAnswer: 24*k**2*r**2 - 582*k - 3294*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.2 (b) -1 (c) -497\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -104. Let l be 1*2*(-8)\/16. Let s be l\/h*4\/16*8. Which is the smallest value? (a) s (b) -5 (c) -0.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + (-18)\/63. Let c = -1.307 + 0.307. Sort 0.1, c, k in descending order.\nAnswer: 0.1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:53 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/4)\/((-45)\/(-150)*35)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*b + 8*b - 127*b + 581883. Calculate the remainder when b is divided by 116.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(272) + 2*sqrt(272) - sqrt(272))**2*-6 + ((sqrt(102)\/(sqrt(6) - sqrt(54)) - (sqrt(1377) + sqrt(1377) + 0 + sqrt(1377)))*-1)**2 + 1.\nAnswer: 25317\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g*(g*(g\/(((((g*g**(1\/2))\/g)\/g)\/g)\/g))\/g*g*g)\/g*g)\/(g\/(g\/(g*((g*g**(1\/5))\/g)\/g*g))*g\/g**3) assuming g is positive.\nAnswer: g**(229\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*j - 17 + 5 = 0, -4*j + 13 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 11. Suppose 0 = 3*d - 2*d. Suppose d = 4*i - 20. What is the remainder when r(-10) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)*k**(1\/6))\/(k**(-7)*k\/(k*k*(k\/(k**(1\/9)*k)*k)\/k*k*k)) assuming k is positive.\nAnswer: k**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**24\/f**(-8\/3) assuming f is positive.\nAnswer: f**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r + 4*r. Which is the biggest value? (a) 4 (b) r (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212470 is divided by 468?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321916508526 + -2?\nAnswer: 321916508524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 471482076 divided by -17403\nAnswer: -27092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16651287, -1\/2 in descending order.\nAnswer: 16651287, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 - 3*o - 4 - 2. Calculate g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -13*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-210)\/(-28)))\/(40\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704) - sqrt(704))**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 42*b = 78442. Suppose -5*d + b = -4*i - 341, 4*d - 4776 = -2*i. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 575*j**4 - 827*j wrt j.\nAnswer: 6900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**3 - c**2 + 2*c. What is the units digit of l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.7 - 11.753. Let u = -0.447 + f. What is the second biggest value in -2, u, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4238 - 5?\nAnswer: -423d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 10*s**2 + 5*s + 17. Let j be q(-8). Suppose -3*m - j + 111 = 0. Let b = -6 - -8. Solve f - m*f - b = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 = 592*v - 469*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 6. Suppose -a = -m*d + a - 5, 5*d + a = 9. Sort -3, 2, d.\nAnswer: -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 + 7*c + 8. Suppose -88 = -11*x - 132. Give h(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -38 - (-26 - -30) - 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*c + 114 = -66*c. Calculate the greatest common divisor of 4 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 - 6*m - 5. Let x be s(-4). Suppose -3*r = -4*g - 19, -3*g = -3*r - 4 + 22. Suppose 187 = 2*c + 183. Solve -c*t + r = -x*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 41*q - 5*q = 10*q + 400 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702413 is divided by 30539.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i + 0*i**2 - 1\/4*i**4 + 0*i**3 + 0. Let l(y) = -2*y**2. Determine l(q(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(4\/5))\/a*a)\/a)**(1\/44))**(-2\/17) assuming a is positive.\nAnswer: a**(-2\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8621, 8934, 9459, 10196?\nAnswer: 11145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.07 - 17957.\nAnswer: -17954.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**(-4\/5)*l*((l**(-2\/11)*l)\/l)\/l*l\/l**(-2) assuming l is positive.\nAnswer: l**(1173\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4268 (b) 0.3 (c) 0.576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 13*w**2 + 43*w**2 - 23*w**2.\nAnswer: -w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8749189*x - 3 - 1 + 3 + 0.\nAnswer: 8749189*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = c, -2*x + 2 = -2*c + x. Suppose -c*m + 78 = g, -6*m + m + 4*g + 195 = 0. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(1 + 4 - 6)*(23 - 23 + 4*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - ((-4 - -1 - -1 - -1) + 204 + -198).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - 4*l + 3*l + 5)*(-9 - 6 - 22) - 4*l - 2*l + 5*l as h*l + c and give c.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3253*c**2*x**4 + 5*c**2*x**3 + 80*c**2 - 37*c*x**2 + 2*x**2 wrt x?\nAnswer: -78072*c**2*x + 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4516?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 30. Calculate f(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3*i**6\/2 + 6*i**3 + 2189*i**2\/2 - 1303. Find the second derivative of d(q) wrt q.\nAnswer: 180*q**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140733939 and 36.\nAnswer: 1688807268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8520796 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2. Let h(i) be the third derivative of 31*i**5\/60 - i**4\/12 + 2092*i**2. What is c(h(u))?\nAnswer: 5766*u**4 - 744*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 75086470 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + 3*f**2 + (7*f - 2*f + 10*f)*(f - 4 + 4) - f + 2*f**2 + f.\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 9\/821?\nAnswer: 9\/821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*d + 2*x - 31, 10*d + 4*x = -16. Let 0*j**2 + 0*j + d + 5\/6*j**3 = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 2. Let l = -5 - t. What is the second smallest value in l, 5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/419 (b) 6\/13 (c) -2\/19 (d) 0.1 (e) -5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let w(c) = 28151*c. Calculate w(l(q)).\nAnswer: -28151*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-3)\/9*5. Suppose 4*j - l*b + 51 = 0, 0 = j + 4*j + b + 100. Calculate the common denominator of (j\/(-6))\/((-2)\/5) and -31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1052, 2110, 3172, 4238, 5308?\nAnswer: 6382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:44 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - 0) - (-1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 73*u - 13. Let n(h) = 2*h**2 + 72*h + 15. What is 6*k(b) + 5*n(b)?\nAnswer: 4*b**2 - 78*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and 11 + -8 + 271\/(-126)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 - 3 + 4 - 2 + 0 + 2 - 1 + 0 + (-3 - 3 + 4)*(1 - 4 + 4) - 4 + 4 - 1 + 4 - 3 - 3)*(-1865*y + 4478*y + 3289*y) to the form m*y + n and give m.\nAnswer: -53118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62688636, 125377271, 188065902, 250754529, 313443152?\nAnswer: 376131771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - 30\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 23*o = -24. Calculate the remainder when 44 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 849\/58 - 33\/29. Suppose -5*c = -c - 256. Suppose 4*t + 2*k - 5*k = c, -10 = -2*t - 4*k. Is t < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 12719.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24\/((g*g\/((g*g\/((g*g\/g**(4\/9))\/g)*g*g)\/g)*g)\/g))\/(g**(1\/13)\/g*g**(-2\/41)) assuming g is positive.\nAnswer: g**(121922\/4797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 66*l - 16. Let a be b(11). Suppose 0 = 67*p - 72*p - a. Let y = p + 252. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56c09100 + 1?\nAnswer: -56c090cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14 = 6. Suppose 5*j + 6 = 2*j + 3*n, 3*j + 2*n + 6 = 0. Sort 10, j, u.\nAnswer: u, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 43*y**2 - 196*y - 10. Determine v(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2172032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {a: 8, q: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -468 - -656. Suppose 3*q = b + 28. Suppose -u + 5*u + q = 2*r, r - 4*u = 44. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -196*o**3\/3 + 1652*o**2\/3 + 992*o\/3 + 48 = 0.\nAnswer: -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(12 + (-189)\/14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -0.3. Let q = 19.3 - j. Let x = -23.9 + q. Sort 0, x, 1\/4 in descending order.\nAnswer: 1\/4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -272 + 266. Let i(u) = -52*u - 297. Let x be i(f). Let h(w) = -w**3 + 16*w**2 - 16*w + 20. Give h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 1\/33095 (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.086 and -27260429523.\nAnswer: -27260429523.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 76329591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-3 + 2 - 33\/(-3)). Let v be (d\/574)\/(1\/6*-1). Let w = v + -47\/82. Which is the third smallest value? (a) 5 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-1) - (14\/(-35) - 3)\/(41\/123)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 0 - ((-17 - -4) + 27 + -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 0.022 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218547552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34696385 to four dps.\nAnswer: -0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 156 - 36 + 49 = 0 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 9366635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/126255 and -58\/627.\nAnswer: 1388805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17764?\nAnswer: 2, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 600 + -598. Sort -5, x, -6 in descending order.\nAnswer: x, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596924619.\nAnswer: 3, 71, 601, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -532 greater than or equal to -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8227, 2, -7, -5.\nAnswer: -8227, -7, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31523410 and -0.055?\nAnswer: 31523410.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*w = -102*w + 49. Suppose -w*x - 18 = -10*x. Let a(p) = 5*p + 2 - 11 - p. Give a(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 7 = -f - 8, 4*f + 12 = -4*h. Suppose 4*z = 4*n + 44, -2*z = -6*z + h*n + 42. Suppose -8*i = -z*i + 98. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - (5 + -10 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6376 - -6445. Solve -s*v = -65*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 4 - 3*h**2 + 2*h**2 - 4.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 57 = 247. Let q = k - 53. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.518ml in litres?\nAnswer: 0.534518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosvelv. Give prob of picking 1 e, 1 s, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6028 + 698 = 114*n for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a87 (base 13) to base 10.\nAnswer: -34756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-14)*737\/(-2948)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/6 + 19975*w\/6 + 4502474 = 0.\nAnswer: -18516, -1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 4559*b**6\/15 + 4685*b**4\/12 - 5*b - 139. Find the third derivative of u(g) wrt g.\nAnswer: 218832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:06 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 10\/(-4). Suppose -4*l + l - 107 = -a, 3*a = b*l + 307. What are the prime factors of a?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*z + 4*p, -2*z = 3*z + 2*p + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 967 = -2591. Is 62 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a + 497. Let s(q) = 12*q - 249. Calculate 4*o(h) + 7*s(h).\nAnswer: 4*h + 245","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 5 (c) -2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/4 + -35\/12. Let s = 29 - 28.9. What is the nearest to s in d, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 2*p**2 - p - 6. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35 - 0.35. Let u = 316\/21 + -46\/3. Which is the closest to i? (a) 3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (-11 - 46) - (1 + -4 + 3 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -137 (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + g**3 - g**2 - 5*g + 2*g**3 + 4. Let a(v) = v**3 + v**2 + 3. Let s be a(0). What is the units digit of d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-335)\/(-36)*155210\/(-3871525). Let o = 226249\/111035337 + -10\/5019. Let u = s + o. What is the common denominator of -33\/4 and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82244\/13 + 888\/(-1924)?\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x + 0*x**5 + 0 - 1\/60*x**6 + 5*x**2 + 1\/6*x**4 + 0*x**3. Find the second derivative of f(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - m + 23. Determine u(-13).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43594 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 0, 4*o + 5*p - 1545 = 2627. Calculate the remainder when o is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/8 + y**3 - y**2\/2 - 3*y. Let p(r) be the first derivative of l(r). Suppose -10 = -45*i + 47*i. Calculate p(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -1, 0.3, 657\/47 in increasing order.\nAnswer: -65, -1, 0.3, 657\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f + 222. Suppose 150 = g + 4*t, -g + t = -f - 49. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1088699312837+-1\nAnswer: -1088699312838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let y(j) = 1238229*j. Determine y(h(c)).\nAnswer: -2476458*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276230340 to the power of 1\/2, to the nearest integer?\nAnswer: 16620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-5)*(1 - 8). Let f = c + 4. Let t = 2 + -3. Sort f, 0, t in descending order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*n**2 - 316*n + 316*n)*(-12 + 8 - 1)*(-3*n + 0*n + 4*n) - 3*n - 5*n**3 + 3*n - 2*n as k*n**2 + y + q*n + u*n**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3966304 and 320804.\nAnswer: 43629344","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -61, 14, -5, 3, 8, -1 in descending order.\nAnswer: 14, 8, 4, 3, -1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -717*p**2 - 2855*p + 76. Determine i(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 9 - 9 = 0. Let t be 3 - 1*4\/s. Suppose 6*d = t*d + 155. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*y + 63689 = -854*y - 17207 - 12471 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - 1 - (1 + 0). Let p(h) = -h**2 - 6*h + 58. Let k be p(-11). Suppose -r = -k*q + 16. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -353 + -254. Let z = f + 606.9466. Round z to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10)\/a)**(-9\/5)*(a\/(a\/((a\/a**(1\/9))\/a)))\/(a\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(79\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 633\/1 - (135\/(-15) - -12). What is the greatest common divisor of 378 and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223897109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 30*s - 35*s = 4425, 3555 = 4*v + s. Let h = v + -569. List the prime factors of h.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0, -22429, 21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 - 2*c**4 + 2*c**4)*(254*c - 604*c + 1057 + 347*c).\nAnswer: 6*c**5 - 2114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317897.281 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 754?\nAnswer: -753.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*p - 191, 4*p - 5*b = 2*p + 158. Solve -p*r = -73*r - 24 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3 - 3)*(-6*j**2 + 22*j**2 + 56*j**2) as b*j**3 + h*j**2 + p + k*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/8)*v)\/v*v*v)\/(v*v**(-3)))\/(v*v**(-2\/7)*v)**(2\/103) assuming v is positive.\nAnswer: v**(22159\/5768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2 = -8. Suppose u - 2*q - 14 = 4*u, 0 = u - 5*q + 16. Let y be 7\/u*3\/(-21). What is the biggest value in 1, i, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*d = -2, 0*a + 2 = -a + 3*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 7. Let h(j) = -25*j + 15. Let v(l) = -5*a(l) - 3*h(l). What is the tens digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -21*d + 1548. Let n be a(72). Solve 0 = -n*b + 45*b - 63 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6864.642g?\nAnswer: 0.006864642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 9*w - 2. Solve 6 = -w*u + j - 4, -3*u = -3*j + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669891800 rounded to the nearest 1000000?\nAnswer: 1670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 1 - 7\/30*n**3 - 1\/20*n**4 - 1\/5*n**2 + 5*n. Let a(f) be the first derivative of s(f). Solve a(l) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 3*z - 95 = q, -z = -q + 11. Suppose 0 = 6*v + q - 4. Is v at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*j - 4*a - 6, 2*j + 95*a - 99*a + 18 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t + 3*t + (-12 + 7 + 16)*(0 + 0 + 3*t))*(0*t**2 - t**2 + 7*t**2) + 5*t**2 - 5*t**2 + 2*t**3 to n*t**3 + a + o*t**2 + p*t and give n.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38998 is divided by 727.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14470 or 5726?\nAnswer: 5726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -444153504*a**2 + 4754225*a - 22.\nAnswer: -888307008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, v: 6}. What is prob of picking 3 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6910*m - 3694. Give n(1).\nAnswer: 3216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111125403 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z + 12. Let c be 141 - 141 - (2 + -2 + -717). Suppose a = c - z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00947 - 4.06953. Let q = t + 0.019. Let b = q + 0.06. What is the smallest value in b, 5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0107707 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 24. Let h = s - -14. Let y = 38 + -39. Which is the third smallest value? (a) 3 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.061 + 483.939. Let n = v - 485.000486. Round n to five dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, t: 5}. Give prob of picking 4 t.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604*n - 603*n = -2*f + 2013, -9 = 3*n. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.01914289185.\nAnswer: 2.98085710815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 4344831942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7253180 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2270 (base 10) to base 11\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -59. Let j = -23 - x. Solve -j*w + 4 = -2*y, -w - 3*w = -y - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j - 8 - 7*j - j - j. What is the units digit of k(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6404 + 1650?\nAnswer: 11354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.88 - -1.055. Let w = t - 9. Let v = 0.05 + w. What is v rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:53 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (9 - 0 - -27)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*w - 87 = 2*w, -h = -5*w - 49. Let n be (-128)\/(-220) - 8\/h. Which is the closest to n? (a) 1 (b) -0.4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, -30, -83, -152, -243?\n\"Answer: -l**3 + l**2 - 39*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + p + 3*p = 28, c + 4*p - 16 = 0. Suppose 0 = 2*g + 6*q - c*q - 30, -3*q - 35 = -5*g. What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09081 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h + 16. Suppose -3*x + 27 = 2*v, 5*x + 2*v - 16 - 25 = 0. Let c be p(x). Let k = 167 - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339477908509 - u**2 - 339477908509.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90940 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/(-24) - 94\/(-6) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-2) - 5 - (-2)\/4. What is the fourth smallest value in -2, l, 1, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.89, 620, -17, -1\/3, 1?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 60060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 13348*s**2 + 40037*s - 26690.\nAnswer: (s - 13345)*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -76. Solve -3*w = 15, -j*v + 10 = 2*v - 3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from hhhhtvvvhhvcdvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -754049617, -754049615, -754049613, -754049611, -754049609?\n\"Answer: 2*i - 754049619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*g - 4*b + 2613 = 556*g, -4*g = 2*b - 2094. What is the highest common divisor of 336 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 9*q - 4. Let i(r) = r**2 - 3*r + 4. Let g be i(3). Suppose 0 = -g*a + 3*c + 2*c - 14, -3*a - 2*c = 22. Calculate z(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from khzzzhhhhhhkzhhz?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1*2)\/(1432\/(-1611)))\/(1\/(-4)). Which is the fourth smallest value? (a) i (b) 5 (c) -8\/15 (d) 0 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68832342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1596262174 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325120034 (base 6) to base 4.\nAnswer: 112102113112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 36138?\nAnswer: 36138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12698 + -6127. List the prime factors of t.\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 + 144*a - 435. Determine v(68).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -788, -787, -786, -785?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9359388 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.04 - -18. Let k = 49\/60 + -5\/12. Which is the closest to -2\/3? (a) k (b) n (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkmmmgm. Give prob of picking 3 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*(-4*h**3 - 2*h**2 + 2*h**2 + 105 - 105 - 8*h**3 + (4 - h**3 - 4)*(-3 + 5 - 1)).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282177 is divided by 6882.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*x - 6*x + 16*x + 3*x + 141*x to the form l*x + i and give l.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.06 (c) -4 (d) 33\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276573456?\nAnswer: 2, 79785841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, -8217.\nAnswer: -8217, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 35. Let x be d(10). Suppose -1089 = -x*a + 3*t - t, 0 = -2*a - 3*t + 428. What is the units digit of 0 + a - 5 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 17*a - 15. Let u be w(-18). Suppose u*t = 6*t - 792. What are the prime factors of (t\/(-15))\/(6\/(-15))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) + 7480\/476.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z. Let p be l(-3). Let r be 2\/p + 308\/63. Find the third derivative of -2*i**2 + i**2 - 2*i**2 - r*i**3 + 13*i**3 wrt i.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5817181777 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135 or 1175?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.49848 - 10.546. What is c rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/5 - 48*w**4\/5 - 567*w**3\/5 + 432*w**2\/5 + 5184*w\/5 = 0. What is w?\nAnswer: -24, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 3652?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y = -67218 + 68313 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**8*x)**(-18) assuming x is positive.\nAnswer: x**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3274065 centimeters in kilometers?\nAnswer: 0.000003274065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13646 - 11?\nAnswer: 13635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 - 7*v**5 + 14*v**5 + (6*v**4 - 4*v**4 - v**4)*(-4*v + 4*v + v) - 3 + 3 + v**5 + 3*v**2 + 4*v**5 - 3*v**2.\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*d**3 - 291*d**3 - 401*d**3.\nAnswer: -835*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, 182, 415, 648?\n\"Answer: 233*v - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/(q\/(q**21\/q))*q*q*q*q**(3\/5)*((q*q*(q\/q**(-36))\/q)\/q)\/q)**(-11\/8) assuming q is positive.\nAnswer: q**(-737\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1157*j**2*m**3 - j*m**3 + 3*j*m**2 - 16*m wrt j.\nAnswer: 2314*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 = -2*i - 2*m, -5*i + 16 = 2*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 4. Let c be f(8). Let l be 100\/(-4)*(0 + -8). Suppose 0*x + l = 4*x. What is the greatest common factor of c and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 18*r\/5.\nAnswer: -r*(r - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, d: 3, x: 3, u: 1, y: 3}. What is prob of sequence yw?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(75) + 0)*-2)**2 - 4*-3*sqrt(75)) + 2).\nAnswer: 300*sqrt(3) + 1510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697019 take away 0?\nAnswer: 697019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1423018, 2846038, 4269058?\nAnswer: 5692078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6) + 46\/12. Let o(v) = -3 + h + 33*v + 5 - 5. Does 14 divide o(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 11. Let f be q(3). Solve 5*m - 15 = f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407452838.\nAnswer: 2, 13, 17, 921839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 12470.\nAnswer: 87290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3344522 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -341*r - 202. Let n be c(-12). Suppose -2115 = -2*k - 4*t - 163, 4*k = -t + n. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 62 = 70. Suppose 5*l + 183 = -y*s + 633, s - 125 = 5*l. List the prime factors of s.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110687 bigger than 110680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58882 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -4.1. Let z = -3 - l. Which is the closest to -1? (a) z (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16975307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -7\/2*l**2 + 71 - l + 0*l**4 - 10*l**6 + 0*l**3 + 0*l**5. Find the second derivative of d(w) wrt w.\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 8. Let l(z) = z**3 + 15*z**2 - 18*z - 26. Let g be l(-16). Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/(i\/(i\/(i*i\/(i\/(i*i\/i**(-9)))))))\/i*(i\/(i*i**(-1)))\/i)\/((i*i**20)\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 16*b**2 - 159*b - 2408. Determine o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-16)*55\/(-198)*32\/40. Put 2\/5, -93\/4, -1, w, -5 in increasing order.\nAnswer: -93\/4, -5, -1, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(-1 + sqrt(325) + sqrt(325)) + -4.\nAnswer: -29 + 250*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8473 - 8455. Solve 2*j = 3*j - i + 7, -2*j = -4*i + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*i - 28048 - 23312 = 0 for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -128*i*p**2 + 2823693*i - 39733*p**3 + p wrt p.\nAnswer: -256*i*p - 119199*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, 138\/11 in descending order.\nAnswer: 138\/11, 2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 245 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -12271 - 12278 + 24566 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196 or 40?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85500529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24000\/(-9))\/(5\/(-3000)). Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951388, 951390, 951392, 951394, 951396?\nAnswer: 951398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 18 = -4*o, 5*o - 3*u = -8*u. What is the units digit of (0 - (-112 - o)) + 12\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1980 = -5*n - 4*n. Calculate the highest common divisor of 88 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {j: 3, s: 7, m: 8}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -1. Let l be 12\/30 - m\/5. Calculate the remainder when 73 is divided by 0\/l + 25 + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23507, 0, 12037?\nAnswer: -23507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6050660?\nAnswer: 2, 5, 7, 11, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**12\/(c\/(c\/(c**(4\/9)*c))) assuming c is positive.\nAnswer: c**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-269 - 1)*1\/((-15)\/6). Let c = -45 + u. Let z = 62 - c. Is 1\/5 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = 2*i + 14, 3*l - 12 = i. Suppose 0 = -4*r + 5*r - l. Solve 3*d + r = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b - 437. Let l(u) = 21*u + 436. Determine 2*l(y) + 3*n(y).\nAnswer: -3*y - 439","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.8 + -101.8. Let q = -0.06 + -0.24. What is the closest to 0 in v, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 76. Let n be x(0). Suppose -a = -3*o - 0*a + n, -5*o = -5*a - 130. Solve t + o = 6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102001112 (base 3) to base 9.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let b = -10 - -17. Let x be n(b). Let l = 6 + x. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 39 + 10)*(-13*h**2 + h**2 + 4*h**2).\nAnswer: -264*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/386 and -73\/14.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -676264, -676259, -676254?\n\"Answer: 5*l - 676269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32142503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-160))\/(-21*(-50)\/875)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 40 = 16*m - 17*m, -2*r + 76 = m. What is the tens digit of 4\/((r\/10233)\/((-2)\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8064) - (sqrt(8064) + 3*-3*sqrt(8064) + sqrt(8064)) - sqrt(8064))*-5)\/(sqrt(48)\/(sqrt(54)\/sqrt(9)) + (4*sqrt(64))\/sqrt(8)).\nAnswer: -84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -670\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3071 (b) -5 (c) -0.1 (d) 0.4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = -221, -4*i = -4*u + 2632 - 2568 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 8, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-6*r + 12*r - 3*r)*(-2*r + 2*r - 2*r + 3*r - r - 3*r + (4 - 1 - 1)*(-2*r - 3 + 3)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*g = -457*g. Let j(a) be the second derivative of 1\/24*a**3 + g*a**2 - 5*a + 0 + 1\/120*a**6 - 1\/80*a**5 - 1\/48*a**4. Factor j(m).\nAnswer: m*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16137 + -290387\/18. What is the common denominator of f and -137\/204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (((-189)\/(-30) + -7)*-50)\/(19\/5).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from winprnn. Give prob of picking 1 n and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*v = 744 - 254, -5*d = v - 598. Let w = d - -41. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 868762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 46. Solve 3*o + w = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 8*t**2 - 4*t - 8. Let f be r(-4). Let j(y) = 6*y - 6. What is j(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) 5 (c) 4\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 32679086?\nAnswer: -7\/32679086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(1\/2 - (-4)\/8). Let s = 0.8 + -0.3. Which is the closest to 2? (a) 0.4 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3768 is divided by 101.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + i - 1 + (-i - 6*i + 3*i)*((6 - 2 - 2)*(0 + 0 + 2) + 2 - 1 + 0 - 3 + 1 - 1).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360 - 71*h + 717 - 355.\nAnswer: -71*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 11:49 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 2. Suppose 18 = -5*v - a, -5*a - 42 = 4*v - 15. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -786. Let a = i - -751.000329. Round a to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21230241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 8*o**2 - 21*o + 3. Let x be 9\/(4 - 1) - 13. Let k be f(x). Suppose 0*z + 12 = 6*z. Solve 0 = z*h - 5 + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15.98 or 10?\nAnswer: 15.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -673 + -8?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 170477617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -18. Sort c, 0.4, -0.1 in ascending order.\nAnswer: c, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((-12)\/210).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5778.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1290 and 49110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/121 and -79\/2290970?\nAnswer: 25200670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*r - 5*y, -2*r + 4*y + 82 = 88. Solve c = -2*q - 15 + 21, -r*q + 25 = 5*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14604451691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022012101022 (base 3) to base 2.\nAnswer: 10101001001001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - -3. Suppose -i*g = -19*g. Suppose -6 + g = -2*l. Put 0, -5, l in descending order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -5. Let m be 52\/416 - (-1)\/(-8). Suppose 0 = -5*s - 5*a + 10, 3*s - d*s - 3*a + 6 = m. Solve s = -5*v - 5 - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18685097833523 and -0.9.\nAnswer: 18685097833522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r + 13. Let v(d) = 6 + 7 + 3*d + 2*d**2 - 1 + 2*d. Let k(x) = -3*s(x) + 2*v(x). What is the tens digit of k(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47435*d**5 - 48210*d**2 + d wrt d?\nAnswer: 2846100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10774, 12062, 13484, 15046, 16754, 18614, 20632, 22814?\nAnswer: 25166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*g + 14*g + 261. Calculate the highest common factor of g and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(2\/16*-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 18500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = h - 7, -353*h - 19 = -350*h + 591*t - 596*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r*r\/r**2)\/((r*r**(5\/7))\/(r*r**2)) assuming r is positive.\nAnswer: r**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -939\/2*j + 293907\/4 + 3\/4*j**2 = 0?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 9 = z + 7*z. Solve -13*l + 10*l - z*o - 3 = 0, -2*o + 6 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 28. Let l be (-4)\/(-18) - 125\/q. Suppose i - 76 = -8*a + l*a, 0 = -5*a + 2*i + 88. Solve 0 = -4*w + 5*n + 14 - 50, -w - 5*n + a = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 37243424*p\/9 + 4138158.\nAnswer: 2*(p - 18621711)*(p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 14\/(-21)*-3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -6*o + 8*o - 1, 3*j = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 2 + (-54 - -56)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6166763998 and -0.02?\nAnswer: 6166763997.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188 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 -88\/75 and (2\/2750)\/(53447\/(-5945) + 9).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278 times -145\nAnswer: -40310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/7 + (-14)\/49. List the prime factors of (-53280)\/(-99) + (70\/(-22) - u).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edlp when four letters picked without replacement from aaedlllaep.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74777 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 353 - 12. Suppose 0*b - 4*b = -44. Suppose 0 = b*t - 14*t + 93. What is the highest common factor of t and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*p - 30*p - 33*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 4 = 6*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + 2*t + 39. Let d(c) = 6*c**3 + c**2 - 7*c - 116. Determine -2*d(a) - 7*v(a).\nAnswer: 9*a**3 - 2*a**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234 (base 11) in base 12?\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 35*y + 188 + 275 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Suppose 0*g + 3*g = 3. Let n(o) = -5*o + 6. Let k(t) = g*n(t) - 4*j(t). What is k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.766349488 to two dps.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 38?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2\/3 (c) -6 (d) -0.19 (e) 3\/7 (f) 0.10618\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 + 5.6. Let t = -0.2 - -0.3. Which is the smallest value? (a) h (b) -5 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 4. Suppose 0 = u*k + 5 - 13. Let v(r) = r**2 - 2*r + 2. Determine v(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-4)\/(-24)). Suppose 4*q - z - 50 = 0, 0*q + z - 22 = -2*q. Let c be 3\/q*0 - -2. Which is greater: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/45)\/(-3)*-5. Let o(w) = -27*w - 3. Let r(a) = -3*a - 1. Let d(c) = y*o(c) - 4*r(c). Give d(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41793*-33\nAnswer: 1379169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15946*u + 1594582. Determine i(-100).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-18))\/(28\/21).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -33*w + 112. Let u(v) = -21*v + 112. Give -2*g(o) + 3*u(o).\nAnswer: 3*o + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b + 221. Let s be u(-18). Find the third derivative of 2*y + 16*y**2 - 7*y + 22*y**2 - 115*y**s wrt y.\nAnswer: -6900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 682, 1024, 1368?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1838773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-38057)\/1805)*(-35)\/(-14)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8536 < 2251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -117\/71 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 + 234617?\nAnswer: 234653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 1\/6*f**3 + 5\/6*f**2 + 0 - 1\/6*f**4 + 1\/2*f = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/6)\/((-18)\/27). Let r be (3\/s)\/((-54)\/(-16)). Let w = 0.8 + -0.4. Sort w, 0.5, r in ascending order.\nAnswer: r, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10329037\/(-1143)*9\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/18 - 2) + (13 - 6) + -10. Which is smaller: y or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*f**2 + 39*f**2 + 63*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 + -258. What is the third biggest value in 3, -3, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b026 (base 15) in base 5?\nAnswer: 204102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/(-3))\/(2\/183)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1324 and 89\/12?\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23*j**2 + 9*j - 5. Let c(t) = -48*t**2 + 18*t - 10. Let p(y) = 3*c(y) - 7*z(y). Let g(d) = 4*d**2 - 2*d + 1. Give 18*g(r) - 4*p(r).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000295142 to five dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/76 and (-12)\/(-27) - (-7945)\/(-83790).\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:26 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 967872*c + 13. Let l(y) = -y. Calculate u(l(p)).\nAnswer: -967872*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600.131kg in nanograms?\nAnswer: 1600131000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23948\/89 or -270?\nAnswer: -23948\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*419.8024\nAnswer: 209.9012","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 3*m - 5, j = -2*m + 4. Suppose 0 = -h + 4*r + 4, -2*h - 3*r + 14 = -7*h. Put j, 0, h in decreasing order.\nAnswer: j, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 395 + 1463. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3)\/204)\/((63\/(-7))\/(-36)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 2628 - 114*z + 0*z**2 - 329*z + 915*z - 872 = 0 for z.\nAnswer: -125, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*z - 5 = 0, -6*a + 2*a - 2*z = 30. Let b(p) = -205*p + 84. Let h(v) = 2*v. Let m(f) = a*h(f) + b(f). What is the first derivative of m(w) wrt w?\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*v + 4*f, 6*v + 37 = v + 3*f. Let m(z) = -3*z - 6. Determine m(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -736 - -2?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 302, -3, 0, -2, -53?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 - 6*n - 7. Let i be k(-3). Suppose i*p + 2*p = 84. Solve 3*d = -5*s - p, -9 = s + 4*s - 3*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-3)*3*16\/912*95.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**3 + 4*u**2 - 23*u + 63. Give w(3).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 5*l + 195, -3*l - 5386 = -5371 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2106 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 13*l**2 + 13*l - 6. Let w(t) = t**2 + 10*t - 107. Let p be w(-17). Give y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) + (-4 - -8). Solve 0 = 5*m + u + 3*u, m = d*u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - (sqrt(204) + 1*sqrt(204)*-4)) - -2*sqrt(204)*-5)\/((sqrt(972) - -2*sqrt(972) - sqrt(972))*-1)*-6.\nAnswer: -13*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*q**3 - 226*q**3 + 117*q**3)*(-7*q + 2*q + 4*q).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 + 522860*f**3 + 1376*f**2 - 32*f - 1 wrt f.\nAnswer: -120*f**2 + 3137160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3*-3.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7844818, 15689599, 23534380?\nAnswer: 31379161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 3*l + l + (3 + 0 - 2)*(-5*l + 2*l + 2*l) - l - 4*l + 3*l + 0*l + 0*l + 2*l + 29*l - 4*l - 12*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n**13\/n)\/((n\/((n*n*n\/n**15*n)\/n)*n)\/(n*n*n**(-16)*n*n*n)) assuming n is positive.\nAnswer: n**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5930963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -797*p**4 - 728*p**4 + 1045*p + 631*p - 468*p**4 wrt p?\nAnswer: -23916*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v**2 + 2*v**2 + v**2 + 3*v**2 - 2*v**2 + 0*v**2 + (4*v - 3*v + 0*v)*(0*v - 2*v + 4*v) + 2*v**2 + v**2 - 2*v**2 + 2*v - 24437 + 115*v**2 + 24437.\nAnswer: 116*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v**2 + 2*v**2 + 3 - 3*v**2 - 3. Let b(h) = -129*h**2. What is s(b(p))?\nAnswer: -249615*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.1. Let m be (1\/(1773\/(-600)))\/((-49)\/(-98)). Let x = -2\/197 - m. What is the nearest to x in r, 7\/6, -0.1?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*o**2 - 87*o**2 + 178*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 175 - 156. Suppose -33*o + 56 = -f*o. Solve o*u = 12 - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/64)\/(335\/1072)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfk when three letters picked without replacement from {f: 5, y: 3, k: 2, m: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*m + 1 + 1, -2*a - m = 2. Let l = a - -22. Solve 0*q - 5*q - l = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1349, -1341, -1331, -1319, -1305, -1289?\n\"Answer: g**2 + 5*g - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -199981?\nAnswer: -199976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150042 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -612 + 615. Let x(g) = g**2 + 3*g - 2. Let a be x(-3). Let n be (-1 - j\/a) + (-6118)\/(-4). Round n to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39915610 and 15050?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -741 + 4*t - 424 + 2003 - 6*t - 422 - 416.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*63\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 12. Let p be (3\/2)\/((-3)\/w). Factor 2\/3*k**p - 2\/3 + 0*k.\nAnswer: 2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 21210?\nAnswer: 22\/10605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(75) - ((sqrt(18)*2)\/sqrt(6))**2.\nAnswer: -15*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 at least as big as 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 = -o, o + 4*f - 5*f = -7. Let z be o\/((1 - 0)\/1). Let d be z*(-4)\/6*1. Solve d*i = -3*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 780857.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101992 and 1254.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-2)\/6) + 1. Let u be (2\/(-2))\/(1\/(-23)). Let z = u + y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 9*v + 4. Let j = 664 + -656. Determine u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 14*i**2 + 8*i + 0 + 8*i + 71.\nAnswer: -i**3 - 14*i**2 + 16*i + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 3*g + 3. Let q be s(3). Suppose -q*r + 0*w + 17 = -2*w, -3*w - 27 = -5*r. Factor r*d**3 + 21 + 14*d + d + 12*d**2 - 15.\nAnswer: 3*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -136*i + 2914. Calculate a(14).\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223678308 + -0.0437?\nAnswer: -1223678308.0437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5155 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 2) + -5 + 2 + -9 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/140 and 167\/9613800?\nAnswer: 9613800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 1. Let k(a) = -a. Suppose 3*f - 15 = 3*n, 0 = -f + 3*f + 2*n + 6. Determine f*l(x) + 2*k(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*(8856\/(-8))\/41.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (186 + 167*n - 157*n - 4*n**2 - 185)*(4 + 0 - 6 - 6) in the form m*n**2 + z + l*n and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by (-1)\/(-2) - (-189)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -8*x**3\/3 - 2*x - 100. Let w(n) = -8*n. What is i(w(z))?\nAnswer: 128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 332\/8134*21\/12?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27948 divided by 68?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e82 (base 16) in base 14?\nAnswer: -44a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -3*c - c, 8*q - 190 = 4*q + 4*c - 134 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 5. Let s(j) = 1. Let r(h) = s(h) - t(h). What is r(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 74915*v**3 - 10832455*v**2 + 21440185*v - 10682640 = 0. Calculate v.\nAnswer: 1, 144, 14837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 46 - 26 - 58 + 244. Let u be x(-14). Solve -r + 5*g + 20 = 5, 3*g = u*r - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1025*w**2 - 2197*w + 2198. Give p(1).\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -10.5. Let o = -6 - -3. Let r = o - -2. What is the nearest to r in w, -4, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f)**(-2\/107)\/(f**0)**(-17\/2) assuming f is positive.\nAnswer: f**(-2\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y**2 + 7*y + 29. Let r(n) = 67*n**2 - 35*n - 145. Let q(u) = -11*o(u) - 2*r(u). Let t(s) = -5*s**2 + 4*s + 14. Determine 4*q(p) + 7*t(p).\nAnswer: p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 658, 661, 664, 667, 670, 673?\n\"Answer: 3*f + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*u - 53*u = 64 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*f. Suppose f*y = y + 3*z + 73, -y + 2*z + 74 = 0. Let q = -381\/5 + y. Is 1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -3*s**4\/8 - 4*s**3 + 59*s**2. Is 5 a factor of i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k**2 - 6. Let c(f) be the first derivative of 7*f**3\/3 + 5*f + 2. Suppose 2*x - 6 = -16. Determine x*m(s) - 6*c(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1414, 1075, 7.\nAnswer: 0.4, 7, 1075, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 8:46 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 3*r - 11, -q + 2*r + 6 = 0. Suppose -16 - 20 = -4*h. Let d = q + h. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a9e - 4b?\nAnswer: 4a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(704) + 2)*5 + ((sqrt(704) + sqrt(704) + 0)*1 - (sqrt(704) + 1*sqrt(704))*5)**2)*-4 + 0.\nAnswer: -180269 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.2. Let i = -0.1177 + -3.8823. Which is the second biggest value? (a) -2 (b) h (c) i (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2368883805 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9263430?\nAnswer: 2, 3, 5, 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 766116 and 212810.\nAnswer: 3830580","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (9 - 9) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(120)\/(sqrt(48)\/(sqrt(32)\/sqrt(4)) + sqrt(6)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36532 - 51927.567.\nAnswer: -51927.20168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**2 + y - 1. Let n be b(1). Let h(g) = 2*g**2 + 6*g + 2. Let p be h(n). What is the greatest common factor of 110 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-g**2 - 1 + 1)*(-1 + 8 - 3 + (-1 + 1 - 1)*(-3 + 0 + 1)) to a + y*g + r*g**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -381 divided by -440612\nAnswer: 381\/440612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39.64 in 16, 4, 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.981922 microseconds?\nAnswer: 6981.922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 275, 541, 825, 1127, 1447, 1785, 2141?\n\"Answer: 9*p**2 + 239*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 5*c - 0*c. Let d = c - -11. Let j be 1 + d + -3 + 1. Solve 0*m + m - j = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-48)*(48\/(-45))\/4. Let y = 485\/3 + -5819\/36. Let j = y - z. Which is the closest to -2\/7? (a) j (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100110000001111000110000?\nAnswer: 100110000001111000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -20, -29, -42, -59?\n\"Answer: -2*t**2 + t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0 + 53655\/(-24). Let l = d + 2244. Calculate the common denominator of 29\/14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1190 - 595. Let i(j) = 35*j + 6. Let l(b) = -3465*b - 595. Determine c*i(y) + 6*l(y).\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*q - 194*q**2 + 164*q**2 - 315*q**2 - 346*q.\nAnswer: -345*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1087887537 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 23*f**2 + 42*f - 4. Determine k(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let y(z) = -30*z. Suppose 0 = 3*k + 2 + 1. Let s(u) = k*y(u) + 36*c(u). Let f(v) = -13 - v + 13. What is s(f(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*w = -85, k + 2*w - 2 = 16. Let r be -3 - -3*k\/12. Is (1438\/4)\/(r\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -z - 2 - 5 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**5 + 5*k**2 + 68*k wrt k?\nAnswer: 140*k**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12543201.074 and 1574.\nAnswer: 12544775.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (-42 - -19) + 11 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*x = 32, 0 = -5*k - 0*k + 4*x - 46. Calculate the remainder when (57\/6)\/((-1)\/k) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*a + 7 = 0, 2*q - 1 + 3 = 2*a. What is the second smallest value in -2\/11, 0.3, q, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j + 61 + 68 = -188*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1 - 13*m + 8.\nAnswer: -13*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from djjadddddd.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -12. Let m be (1\/3)\/(5\/z). Is (1 - 3) + (22 - m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6532667?\nAnswer: 23, 431, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1067*a**2 + 66*a. Let z(y) = 17 - 10*y + 5*y - 23 + 82*y**2 + 6. Calculate 5*m(u) + 66*z(u).\nAnswer: 77*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*j - 12 = -199*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(832)) + sqrt(832) + 4 + -2*sqrt(832) + 1)**2*3.\nAnswer: 1440*sqrt(13) + 89931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131\/3 - -44. Let c be (-25)\/(-78) - 4\/24. What is the second smallest value in c, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3607*313\nAnswer: 1128991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.255 and -24.\nAnswer: -33.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kczcymcykyczcyc. What is prob of picking 1 y and 1 c?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 21*m + 6. Let c be n(0). Calculate the common denominator of -37\/16 and c\/(-260)*(-2120)\/(-240).\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4556715 years in millennia?\nAnswer: 0.0004556715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b**2 + 4*b - 2. Let h be r(2). Let s = 163 - h. Let g = 348 - s. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -6592 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - y**4 + 2*y**4 + (12*y**2 + 0*y**2 - 6*y**2)*(94 - 94 - 2*y**2) + (5*y**2 + 3*y**2 - 6*y**2)*(-3 - y**2 + 3).\nAnswer: -13*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 614, 1236, 1860, 2486, 3114, 3744?\nAnswer: 4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 3\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 16*i**3 - i**2 - 18*i**3 + 130.\nAnswer: -2*i**3 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/5)\/((-8)\/(-5)). Let d = 433 - 433.19. Let z = 0.69 + d. Which is the closest to -0.1? (a) o (b) z (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (24 + -27 - (0 - 8)) - -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41531 smaller than 41504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (352\/(640\/(-80)))\/(1*2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 82.3. Let d = -4.7 - f. What is the closest to d in 22, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d057 (base 16) in base 14?\nAnswer: -15619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135774.6212 and -0.503?\nAnswer: 135774.1182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*l - 24, 4*l - 5*g = 53 - 83. Solve 8*x + 26 + 14 = l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 8 = 2*z, 2*z = -2*n + 8. Which is greater: 12 or n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 2*b)*(-94*b**2 - 4957*b + 2476*b + 2479*b).\nAnswer: -188*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -21*w + 613. Let n be o(32). Which is bigger: -115\/2 or n?\nAnswer: -115\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**7\/21 + 7*i**4\/12 + 8*i. What is the third derivative of f(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1666 and 57\/342*(-261)\/(-4).\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -5*r**2 - 25 - 1\/3*r**3 - 18*r. What is the remainder when 7 is divided by q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q**2 - 4*q - 2. Let d be r(-1). Suppose -d*s + s + 2*t = 7, 2*s + 3*t = 7. What is the closest to -2 in -0.3, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001722420886 to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10*-55*1. Suppose -6*p + 140 = 14*p. Solve u*q + p = -26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**34\/(g**(2\/3)\/(g*g**(-2))))**(1\/2) assuming g is positive.\nAnswer: g**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567402 is divided by 720.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.024, -0.5, -155\/8 in descending order.\nAnswer: -0.024, -0.3, -0.5, -155\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1524190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1164, -1158, -1142, -1110, -1056, -974, -858?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84083 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126450 is divided by 142.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90554 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x**2 + 29770*x + 56460130. Let q(i) = 2*i**2 - 7436*i - 14115031. Let l(j) = -6*g(j) - 22*q(j). Factor l(t).\nAnswer: -2*(t + 3757)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14382 by -7191.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -2, 13, -1, 7852.\nAnswer: -2, -1, 4, 7, 13, 7852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (90062 + -48)\/(28\/(-21)*(-3)\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q - 23 = -3*d, -q - 8 = -2*d. Let h(s) = -5*s + 8. Let w(j) = -21*j + 32. Let o(b) = q*w(b) - 9*h(b). Does 13 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/4 - 177*l**3 - 699*l**2 - 696*l.\nAnswer: -3*l*(l + 2)**2*(l + 232)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-27)\/12)\/(-3)*20380\/15.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*g + 25*g - 5*o + 48, -g - 2*o + 15 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggb when four letters picked without replacement from {b: 4, k: 4, g: 7}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (594 + 1587 + 871 - 177)*(7*v**3 + 4*v**3 - 18*v**3).\nAnswer: -20125*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1721 + -13?\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/6)\/(((-518)\/(-1295))\/((-24)\/10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2148 - 2136 - 1735 - 22*j + 6032.\nAnswer: -22*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {n: 4, e: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 103434001 (base 5) to base 4\nAnswer: 1232130120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1466 - -4027. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.11 + -0.11. Let y = 2 - 0. Let x be 16\/6 - y\/(-6). Which is the biggest value? (a) 2 (b) h (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -956, 14, -2, -48 in decreasing order.\nAnswer: 14, -2, -48, -956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:13 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*c + 3*c - 2*o, 4*c = -3*o + 46. Let v(j) = j**2 + 10*j - 6. Let h be v(-10). Let r be (-7)\/(42\/(-12))*h\/(-4). Solve r*u + c = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from zrurrurrlzuzzi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 0*n**3 + 1\/4*n**4 - 1\/10*n**5 + 0 + n + 0*n**2. Find the third derivative of s(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let i(x) = x**2 - 2*x + 5. Let p(k) = i(k) + 6*l(k). Is p(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2)*1268\/(-12). Let o = 53 + y. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, 970, 3695, 8964, 17617?\n\"Answer: 140*h**3 + 12*h**2 + 5*h - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50397 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1025 and 5150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 2*v**2 + 10*v + 28. Let c be q(5). Factor 2\/11 - 6\/11*m - 2\/11*m**c + 6\/11*m**2.\nAnswer: -2*(m - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 11 = -133. Let w(l) = 4*l + l + l - 19 - 74567*l**2. Let z be w(p). What is z rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79*c**3 + 72*c**3 - 47*c**3)*(-4 - 13 - 7)*(2*c + 2 - 2) to the form r*c**3 + i + z*c + o*c**4 + x*c**2 and give o.\nAnswer: -4992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -37.\nAnswer: -34\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 20784\/42593 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 694189 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84563920 by 2.\nAnswer: -42281960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/6 - 186\/(-279). Suppose -26*w = -j*w, 3*h + w = 29193. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 9*v - 7. Determine i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -h, -3 = 5*z + 4*h - 14. Factor 1 - 9*w + 2*w**3 + 4 + 8*w - w**z - 5*w**2.\nAnswer: (w - 5)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 108. Let n(h) be the first derivative of -1455*h**4\/2 - 5. Let u be n(b). Round u to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 873803.2um?\nAnswer: 0.8738032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-117) + (-38)\/(-78). Let g = -2 + 1.9. Let r be -2 - (2 + -2) - (-160)\/90. Sort y, g, r.\nAnswer: r, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -17. Solve d*g = 2 + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t**2 - 6*t**2 + 21*t**2 - 3*t + 11*t - 2. Let p(n) = -3*n**2 - 3*n + 1. Let v(h) = 2*m(h) + 5*p(h). What is v(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) - (sqrt(1100) + 1*(0 + sqrt(1100) + sqrt(1100))) - -5*(sqrt(1100) + -4 - sqrt(1100))))*5.\nAnswer: -100*sqrt(11) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-168)*(-1 - 2\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -8*s - 75 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - 169 + 87 - 2*b)*(3 + 0 + 3).\nAnswer: -12*b + 414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 - 1138*m - 5544946\/3.\nAnswer: -(m + 2662)*(m + 4166)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 - 2*h**2 + h**3 - 7*h**2 + 24453 - 24472 - 9*h**2.\nAnswer: h**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -6269753\nAnswer: -4\/6269753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 2)*(5*y - 5*y + 2*y) - 4*y + 6*y + 0*y + 4*y - 5*y - 2*y)*(4*y - 7*y**2 + 1 + y**2 + 7*y**2).\nAnswer: y**3 + 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 5. Let r = -170859\/138509 + 408\/421. Let g = r + -1\/47. What is the nearest to -0.1 in -1\/2, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 10*s**2 + 7*s - 11. Let k(h) = 2*h + 13. Let j be k(-11). Let t be m(j). What are the prime factors of (-172)\/(-7) - 4\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3*(-8)\/(-204)). Let d(v) = 3*v**2 + 8*v + 13. Let i be d(-4). Let f = z - i. Is f smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 + 3*b**5 - b**5 + (-26 + 26 - 3*b**4)*(3*b - 3*b + b).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-31)\/93)\/(2\/(-30)). Let x(p) = -4*p - 2. Let y(d) = -d - 1. Let f(o) = -3*x(o) + 10*y(o). What is f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**4\/3 - 29*x**3\/3 - 15*x**2 - 23*x - 1. Let m be n(15). What is the second smallest value in m, -1\/6, -7\/36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 79. Let g be 1463\/(-38) + (-3)\/(-6). Let f = t + g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w - w + w + w. Let r(x) = 3*x + 3. Let p(o) = 2*n(o) - r(o). Let k be p(-10). Let v(u) = 2*u - 5. What is v(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11018 - 5472. What is the derivative of -5546*y - 1 + 3 + a*y + 2*y**3 + 24*y**2 wrt y?\nAnswer: 6*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -400*p**2 - 170*p + 170. Let s(d) = 7*d**2 + 3*d - 3. Let f(o) = -340*s(o) - 6*y(o). Let w(i) = -i**2. Calculate w(f(z)).\nAnswer: -400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, x: 1, z: 1, u: 1}. What is prob of picking 1 x and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(169 + (-2 - -1)). Let z = -17 - -5. Let w be ((-7)\/(-2))\/((-2)\/z). What is the highest common divisor of d and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5646 in -0.728, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2.2518, 1\/1863.\nAnswer: 1\/1863, 2.2518, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2365.273 to the nearest 10.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -23*a**5\/10 + 2567*a**4\/12 + 8*a - 37. What is the third derivative of k(p) wrt p?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*d + 13, -w - d + 6 + 13 = 0. What is the smallest common multiple of w and 602?\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.47 in 1\/7, -0.1, 2\/13, 2.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3723 and 3279.\nAnswer: 4069239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.2 (b) -2 (c) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c + 231. Let f be b(-13). Suppose -3*k = u + 2*k - f, -u + 29 = k. What is the smallest common multiple of u and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0*p**2 - 2*p - 2*p**3 + 25 + 5\/3*p**4. Let r(s) = 0. Calculate s.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 40. Let y(z) = -l*z - 5*z - 6 + 3*z - 1. Let m be y(-5). What is the greatest common divisor of m and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*sqrt(27)\/(sqrt(18)\/sqrt(2))*-5.\nAnswer: 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 19*a + 32760 = 0. Suppose -4*z = -380 - a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3238 = 2*w, -4*j + 8067 = 32*w - 27*w. What is the least common multiple of 10 and w?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633*-30.\nAnswer: 18990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.14 (b) -1\/13 (c) -2\/59 (d) 1 (e) 3 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 + 6 + -24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 10000111011011000011?\nAnswer: -10000111011011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2640346 divided by -1320173.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46800 times -2?\nAnswer: -93600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14979 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171893050 to the nearest integer?\nAnswer: 13111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-8)*(-24)\/(-9). Let g(n) = -2*n**2 - 6*n. Let y(z) = -6*z**2 - 17*z. Calculate x*y(v) - 17*g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63.0000000858 + -63. What is r rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10811 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/27)*q)\/((((q*q**(-9))\/q)\/q)\/q))\/(q**2)**(22\/9) assuming q is positive.\nAnswer: q**(194\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(-7\/5))*f))\/((((f\/(f\/(f*f**(2\/7)*f)))\/f)\/f)\/f))**(-10)\/((f**(-2)\/f)\/(f\/(f**(-1\/7)\/f))*f**(-4\/5)\/f*f**(-2\/11)\/f*f) assuming f is positive.\nAnswer: f**(-771\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/14615 and 73\/948.\nAnswer: 175380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -351946 (b) -2\/13 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/3 - w**3\/2 - 3*w**2\/2 - w. What is the tens digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 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: Work out 21349.3 * -1.59.\nAnswer: -33945.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/9 - 128*y**4\/3 + 149972*y**3\/9 - 8139344*y**2\/9 - 5576710*y\/3 - 8440432\/9 = 0.\nAnswer: -403, -1, 77, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13663492.\nAnswer: 2, 503, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 19 + 39)*(-4*w - 8 + 8)*(1 + 1 + 1) as f*w + v and give f.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 2, w: 1}. Give prob of sequence fw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -80. What is the second smallest value in h, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/6)\/((-78)\/104).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f + 2*f, -2*j + 5*f - 51 = 0. Let v = j + 40. Suppose 74 = -4*i + 54, 0 = -4*m + 2*i + 90. Calculate the smallest common multiple of m and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 94. Let -t*r - 1 - r**3 + 43*r + 0*r**2 + 3*r**2 + 2 = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 + 30*t + 75. Let w(o) = o**2 - 6*o - 15. Let s(h) = 2*d(h) + 11*w(h). Let m be s(7). Let u = -1 - m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 97015 = -25306. What is the remainder when x is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 51*i - 522. What is g(19)?\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1454 * -26\nAnswer: 37804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 14*t. Let d be (1 - -17) + (-11 - -7). Let c be m(d). Factor 6*s + 7*s + 4*s**2 + 16 + c*s + 7*s.\nAnswer: 4*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (580\/(-232))\/((-25)\/(-30)). Let l(u) = -8*u**2 - 6*u. What is l(z)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 13*w**2 - 6*w - 13. Let i(z) = z**3 + 33*z**2 + 60*z - 46. Let m be i(-31). What is the tens digit of o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 64*a**2 - 56*a**2 - 77*a**2 - 101*a + 238*a**2 wrt a.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.0171.\nAnswer: 0.00684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -781b7 + 0?\nAnswer: -781b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334.647425 + -5.\nAnswer: 329.647425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49)\/(-14) + 8 - (-6)\/(-4). Solve 2*n + 5*o - 12 = o, 2*o = -2*n + c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 34. Let w be v(11). What is the lowest common multiple of 30 and (8\/w)\/((-3)\/135)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let i(c) = 4*c + 2. Suppose -1 = -0*d + d. Let s(m) = d*i(m) + 5*l(m). Is s(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16899*q + 10. Suppose 36 = 4*y + d, 48 = 4*y - 4*d + 2*d. Let u be w(y). What is u rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215021753\/938028 + -41721\/182. Find the common denominator of s and -17\/8.\nAnswer: 20616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 10*g**2 - 17*g. Let u be p(7). Let y = -23 + u. Suppose 5*c - 980 = -y*r, c + c + 3*r = 387. List the prime factors of c.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4153 + -173637?\nAnswer: -200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + -2 + 4*sqrt(275) + sqrt(275) + 5 + -2 + -5)**2.\nAnswer: -500*sqrt(11) + 6975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 22*w + 4346. Calculate h(-197).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55967656 by 6995957.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from nanaaaaanaaana.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/((p**(2\/5)*p)\/p*p)*p*p*p*p)**(-1\/8) assuming p is positive.\nAnswer: p**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 t when four letters picked without replacement from {m: 2, t: 5, a: 3, c: 3, h: 3, w: 3}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 4*x - 7*w = -2*w, -4*x + 7*w + 4 + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let v be 91 - (-2 - a - -3). Let s(w) = 9*w + 71. Let q be s(-7). What is the highest common divisor of q and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -58*o + 27. Suppose 0 = -q - 2*k + 52, 2*k - 42 = 2*q - 128. Let a = q - 62. Is t(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p**3 + p**2 + 3*p - 10. Let x be t(3). Let f be 2\/(-13) - 448\/x. Solve -h = -n, f*n + 0 = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*v - 179*v - 488*v - 452*v - 158*v - 378*v.\nAnswer: -1469*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4124099 and 21697?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 225055392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:04 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 43 = 2*x, 0 = -5*h + 3*h - x + 17 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vvvvvpvpvvvvvppvvv?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6*y - 4. Let q be r(7). Suppose 2*v = q + 1, 3*w + 5 = v. Suppose -3*o - 8 = -2*l + 7*l, o - 3*l = 16. Put -4, o, w in descending order.\nAnswer: o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*x = r, -4 = 2*r - 5*x. Suppose 3*h - 5*h = -r. Is h less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51724?\nAnswer: 2, 67, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -82. Let r(z) = 29*z**2 + 2*z - 11. Let j be r(d). Suppose j = 3*l + 4*n, -3*n = 5*l - 2*l - 462. What are the prime factors of l?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362*t + 186*t + 171*t - 672 - 2*t**2 + 13*t**2 wrt t?\nAnswer: 22*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -36*h - 3. Let u be q(-1). Let a = 36 - u. Suppose -24 = a*m - 5*m. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -433, -3 in descending order.\nAnswer: 0.5, -3, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(2 + 4). Let q = 42 + -27. Let t = q - 19. Put u, t, 0.2 in increasing order.\nAnswer: t, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-9)\/6*8\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 22*u. Let n(s) be the third derivative of -3*s**4\/8 + 26*s**2. Suppose 2*p - 3*z - 20 = -5*z, -p + 5*z = -22. What is p*n(c) + 5*o(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 - 2*p**5 + 0*p**5 + (-4*p - 2*p + 7*p)*(7*p**4 + 20*p**4 + 12*p**4).\nAnswer: 36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8 - 46710\/(-72) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 - 3*r - 1. Let q be w(-2). Let d(v) = 5 + 527*v - 526*v - 8*v**2 + 3. Let g be d(-2). Are g and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2652 and 422518629.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 4*s**2 + 4*s + 4. Let p(n) = -5*n**3 + 5*n**2 - 5*n - 5. Let j be 5 + (1 - 2\/(3 + -2)). What is j*p(u) + 5*i(u)?\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2\/13 - 56*f\/13 - 120\/13 = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 238 = 32*h. Suppose -2*b + h = 3*v - 34, -5*v = b - 29. Solve 3*p - 11 = -4*c, 4*c + b = -p + 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10780, 22079, 33378, 44677, 55976?\nAnswer: 67275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9147431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*j**2 + 13 - 10 - 2183*j**2 - 3 as x*j + s*j**2 + u and give s.\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/28 - 74\/(-14). Suppose 4*g - 11 = 2*n + p, -2*g + 16 = 3*n. Suppose 0 = -2*b - 3*w + 8*w + 25, b + n*w = -1. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*s**2 - 202*s**2 + 5*s + 410*s**2.\nAnswer: 709*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/2 - s**3\/3 - s**2\/2 + s - 5. Suppose f + f = 2. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and 91\/148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(162) + ((2*sqrt(162))**2 - sqrt(162)) - (sqrt(24) - sqrt(96))\/sqrt(12)) + sqrt(16)\/(sqrt(24)\/sqrt(3)) + 0 + (sqrt(8)\/sqrt(4))**2.\nAnswer: -3886 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + j + 2*j)*(4*j**2 - 2*j**2 - 6*j**2) + 14*j - 14*j + 7*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 807028 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -795.3 + 1286466\nAnswer: 1285670.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 156676\nAnswer: -49\/156676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/12 - 13*v**3\/6 + 39*v**2 - 41*v + 2. Let m be x(7). What is the greatest common divisor of m and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 32794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 149.5. Let b = -0.2 + 0.3. Let a = b - w. What is the second biggest value in a, -2\/3, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3505033 is divided by 1752503.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/(-80) - (51\/(-15) - 2). Let l(v) = -v**2 - 5*v + 5. Let f be l(-5). What is the third derivative of 36*b**2 - 10*b**c - 9*b**2 - 21*b**f wrt b?\nAnswer: -1860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38749803 to the power of 1\/2, to the nearest integer?\nAnswer: 6225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 13602\nAnswer: -2\/6801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2. Suppose 0 = -3*z - 2*z + 25. Suppose 0 = 6*s - 8*s + 10. Let l(c) = z*c - 4*c - s*c. Calculate l(y(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -264, -387, -546, -753, -1020?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**24\/(i\/(i*i\/i**22*i)) assuming i is positive.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 153\/4. Calculate the common denominator of -107\/5478 and v.\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqjnmrqrjnqqq. What is prob of sequence nmr?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*m**2 + 361*m**2 - 225*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 m when three letters picked without replacement from tnxkm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 208 = 2*r, q + r + 70 = 5*r. Suppose 58*w - 31*w = 1728. Let d = q + w. Solve -2*m + 4*m = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1471067 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 156c - 1fb?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -6. Let u be 2 - (n\/(-2) + -1). Suppose 2*y = -u*r - 1 + 15, 0 = -y + 2*r + 10. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 17*c - 186 = 2*d, -4*d + 68 = 4*c. Calculate the remainder when 1006 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 13*k = 2*s + 69, 5*k + 5*s - 20 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from iiidadqrrrrq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*o + 9, -2*o + 0 + 6 = 2*r. Suppose -r*n + 2*n = -149. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = 2*l + 2*g, 29 = 4*l - 3*g. Suppose -145 = -5*i + l*a, 7*a - 8*a = 3*i - 83. What is the lowest common multiple of i and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + 5*z**3 + 2*z**5 + (-3*z**2 + z**2 + 0*z**2)*(z - z - z**3) + 4*z**5 - 4*z**5 + z**5 + 59929*z**4 - 59854*z**4 + 2*z**5 + 0*z**5.\nAnswer: 7*z**5 + 75*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283086962?\nAnswer: 2, 141543481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) -0.03 (c) 1 (d) -0.17 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51814840 divided by -6476855?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-15 - -14)) + (2 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.77 and -0.0289436.\nAnswer: -0.195948172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.199 and -4.\nAnswer: -0.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 + 2*b + 2. Let i = 926 - 928. Let g(s) = 60*s**3 + 25*s + 25. Suppose -3*u - 3*y + 75 = -2*y, -100 = -4*u - 3*y. Give i*g(l) + u*o(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g - 2. Calculate k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 + 5*s**3 + 0*s**3)*(-152 - 238 + 24 - 121) as b*s + d*s**3 + k + t*s**2 and give d.\nAnswer: -2435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 565529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**2 - 9*w + 10. Let s(q) = q**2 - 5. Let b(t) = h(t) + 2*s(t). Factor b(i).\nAnswer: -i*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -127, -189, -249, -307, -363, -417?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 132. Suppose b*p = 79 + 12. Solve 0*t = t + 3*f + p, -2*t - 4*f = 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, y: 4, m: 4}. What is prob of picking 3 y?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 90. Let r be c(0). Let l(u) = 94*u - 161. Let i be l(-8). Let k = r - i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15501471*n + 32*n**2 - 15501471*n.\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2 + 63252*r + 2469870 = 0.\nAnswer: -39, 31665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23130 - 23128. Let -45\/8*a - 3\/8*a**3 + 21\/8*a**p + 27\/8 = 0. Calculate a.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 + -160. Let o be (-3)\/(-20) - (-3)\/y*-2. Let 2\/5*a**4 - 2\/5*a**3 + 0 + o*a - 2\/5*a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7368 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43738*i + 131224*i - 43736*i - 43719*i.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) -1 (b) 5 (c) -17 (d) 0.02 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1899*s + 123419. Calculate l(65).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133\/3 + -44. Which is the smallest value? (a) 2\/9 (b) d (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -3)*(-974)\/6. Let w = f + 164. What is the closest to -0.1 in w, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(6336) + 0)*-3)**2*-6.\nAnswer: -342142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 3*q**3\/2 + q. Let x be y(4). Suppose -2*f - 2 - 4 = 0, -165 = -3*u + f. Calculate the greatest common factor of u and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480.291 minus 259974709?\nAnswer: -259975189.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 2\/11, -28, -4, -1723?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*z - 5*z. Suppose -z*u + 62 = 11. Let h be (396\/(-660))\/((-12)\/5) - (-6)\/8. Is h less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.8561 days in microseconds?\nAnswer: 15280367040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1800*t. Let h(j) = -5*j**2. Determine h(y(v)).\nAnswer: -16200000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*n + 1170 - 50, 1124 = 5*n + x. Let o(f) = -n*f - 2*f**2 + 225*f. Let q(h) = -4*h + 5*h - 4*h. Give q(o(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*b - 2*b = -267, 4*b - 20 = 0. Calculate the remainder when 246 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q + 18*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13040 (base 7) to base 3\nAnswer: -11202002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314*h + 1313*h + 39 = -12*d, 6 = 3*d + 5*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + p = -32, 0 = 4*d + 264526*p - 264523*p + 19 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 - 5*p. Let d be t(6). Suppose 4*i + f = i + 51, -3*i - 5*f + 39 = 0. What is the greatest common divisor of d and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540005.5646917 + 538985.5648. Let v = 1020 + t. Round v to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 12*m + 17. Let z be s(-7). Which is the closest to 0.1? (a) -1\/4 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j. Suppose 0 = -4*k + o - 159, -2*k - 77 = -j*k - 3*o. Let y = k - -71. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x + 1. Let v(o) = 9*o**3 + 3*o**2 + 2. Determine 2*r(b) - v(b).\nAnswer: -9*b**3 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -2.04. Let t = d + -2.3. Let g = -44289 + 44294. What is the smallest value in t, 6, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19652*p - 2300 = -19192*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(5 + -17))\/(1\/6). Suppose -756 = s*y - 3894. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) 3\/2 (c) -575 (d) 0.06 (e) -3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 16*g**6\/15 + 3*g**4\/2 - 2193*g**2\/2 + 12*g + 10. Differentiate u(b) with respect to b.\nAnswer: 128*b**3 + 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 11 + -11 - 1\/4. Which is the closest to -0.4? (a) -5 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 7:03 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 95\/4*y**4 + 0*y**3 + 8*y + 3\/2*y**2 - 119. What is the second derivative of u(d) wrt d?\nAnswer: 570*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213\/65 + -37\/10. What is the common denominator of i and -31\/22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 33, 26, 19, 12, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4877447.942 from -14697.\nAnswer: 4862750.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 16877*i + 151931. What is f(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1261*v = -1257*v - 312. What is the remainder when v is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 79*y - 44*y - 36*y - 1 - y**3. Let p(m) = 21*m**3 - 39*m**2 + 123*m + 165. Let g(h) = -18*k(h) - p(h). Factor g(f).\nAnswer: -3*(f - 7)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-7)\/4. Let a be (-4)\/2 + i\/(-1). Let c(t) be the first derivative of t**2\/2 - t - 9. Determine c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/13 (b) 1532 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99724190 to the power of 1\/2, to the nearest integer?\nAnswer: 9986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -15, 309, 763, 1347, 2061?\n\"Answer: 65*r**2 - r - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:50 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031814977 to 4 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52895 + 52544 = 13*y for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9163880 and 25960.\nAnswer: 9163880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 760*v + 49*v + 272*v - 329*v.\nAnswer: 752*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 - 7*l + 16. Let i be a(3). Suppose 87 = 2*z - 3*x, i*z - 55 - 127 = -2*x. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 0.1 (b) 8\/9 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5\/6, 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, i: 7, u: 1, p: 2, h: 3}. Give prob of picking 1 p and 2 i.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.25 - -0.25. Let n = j - -9. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/3 - 94*c**4\/9 + 386*c**3\/9 - 22*c**2\/3 - 680*c\/9 + 448\/9 = 0. Calculate c.\nAnswer: -4\/3, 1, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**2 + 2*q**2 + q**2 + (q + 4*q - 3*q)*(q + q + 0*q) + 2*q**2 + 0 + 0 + (3*q + q - 3*q)*(-q + q - 2*q) + 2*q**2 + 2*q**2 - 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 22.\nAnswer: -3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-15) - (-27)\/5. Let z be (b\/2 + -2)*-9. Let l be (-3)\/z - 10\/(-6). Solve -4 = -k + t, -3 = -l*k - 4*t - 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -12464, -60 in ascending order.\nAnswer: -12464, -60, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620005 is divided by 1619778.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -0.5 (b) -0.2 (c) -5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 69673458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 6:18 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.53956ng in micrograms?\nAnswer: 0.00953956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/20 + a**4\/2 + 7*a**3\/6 + 2*a. Let s be v(7). List the prime factors of (-8 - (0 - s))*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3319.31 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 64 = 4*h - 100, 3*h - 3 = l. Solve 363 - 327 = l*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 6*k + 61. What is x(15)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 13*h - 2. Give o(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 9 = -3*k, 3*h - 3*k + 3 = -2*k. Let t = -0.02 - -0.32. Let d = 185\/268 + 4\/67. What is the closest to t in d, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2915*v - 2925*v + 5827*v. Suppose -4*j - 66 = 7*j. Let k(c) = -14*c. Give j*k(t) + 7*z(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, 1, -1, 20, -5.\nAnswer: -5, -1, 1, 2, 20, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 30*d - 69. Let a be r(32). Let v = 2.04 + -2. Let h = -0.34 + v. Put 0.1, a, h in decreasing order.\nAnswer: 0.1, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l - 438 + 2598. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + -6*(-6 + 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r**3 - 3*r**4 + 10*r**3)*(2 - 2 - 2*r) + (12*r**2 + 15 - 15)*(6*r - 3*r - 2*r)*(2 + 1 - 2)*(-2*r**2 - 2*r**2 + 2*r**2).\nAnswer: -18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*y + 7 - 7.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12)\/t)\/t**(-2\/47) assuming t is positive.\nAnswer: t**(-609\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(4830\/20)*(-9 + 12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + (-34)\/(-9). Suppose w + d = 7. Suppose 6*b - 78 = w*b. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69298, -69304, -69310, -69316?\nAnswer: -69322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = -60*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from xgqcf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -484*c**2 + 2*c + 5. Let h(w) = 49*w. Give j(h(d)).\nAnswer: -1162084*d**2 + 98*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - f)*(f + 11 - 24 + 12) to the form m*f**2 + h*f + t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*m*t - b*m*z**2 - 38*b*t*z**2 + b*t + b - m*t*z**2 + m*z**2 - z**2 wrt m.\nAnswer: -b*t - b*z**2 - t*z**2 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-18*1\/(-2))\/(3 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let n(d) = -d**2 - 8*d + 2. Let i be n(-8). Let q = i + y. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*h - 3 - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -99. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 799\/36, -4 in descending order.\nAnswer: 799\/36, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 10 = 0. Suppose 0 = -11*i + c*i. Which is greater: i or -23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r + 5. Let p be m(-2). What is the tens digit of (p - 1)\/((-4)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8e - -5?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q + 5. Suppose -4*s = -4*i - 0*i - 4, 0 = 5*i + s - 13. Suppose i*l - 9 = 3*n, -2*n + 4*l + 7 = -n. Let z = n + 10. What is b(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*o + 38, -t - 11*o + 4 + 7 = 4*t - 61 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 3 (c) 0.3 (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1741*p**2 - 11*p - 13*p - 1727*p**2 + 5203*p**2 - 1740*p**2.\nAnswer: -5*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 3*t - 2. Let v(m) = -3*m + 25. Let a be v(9). Let z be g(a). What is the highest common factor of 30 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -867 + 955. Which is smaller: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 33*k**2 + 125*k - 48. Does 2 divide r(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86761*y**3 + 8*y**2 - 210*y - 5513.\nAnswer: 520566*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (10 - 6763) - (0 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-4))*12\/(-32)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 869979267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16924 - 16948. Which is the smallest value? (a) 0.3 (b) 1\/5 (c) q (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -2*f. Suppose -f*x + 3*x - b + 3 = 0, -5*x = -3*b - 13. Solve 1 + x = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/55)*h)\/h**(11\/6))\/((h*h**(-29))\/(h*h**2\/h)) assuming h is positive.\nAnswer: h**(9631\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.278 + 73.278. Let o = v + -114. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442567, -442599, -442631, -442663?\nAnswer: -442695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/5768 - -64893\/5768. Sort -4, b, 1 in decreasing order.\nAnswer: b, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -11. Let w = 974 - 9731\/10. Let j = w + -13\/10. Which is the nearest to j? (a) 2 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 7*m**2 + m + 28. Calculate d(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -621*o + 618*o. Solve 3*s - o*s + 4*q - 20 = 0, 3*s + 2*q = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:08 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6491 (base 10) to base 6\nAnswer: 50015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153) - sqrt(153))\/sqrt(9) - sqrt(68)*4.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(171)\/(6*-2*sqrt(9)) - (-5 + 5 + sqrt(38)\/sqrt(2))))*-3.\nAnswer: -11 + 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c8512 - 1d?\nAnswer: -2c852f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/(v**(-21)\/v)*v**(-31)\/v*v**(6\/5)\/v assuming v is positive.\nAnswer: v**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (2 - 14) + -66 + 81?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 5644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 + (-40)\/(-18). Suppose 3*q + s*q + b + 3 = 0, -b + 4 = -2*q. What is the closest to 0.1 in -2, q, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*b**4 + 15*b**2 - 15*b**2 + (0 - 1 + 3)*(6*b**4 + b**4 - 2*b**4)*(1 - 5 + 0).\nAnswer: -22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {c: 2, q: 1, r: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 44*n + 17*n in the form s + j*n and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from bbbebebbsszzzsmmbbb.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485623 and 928318.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t = 12*t + 60520. Suppose 7*h + t = 5*q + 2*h, 704 = q + h. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(60)\/(sqrt(15)\/sqrt(5)))\/(sqrt(16) - (sqrt(64)\/sqrt(4) - sqrt(16))).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 965542849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 269*g**3 + 0 - 2*g - 264*g**3 - 107*g**3 in the form v + t*g**3 + p*g + m*g**2 and give t.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/(-2)*1. Let q = 2\/2985 - -2029\/1194. Let x = -11\/5 + q. Which is the nearest to 0.1? (a) x (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Let p(g) = g. Let z(j) = -2*j. Let a(k) = 5*p(k) - z(k). Calculate a(c(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a day in hours?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2288, -4597, -6906, -9215, -11524, -13833?\nAnswer: -16142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1264 and 79?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1271 (base 8) in base 10?\nAnswer: -697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1074.\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 223, 224, 225, 226, 227?\n\"Answer: g + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 - 4*k**2 - 2*k + 3. Let b(l) = 3 - 2*l**3 + 0 - l - 3*l**2 - 1. Let h = 14 + -10. Calculate h*b(c) - 3*n(c).\nAnswer: c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from uuvuvvuvvvvvvvvvvuu.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78052 + -0.28052. What is the closest to -0.1 in -18, -2, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 14*r + 10. Calculate x(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21)*((-4)\/(-38) - 23749\/(-10659))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.80333225 + -2.79601875. Let t = f - -124.6. What is t rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 354839224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426408 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 44*f**2. Let x(h) be the first derivative of 2*h**3\/3 - 15. Determine x(l(k)).\nAnswer: 3872*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 10. Let y(x) = -x + 1. Let q(r) = c(r) - 3*y(r). What are the prime factors of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23142)\/(-665) - 40 - (-1322)\/260.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-35)\/(-15))\/((-2)\/(-18)). Let o = -24 + i. Let b(s) = -s + 1. Let u(x) = -10*x + 4. Let g(a) = -5*b(a) + u(a). Determine g(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 661 (c) -1\/3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f - 165. Suppose f + 57 = 5*t. Calculate the remainder when 4*4\/64 + 270\/8 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 6, 4, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*i - 33 = 0, 1 = w - 7*i + 8*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -3*m + 51 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 7*k**2 - 16*k**2 + 1 - 6 - 5*k. Let m(a) = -10*a**2 - 2*a - 2. Let f(v) = 5*m(v) - 2*w(v). Let y(z) = 15*z**2. Calculate -11*f(p) - 6*y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, 0.023, -34, -1\/4, 1\/4 in descending order.\nAnswer: 4, 1\/4, 0.023, -1\/4, -0.5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121399?\nAnswer: 19, 59021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24047 (base 10) to base 9\nAnswer: -35878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 - -2. Let q be (-2)\/36*285\/(-25). Let t = q - 2\/15. What is the biggest value in t, -1, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 544, -2, 4, -5, -1, -8 in descending order.\nAnswer: 544, 4, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0) + 2 - -2. Suppose -5*v + 2*w - 3*w = -20, -v - 2 = -w. Suppose 0 = -4*l - y*n + 54, -v*l + 2*l + 11 = n. Solve k = 5*k - l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552280 and 370?\nAnswer: 20434360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 6, o: 2, a: 1, u: 9}. What is prob of sequence wau?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 335 + 0 + -2. Let i be -1*201 - 2\/(-2). Let a = v + i. What is the highest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001100011 - 100100010110001001?\nAnswer: -100011101100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2303545?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/16 and -94 + 95 + 257\/(-240) + 0.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15186 (base 10) to base 7\nAnswer: 62163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, g: 3, q: 2}. Give prob of sequence kggk.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 20 = -5*g, 0*g + 5*g = -5*m - 20. Let q = -24 - -25. Let j = -1088 - -1083. Which is the closest to m? (a) q (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92080314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Let z be (-4)\/40*k*55. Let c = -19 - z. Solve c*n - 12 = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57376373.2 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 4:47 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Let u(v) = 6*v**2 - w*v**2 + 2*v - 4*v + 1 - 3*v. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/9 and -47\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 18. Which is the second biggest value? (a) -1\/3 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7385, -30257, -69403, -125663, -199877, -292885?\nAnswer: -405527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(0*t**4 + 0*t**4 + 3*t**5) - 380*t**5 + 160*t**5 + 64*t**4 - t**2 + 230*t**5.\nAnswer: 16*t**5 + 64*t**4 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/481, 0.05, 1\/4, -0.7148?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 = 3*s. Are s and 2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -81, 10, 1, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*y**3 + 23*y**3 - 217*y**3.\nAnswer: -847*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99165.88mm to nanometers.\nAnswer: 99165880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37725341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 154*v. Let l(y) = -22581*y + 1. Give l(t(b)).\nAnswer: -3477474*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-1)\/3). Suppose -n + i = -0*n. Solve -4*u + 3*z + 5 = -12, -n*z - 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 3, 0.3, 2\/7, 2\/125, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/9 + 88*w**4\/3 + 152*w**3\/3 - 8260*w**2\/9 + 2642*w\/3 + 1820 = 0. Calculate w.\nAnswer: -130, -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((4 - 3) + -7 + 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28293132 to the power of 1\/2, to the nearest integer?\nAnswer: 5319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133 - -4023?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -189056 and 667715.\nAnswer: 478659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62034058?\nAnswer: 2, 1279, 24251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -146, 2.\nAnswer: -146, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/299)\/3)\/(93\/1209).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 274 + -268. Solve -4*f + 10 = 4*s - 3*f, 2*s + f - j = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -139\/2 - -409\/6. Let m = 2\/49 - 151\/98. Sort -4, q, m in descending order.\nAnswer: q, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 31 + 45 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -164?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 + 22*z**2 + 24*z - 47. Let w be u(8). Determine p so that 0*p**3 - 59*p**2 - p**5 + 10*p**4 + 67*p**2 + 0*p**3 - w*p**3 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose -5*f - 2*m = -m - 20, -n*f - 4*m = -5. Suppose -4 = -f*r - 14, 2*r = s - 15. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 78*n - 2 - 1 + 80*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 48 = -5*y, -2*y - 12 = 2*y. Let m be (3\/(-3) - 0)*c. Let t = 39 + m. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 3:36 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 27, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1\/14, 0.5, -1.052?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10163 is divided by 277.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b - 12*b + 4*b - b. Let u = 436 - 437. What is r(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + i + 5. Let x(g) = -5*g**2 - 3*g - 14. Calculate -8*v(l) - 3*x(l).\nAnswer: -l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 121?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/33*9*(-3)\/30.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x**5 + 2*x + (-13 + 13 + 15*x)*(x**4 - x**4 + 2*x**4).\nAnswer: 31*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from kkkkkzzkkkzkzzkk.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1749895 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 748 = 3*c, 1001 = 4*c - 2*j + j. Suppose 7*o = 2*o + c. Suppose 76*n = 65*n + 220. Calculate the highest common divisor of o and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + j**3 + 0 - 26792*j + 2*j**3.\nAnswer: 3*j**3 - 26792*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3849 + -11395\/3. Let j = -50 + o. What is the closest to 1\/4 in 5, j, -15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -559883877*u**5 - 448559079*u**2 wrt u?\nAnswer: -33593032620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5 - 29. Let f be n*-3*5\/(-10). Let m = f - 12. Is -3 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 71. Let j = i + 29.8. What is the nearest to j in -1, 2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6729, -6051, -4219, -657, 5211, 13961, 26169?\nAnswer: 42411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 784.4541 microseconds?\nAnswer: 784454.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 8:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -11*r. Let w be (12\/10)\/((-26)\/65). Let h be r + 10\/5 + w. Is 14 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 801 and 21.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4868895 rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20085, -40183, -60281, -80379?\n\"Answer: -20098*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**3 + 24*n**3 + 4*n**3.\nAnswer: 61*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.8 plus 31?\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let i(x) = 3*x + 4. Let v(m) = 2*m + 5. Let l(f) = -5*i(f) + 4*v(f). What is l(g(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-13 + 31))*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/13)*p\/(p\/((p**(2\/43)*p)\/p*p))*(p**(-8)*p)**(-24) assuming p is positive.\nAnswer: p**(94454\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 144. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 1346*g + 452929.\nAnswer: (g + 673)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*h + 250*h + 292 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m - 5. Let s be h(-6). Let g = -53 - s. Suppose -g*p - 13 = -61. What is the highest common factor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 8*p + 3. Let o be y(-5). Let f = o - -8. Put -8, 0, f in increasing order.\nAnswer: -8, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**3 + 10*v**2 - 2*v - 10. Let d(u) = 25*u - 1452. Let m be d(58). Give s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) + (-1)\/3. Let v(i) = i**2 + i + 3. Let l be v(a). Put l, 0, 1 in descending order.\nAnswer: l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10868972 and 2060.\nAnswer: 54344860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 3 (c) 2\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 35 - 25 - 21 + 1 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-255)\/170)\/(0 + -1). Factor -6 - x*k**2 - 15\/2*k.\nAnswer: -3*(k + 1)*(k + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13743*373\nAnswer: 5126139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:24 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -91, -213, -385, -607?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*r + 225 - 948, 0 = -3*z - 5*r + 691. Let p = z - 235. Solve 0 = 3*y + 3*v + 3, 3*v + p*v = 3*y + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-33)*(f*f**(2\/5))**24 assuming f is positive.\nAnswer: f**(333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 1 - 1)*(-k + 3*k - k) - 4*k**3 + 3*k**3 - 2*k**3 + 6403*k - 17*k**3 - 6403*k.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.33, 1, 3, 150, -20 in descending order.\nAnswer: 150, 3, 1, -0.33, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200211550 - -7?\nAnswer: 200211557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 6 + 12. Let a(h) = 2*h**2 + 3*h - 3. What is the remainder when 69 is divided by a(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -31450, -37919, -44378, -50821, -57242, -63635, -69994?\n\"Answer: p**3 - p**2 - 6473*p - 24977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4410*g. Let i be q(1). Let v be 310\/i - 2\/18. Are 1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from qlgpf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.8.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1129771 = -1129755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 486194 + 9*d**3 + 4*d**2 - 487672 - 3*d**2.\nAnswer: d**3 + d**2 - 1478","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5 + 1754*n**4 + 20676*n**3 - 72572*n**2 + 76090*n - 25950 = 0.\nAnswer: -865, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7277595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x - 7450 + 7450 - 241*x**2 + x**3.\nAnswer: x**3 - 241*x**2 - 34*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in -4, 3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12347 + -3.87653. Sort a, -7, 0, -3\/2, 229 in increasing order.\nAnswer: -7, a, -3\/2, 0, 229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-9))\/(-5 - -1). Let p(r) be the first derivative of k*r**2 + 2 + 2*r. Differentiate p(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3448638 divided by 283?\nAnswer: 12186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 7. Let y = b - -18. Which is greater: y or 5\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 + 16*w**2 - 3*w - 10 = 0 for w.\nAnswer: -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*w, -5 = -z - w + 1. Let p(u) = -z*u**2 - u**2 + 10 - 12*u + 5*u**2 - 3. Calculate the remainder when p(-10) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 141*p - 4*p**2 - 16 - 292*p + 140*p + p**3. Calculate the remainder when x(7) is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -4, 0.1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5705 and 136105.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geuuzqzg. What is prob of picking 1 g and 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1745\/7 + -249. Which is the nearest to -2? (a) -2\/7 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -4, 0.03, 0.04, -1\/4, -373, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*w + 28*w - 4*w - 6*w)*(9*w - 5*w + 2*w).\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11858 + -165897\/14. Find the common denominator of -71\/105 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173.86 to zero decimal places.\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -103*x + 1137. Give v(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.076.\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3032, 3043, 3064, 3101, 3160?\nAnswer: 3247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543890702.\nAnswer: 2, 3, 659, 390463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 290484 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 2. Let m be v(7). Let t = m + 15. Solve t*w = 4*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1720.9 - 1721. Sort 0.4, d, -437 in decreasing order.\nAnswer: 0.4, d, -437","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6587388 and 8856?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08621 * -198.\nAnswer: 17.06958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 - 2*u**6 + u**6 - 15840*u**2 + 22754*u**2 + 194*u**4 + 5*u**6 + 5*u**3 wrt u?\nAnswer: 120*u**3 + 4656*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/60 + 461*s**2. Let a(j) = -15*j**2 + 3. Give c(a(g)).\nAnswer: -225*g**4 + 90*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.65 + 0.35. Let p = -1.6 - -6.6. Let a = p - 1. Put r, a, -2\/21 in ascending order.\nAnswer: -2\/21, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6168 + 11282. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -11. Let z = 14 + -8. Let v(m) = m**3 + m**2 - m. Let o(s) be the first derivative of -s**4 - 2*s**3 + 3*s**2 + s + 35. What is c*o(w) + z*v(w)?\nAnswer: 2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513120 by -34208.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/32)\/(-5))\/(1329\/(-886))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/530 and 9\/8200.\nAnswer: 434600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25796 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13181 + 13200. Solve -41*b + v*b = 132 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 873, 1313?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*z)*(21*z + z**3 - 21*z) - z**4 - 15*z + 3*z**4 + 34*z.\nAnswer: 5*z**4 + 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 264 = 2*d - 6*n, 5*n + 304 = 2*d. What is the highest common factor of 3266 and d?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.7. Let g = -122.3 - -122. Let r = 0 + g. Which is the nearest to s? (a) 3 (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2. Let o be a(-3). Let i = -33 - o. Let g = 18 + i. Solve -g*r - 4 + 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*p + 125*p - 3*f + 9 = 0, 5*f = 2*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12de + -2?\nAnswer: 12dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**23\/(s**(-4\/5)*s**(-4)) assuming s is positive.\nAnswer: s**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) 103\/3 (c) 2\/5 (d) -58 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q = -152358. Let g = -17800 - q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -0.9. Which is the second biggest value? (a) 9 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 87 (b) -3\/11 (c) 1890 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002201 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2475 - 0.5\nAnswer: -0.2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnxxbbbbbdnbn. Give prob of sequence dbxd.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21828.999970038 + 21829. Round s to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2\/13*c**5 + 10\/13*c - 10\/13*c**4 - 2\/13 - 20\/13*c**2 + 20\/13*c**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2574 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266758963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80488 is divided by 5746?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89940.71 litres to millilitres.\nAnswer: 89940710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67415.9 centuries to decades.\nAnswer: 674159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.088282 - 0.111718. Let z = -1 - -1. Sort 6, z, t, -5.\nAnswer: -5, t, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(2\/15)))\/m**2)\/((m*m*m**(-2\/3))\/m**(-2\/25)))**26 assuming m is positive.\nAnswer: m**(-2132\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoemmmkymmommmz. What is prob of sequence ey?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124472.49853 + -124472. Round b to three decimal places.\nAnswer: 0.499","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*s + 32*s - 3 = 5*g, -4*g + 3*s = 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.631 and 0.04.\nAnswer: -0.02524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.89035 millilitres to litres.\nAnswer: 0.00589035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244494.8155 + -244429. Let d = o + 0.0845. Let t = -69 + d. What is t rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -21646054?\nAnswer: 21646052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let j(u) = 13*u - 1. What is j(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16535 - 11031. Is t a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)*-2 + sqrt(156)))\/(((sqrt(120) - sqrt(120)*-3) + sqrt(120))\/sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -472\/5. Let r(o) = -o - 3. Let i be r(-4). Let v be (i\/14)\/(1\/(-6)). Which is the nearest to t? (a) -2\/13 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d\/d**(1\/2))\/d))\/d)**9\/(d**(3\/5)*d\/(d*(d\/(d\/(d\/(d\/d**2)*d)))\/d*d*d))*((d**2*d*d)\/d)\/((d\/(d*d**2\/d))\/d)*d*d*d**3*d*d\/d**6 assuming d is positive.\nAnswer: d**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1356 times 225?\nAnswer: -30.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 2}. What is prob of picking 4 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -1.5. What is the nearest to 1\/5 in z, -2\/13, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 1459458.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/10)\/((-1)\/(-2)). Suppose 0 = -3*h + 159 + 120. Suppose -g + p = -4*l, -g - h = -6*g + 4*l. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22087975 divided by -3155425?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 886*f - 1771. Let v be o(2). Solve -2*w - 5*t - v = 0, -t - 1 = 10*w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79740757 to 2 decimal places.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 105, -21, 87 in increasing order.\nAnswer: -21, 0, 5, 87, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/7)*g))**(-3\/11)\/(g*g**(2\/9)*g**4*g))**(-38) assuming g is positive.\nAnswer: g**(154622\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(-19 - (-625)\/35)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 127 (b) -0.3 (c) 0.2 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/17 + 16*m**3\/17 + 42*m**2\/17 + 36*m\/17.\nAnswer: 2*m*(m + 2)*(m + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28535144671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-11)*(-13)\/2*71\/((-30459)\/44)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.733 + 0.633. Let n = -31 + 90. Let b = n + t. Is b >= 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -200 or -172?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(((-15)\/25)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048438 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 725432.968 rounded to the nearest 10?\nAnswer: 725430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-6)*(-387 - 0). Let z = j + 10568. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - v**2 - 8*v + 9. Let n(g) = -3*g**3 - 5*g + 6. Let o(i) = -5*c(i) + 8*n(i). Let b = -3 + 1. Let s be 5\/(-4)*(-8)\/b. Give o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2*(-15 + 5)\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 3. Let a be x(0). Suppose a - 37 = -w. Let z be -2*(-2 - (-40)\/16) + 18. Calculate the greatest common factor of w and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w + 1. Let m be f(-10). Let i = 2 + 3. Suppose 0 = -i*y + 392 + 48. Calculate the highest common divisor of y and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4250 - 4249. Let n be 4\/6*(-45)\/(-6). Suppose 2*g + n*z + 51 = 0, 0*g + 5*g = 5*z - 110. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 668, 677, 696, 731, 788?\n\"Answer: o**3 - o**2 + 5*o + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3851\/1891 or 2?\nAnswer: 3851\/1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1353860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042522 to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 15. What is the remainder when u is divided by 88\/20 + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-7)*(2 - -5). Suppose 8*y + 8400 = i*y. Let a = 46153\/11 - y. Find the common denominator of -1\/4 and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 13284 + 13284.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Suppose 0 = -4*j + s*p + 28 - 8, 2*p = 2*j - 10. Solve j*t + 5 = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35789*k**2 + 18866*k**2 + 2684*k**2 - 8604*k**2 + (3*k + 0*k - 2*k)*(-4*k + 0*k + 2*k) as v + q*k**2 + s*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:57 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:37 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13601083.\nAnswer: 1283, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -31*v**3\/6 + 9*v**2\/2 - 13*v. Does 6 divide l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -78, -50 in decreasing order.\nAnswer: -9, -50, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*(-1257)\/18)\/((-12)\/(-2328)). Let z = q + -11473. What is z rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.23456726?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.028597 - -717.311403. Let n = -716.61043 + u. Let p = n - 0.73. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.026 - -0.126. What is the closest to 1.3 in 4, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/153 + -3353\/306. Find the common denominator of 2\/32*1*82 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*s, -2*l - 6 = -2*s + 12. Sort -18, l, 1, 4 in descending order.\nAnswer: 4, 1, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/2850*(-270)\/(-5)*35\/28.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 33 (b) 3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28725728 and 50270024.\nAnswer: 201080096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15 + 17\/(-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 7*(-4818)\/(-1155)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00528885482 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*k + 46, -k - 1 = -3*t + 1. Suppose 2*c - 10 = 0, 2*c - 101 = 11*a - k*a. Let z = 93 + a. Solve 4*p - 3*j - 25 = 0, -z*p + 35 = 3*p - 5*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-990)\/(-1463) + 2\/(-19)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1563 - 508 = 4*m, -3*m + 795 = -w. What is the highest common divisor of m and 3059?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46236.\nAnswer: 2, 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -1570872?\nAnswer: 9425232","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**5 + 58*q**4 + 92*q**3 + 42*q**2 - 20*q - 16 = 0.\nAnswer: -2, -4\/3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(3\/5)\/h)\/(h*h**(-8)*h*h))\/((h\/h**(-8))\/(h\/((h**(-1\/6)\/h)\/h))))**(2\/97))**(-1) assuming h is positive.\nAnswer: h**(7\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-9))\/(5\/615). Let y = s - 44. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 21. Suppose -2*f + 4*f - 3*j = 24, 0 = 4*f + 2*j - 16. Let r be g\/27*f\/(-40). Is r at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 364590100 to the nearest 1000000.\nAnswer: 365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6036 + 6036. Let u(y) be the third derivative of 0*y**3 + s*y - 4\/21*y**7 + 0 - 5\/336*y**8 - 15\/8*y**4 - 7*y**2 - 11\/12*y**6 - 2*y**5. Solve u(o) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.6796 * -22.\nAnswer: 300.9512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2432*c**3*n**2 - 285*c**2*n**2 - 2*n**2 wrt c?\nAnswer: -14592*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1235, -1\/3, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let d(x) = 146610*x**2 + 5*x + 2. Give d(g(a)).\nAnswer: 586440*a**4 - 10*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -19*q. Suppose -4*a = 2*i + 14, 3*a - i = 1 + 1. Does 19 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 - 14) + (25 - 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0 + 0*x + 1\/30*x**5 - 4*x**2 + 0*x**3 - 1\/6*x**4. What is the second derivative of u(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -420 (b) -3\/2 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225 + 2*v**3 - 6*v**3 + 225.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zspmszpzvzszzhhzhzsv. Give prob of picking 1 v, 1 p, and 1 z.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 2*r. Let d be i(2). Suppose 0*a - 3*a - d*o = -6, 0 = 2*o. Factor -2*v**2 - 1 + 7 - 2 + 0*v - a*v.\nAnswer: -2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51714919 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 255?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10 = 4*t + 4*m, 4*t = -2*m + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q**2 - 141*q + 169. Calculate d(-4).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**5 - 1474445*q**3 + 3*q**2 - 1844273*q wrt q?\nAnswer: -540*q**2 - 8846670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347172?\nAnswer: 2, 3, 7, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 1728990?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 2, r: 1, n: 1}. What is prob of sequence nr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccfrrcxrrrxccrjcrcc. Give prob of picking 1 c and 3 r.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Let q be ((-5)\/(-2))\/((-1)\/(-2)). Find the third derivative of 10*y**5 - 10*y**q + 2*y**6 + h*y**2 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (60\/(-18))\/(((-8)\/(-6))\/4). Let g(d) = -3*d - 8. What is the units digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10500 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618\/(-4326) - (-78)\/693.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5 - 93800*m**4 - 1968996*m**3 - 3654872*m**2 + 79225510*m = 0. Calculate m.\nAnswer: -46879, -13, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1938 and 28842.\nAnswer: 490314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3*v**3 + 9*d**3*v**2 - 3*d*v**3 - 4*d*v**2 + 2*v**3 wrt d?\nAnswer: 24*d*v**3 + 54*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**26*c*c*c\/c**18*c*c**(-2\/21)*c*c\/(c*c*(c\/(c\/c**(-1)*c))\/c))**(-2\/19) assuming c is positive.\nAnswer: c**(-626\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 45 = -18*q. What is the remainder when q is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0454, 0.1, 1\/3 in increasing order.\nAnswer: 0.0454, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 8*u**2 + 9*u + 7. What is g(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 1. Let s(i) = -i**3 + 7*i**2 + 7*i + 7. Let y be s(8). Let w be l(y). Solve -w*n = -3*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000685 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**4 + 18*h**2 - 18*h**2 + (h**3 + 1 - 1)*(-2 + 2 - h) to v*h + a + f*h**4 + u*h**3 + g*h**2 and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 68. What is the third biggest value in 2\/9, -2\/7, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8 + -3 - ((-46)\/12 - -4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12)\/1 - (-114)\/252?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/24 + c**3\/6 + 7*c**2. Calculate p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 4}. What is prob of picking 3 a and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4328 and 0.2?\nAnswer: 4328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105642987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/21*9*(-119)\/(-153). Suppose -2 - 10 = 4*r. What is the third biggest value in r, -9, 0.4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.119 - 0.491. Let s = j - -0.61000121. What is s rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 857027, -1\/4, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l**3 - 3*l**2 - 24*l - 23. Let s be b(-1). Solve -20 = s*q + 40 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 52*g**2 - 2*g + 1. Let f(s) = s**2 + 12*s + 2. Let a be f(-12). Is c(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*(-24)\/(-15). Suppose 0*p - 96 = -n*p. Let l be (p\/10)\/(18\/45). Calculate the highest common factor of l and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13385 divided by 5?\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -34\/999643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**3 + 4*b - 4 + b**3 + b**3 - b**2. Let d = 237 - 235. Calculate the lowest common multiple of m(d) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 8*l - 11. Let u = -175 + 180. Let f be x(u). What is the nearest to -2\/25 in -1\/5, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4187, 0.4, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 92 = 2*a. Suppose -4*m + a = -3*n, -n + 10 = m + n. Solve -m*w + w + 12 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + 11*l**2 + 10*l - 15. Let o be ((-8)\/(-10))\/(-2) - (-84)\/35. Let d(j) = j**3 - 2*j**2 - 2*j + 3. Calculate o*q(y) + 11*d(y).\nAnswer: y**3 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 15 - -13) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from ziukmih?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) -2 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - x - 3. Let a be t(0). Let c(v) = -v**3 - 3*v**2 - 2*v. Give c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4155 + 4781 + 8392)*(0*t + 0*t - 2*t**4) in the form j*t + f*t**2 + d*t**3 + p*t**4 + s and give p.\nAnswer: -18036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 48 = 0. Let r = 8259\/464 + -576\/29. Find the common denominator of (-119)\/o*(-8)\/(-10) and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78058203 to the power of 1\/2, to the nearest integer?\nAnswer: 8835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16634*b**4*p - 39271*b**4 + b**2*p + 3*b**2 + 2893*b*p - 4*b - 30*p + 1 wrt b.\nAnswer: -399216*b*p - 942504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 22*x = -22, 1403 = 4*x + 1407 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*w**2 + 6*w**2 - w - w - 2*w**2 wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -21067, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 4*l + 3. Let a be p(-4). Suppose -a*s + 4 = -5*s. Is s greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -963 - -931.22. Let y = i - 0.22. Let l = 28 + y. Which is the biggest value? (a) -0.2 (b) l (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4 + 9802*m**3 + 78510*m**2 + 166886*m + 98180 = 0.\nAnswer: -5, -2, -1, 4909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003180231 rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*y + 4)*(2 - 5 + 6) + y + 0 + 0 + 39 - 39 - 3*y to l*y + d and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a - 1 - 27 - 3 + a + 1 - 1 + (a - 7*a + 5*a)*(1 + 0 + 1).\nAnswer: 5*a - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 364992, 17, -5, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44843667 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 16. Let s be g(-11). Suppose 25 = s*d - 0*d, -15 = -4*z + d. Suppose -4*n + 66 = -3*b + 5*b, -n + z*b = 11. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 891 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 5*l**4\/24 + 29*l**3\/6 + 19*l**2. Let v be b(-5). Calculate the highest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*t - 4*z = 501*t + 31, -4*z = -2*t + 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**3*m**3 - 3*b**3*m**2 - 5*b**2*f*m**3 - 12*b*f - b*m**2 wrt m.\nAnswer: -24*b**3 - 30*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 2*m**2 - 2*m + 58. Let l be h(0). What is the second derivative of -w**2 + 2*w + w**2 - 41*w**5 + l*w**5 wrt w?\nAnswer: 340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32074*x**3 - 65 + 0*x**2 - 6*x - 2*x**2 - 32073*x**3 to the form l + c*x**3 + k*x + w*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 12. Let t be 12\/w*(-4)\/9. Let v = 6 - 3. What is the third biggest value in t, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3361086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 133, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from {l: 3, u: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 11, -0.1, -366, 0.005?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 + 126 - 3*w + 126 - 380.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 22*y**2 + 38*y - 4. Let p be b(-20). Round p to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 + 3*b + 4. Let j be z(-2). Let o = j + -11. What is the lowest common multiple of o and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g**2 - 2*g + 5. Suppose 0 = -p - 3*p. Let k be x(p). Solve 4 = 4*b, -4*z + k*b = b + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94715 * -0.9.\nAnswer: 85243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/75 + 172\/225. What is the common denominator of (2\/10)\/((-3)\/39) and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {z: 2, o: 1, s: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -40 + 33 + -2 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose l*b - 259 = 239. Suppose 5*n + g = -0*n + 379, 4*g - b = -2*n. Calculate the greatest common factor of 30 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16*p - 14*p - 37 - 62 + 13*p + 17*p. What is the hundreds digit of o(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -26*l**3 + l**2 + l - 1. Let t be q(1). Let c = -14 - t. Suppose 0 = 4*h - 8*h - 3*m + c, h + 5*m = 7. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -114, -160, -206, -252?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 + 15*d + 10*d**2 - 63 - 30 - 4*d to the form o*d**2 + w + n*d and give w.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 0 - 6 - 5*c**3 as w + l*c + y*c**2 + h*c**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80))\/sqrt(4) + sqrt(20))\/(sqrt(256)*1).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-154)\/44)\/((-2)\/36). Suppose j - 1 = 0, k = -3*k + j + m. Suppose -5*f = -39 - k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12316 is divided by 224?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3739, -3741, -3743, -3745, -3747, -3749?\n\"Answer: -2*p - 3737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 3990384*c + 3990388.\nAnswer: -4*(c - 997597)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:13 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6855677 + 417*v + 6855677)*(-3 + 3 - v).\nAnswer: -417*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 110 + w**5 - 356 + 70*w**2 + 110 + 0*w**5 + 85 + 30*w**3 - 19*w**4 - 31*w = 0.\nAnswer: -1, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 940 - 369. Let z = q + -1718\/3. Is 16 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + -6 + (6 - -1) - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -789\/1392544 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**4 - 13050*b**3 + 9766905*b**2 - 1565521700*b - 3170215500 = 0.\nAnswer: -2, 222, 1195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0 - 0) - 7. Let d be -1*1 - 44\/(-77). What is the closest to -0.1 in j, -4\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14771226469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 100440 = -22*w + 28*w. What is the highest common factor of w and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.025 - 0.025. Let t = -8249\/74403 + -2\/8267. Which is the fourth smallest value? (a) x (b) -2 (c) 2\/15 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8111, 16121, 24073, 31937, 39683, 47281, 54701, 61913?\nAnswer: 68887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q**2 + 377*q - 128. Calculate s(-16).\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/6 + 47*d. Let s(h) = 20*h**2. Calculate c(s(k)).\nAnswer: -800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11443 (base 5) to base 4.\nAnswer: -31221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + z = s + 625, 0 = 3*s + 2*z - 368. Let f be (-1)\/(-1 + 120\/s). What is the greatest common divisor of 105 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a. Let r(q) = 37*q**2. Determine b(r(s)).\nAnswer: 259*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874274 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37 + 50 + -39 + -22\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1593 - 1589. Solve -4*n - 12 = -r, b*n + 0*r + 12 = 3*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-52))\/(45\/108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68524104 divided by -519122.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283160 by 5.\nAnswer: -56632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*w + 24*w**3 - w**2 + 261*w**5 - 142*w - 117*w - 27*w**3 wrt w.\nAnswer: 5220*w**3 - 18*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 3*v**2 - 7*v**2 + (3617*v**2 - 901*v**2 + 2492*v**2)*(1 + 2 + 0) in the form u + i*v + p*v**2 and give p.\nAnswer: 15623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, 269, 1499, 3461, 6161, 9605, 13799?\nAnswer: 18749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 11. Let r(f) = 4 - 10 + 5. Determine -22*r(q) + 2*u(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k**2 + k**2 + 3*k - 3*k. What are the prime factors of u(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*o**3 + 119*b**3*o + 30*b**2*o**4 - b*o**2 wrt o.\nAnswer: -18*b**3 + 720*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 5 - 5) + -14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - h**2 + h - 1. Let s be o(1). Solve 0*v = -s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 288001.\nAnswer: 288010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -346*u**2 - 12*u + 110. Let t be m(8). Is 9\/(-6) - t\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 6*a + 5. Let s be n(7). Suppose 0 = -3*x + s + 9. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 3:51 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -176 times -2\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*m**2 + 385*m**2 + 45*m**2 + 433*m**2.\nAnswer: 624*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -262 + 264. Suppose -6337 = -5*y - c + 522, 4*y = a*c + 5490. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let x(f) = -163715*f**2 - 576. What is x(c(m))?\nAnswer: -163715*m**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2002\/(-143)*(-2)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:31 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 + 179. Let j(u) = -3*u - 10. Let r be j(n). Solve -r = 4*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, m: 2, z: 3, b: 5, n: 3}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -102, -3, -0.3, 2.\nAnswer: -102, -3, -0.3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z - 15. Let w = 5 + -8. Calculate the remainder when p(w) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*r**3 + 1802*r**3 - 3662*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.03 (b) 0 (c) -1117 (d) 1\/6 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 212122120 (base 4) to base 6\nAnswer: 3212224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354829 is divided by 20867?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 0 + (35 - 24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 - 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-6) - (166\/(-6) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26 + 48 = 0. Let q be 1*((-222)\/(-3) + 0). Let l = q + j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -7*h**3\/3 - 2*h. Let f(i) = -2*i. What is l(f(p))?\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46\/11 - 2612\/33. Which is bigger: -83 or r?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -72, 4, -39\/2 in increasing order.\nAnswer: -72, -39\/2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k - 71*k - 1050 = -38*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9}. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 89155815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853397.\nAnswer: 281, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-6)\/(-20))\/((-153)\/(-170)). Put -0.55, y, 2\/5 in descending order.\nAnswer: 2\/5, -0.55, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - s + 5 = 0, 2*n + 385*s - 2 = 381*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((sqrt(49) - (sqrt(441)*-1)\/sqrt(9))\/sqrt(7) + sqrt(112) + (6*-4*sqrt(112))**2).\nAnswer: 6*sqrt(7) + 64510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + (-1 - (-2 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*j - 2*j. Suppose 0 = -k - 3*f + f + j, 4*f = -k + 7. Let p(n) = n**3 + 5*n**2 - 2*n - 5. Calculate p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 + 0*k**2 + 0*k**2)*(k + 2*k - k) - k**3 + 0*k**3 - k**3 + (2*k - k + 0*k)*(52 - 8*k**2 - 52) to i + s*k + f*k**2 + p*k**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.3967076465 minus -4?\nAnswer: -59.3967076465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -246.5 + 159. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0 (c) 5\/4 (d) -3 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2468709?\nAnswer: 3, 274301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1. Let v(o) = 9*o - 21. Let s(j) = 515*j - 1195. Let l(z) = -14*s(z) + 805*v(z). What is -l(w) + 175*p(w)?\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 26. Let s be ((-5)\/10)\/((-2)\/u). Suppose -2*z - s*q = 8, -4*z - z + 24 = -q. What is the closest to 2\/5 in z, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1445*-230\nAnswer: -332350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 11 = 299*b - 298*b, -4*r + 6 = 3*b + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 709644423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -v + 75. Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182554446 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19210\/6 + (-33)\/((-891)\/36)?\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - 6. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66648235.\nAnswer: 5, 29, 419, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 4\/51, 0.5, 13?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2066344773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -990, 5, -230, 0, 3, 2 in descending order.\nAnswer: 5, 3, 2, 0, -1, -230, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 + (-2)\/7. Let z(v) = -1 + 4 + g + 6*v. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 17*c - 1760 = 0. What is the lowest common multiple of 660 and c?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3689*l. Let b(a) = 4*a. Give g(b(n)).\nAnswer: 14756*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165112982 a multiple of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 4*w - 2. Let m be l(2). Suppose -m*y = -3*y + 2*a - 2, 0 = 4*y + 4*a - 16. Factor 1 - 2 - 3*t**2 + y*t**2 + 2*t.\nAnswer: -(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16*k**2 + k. Let l(t) = -t**2. Determine g(a) - 3*l(a).\nAnswer: 19*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 16*j**3\/3 + 3*j - 1649. Let z(f) = -4*f. Calculate z(q(v)).\nAnswer: -64*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585078 and 53742?\nAnswer: 31009134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 30 (b) 14\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44104*r + 493*r**6 - 464*r**2 - 44104*r wrt r?\nAnswer: 59160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 987.\nAnswer: 11\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 + -0.07. Let a = b + 2.1. What is the third biggest value in 0.2, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12649884145894 - 0.13\nAnswer: -12649884145894.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2410 + 2407 - (-44 + -6 + (0 - 0) + 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048670958 rounded to 7 dps?\nAnswer: -0.0004867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 66 = -34. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1705 and 2.\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 1 + 1 + (-2 + 0 - 1)*(-13*r - 8*r - 21*r) to y*r + j and give y.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrgl when four letters picked without replacement from rgrgrlrlrtlr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 11*k - 67. Give w(6).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/(-4)*(8\/288*-8)\/((-25)\/45)\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -391, -2, 4, 1\/3 in descending order.\nAnswer: 107, 4, 1\/3, -2, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 164384695356 and -3.\nAnswer: 164384695353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6*u + 22. Solve 0 = 3*t + u + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70 (b) -1.7 (c) 2\/25 (d) 4\/3 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.07, 0.5, -2195, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23, 0.2, 0.1, 0.7, -9, 1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*15\/((-2835)\/36)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert a68b50 (base 13) to base 15.\nAnswer: 521a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8451095235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - 4*x**4 - 2*x + 0*x**3 - 4*x**4 + 0*x**4 - 5*x**4 + (0*x**3 + x**3 + x**3)*(2 - 2 - x) to f*x**2 + q*x**3 + h*x + c*x**4 + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 389715143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*2 + -4 + -2.\nAnswer: -6 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + x**2 + 5*x**2. Let r(t) = -t + 11. Let u be r(8). Let d(n) = 0*n + u*n - 4*n - 7*n. What is d(o(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 4263*l + 8514 = 0. Calculate l.\nAnswer: 2, 1419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 73*g**5 + 37*g - 5. Let v(y) = 255*y**5 + 129*y - 18. Let w(d) = -18*s(d) + 5*v(d). Find the second derivative of w(o) wrt o.\nAnswer: -780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 9783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.89 + 1.46. Let r = p + -0.47. Which is the fourth smallest value? (a) 2\/17 (b) 1 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 227 = 4*k + 234, -131 = 17*k + z for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**17)\/f)\/f**16)**44 assuming f is positive.\nAnswer: f**(-1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322084295 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**3 + 34*i**2 + 11*i - 1. Let v(t) = 4*t**3 + 16*t**2 + 6*t. Let z(c) = -3*k(c) + 7*v(c). Give z(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18863 divided by 4?\nAnswer: -18863\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 3\/(0 - -1). Suppose -w*d - 5*f = 2099995, 0*d + 2800002 = -4*d + 2*f. What is d rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-8749)\/182) + 4\/(-56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (10 - (-5 + 9)) - (-2 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75660 is divided by 3151?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from pllpmmlllmmplpp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6695925053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 549891 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279\/8 - -35. Let j(b) be the first derivative of 0*b + 6 + 0*b**2 - r*b**4 - 1\/3*b**3. Factor j(m).\nAnswer: -m**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 206*o**3 + 5*o**2 + 143*o + 256. Determine y(-2).\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1848*z - 1471*z = 5655 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7463, -14884, -22307, -29732, -37159, -44588, -52019?\n\"Answer: -o**2 - 7418*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22163278?\nAnswer: 2, 127, 87257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 10:36 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*a + 271*a - 2916953. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 2170*f + 235445.\nAnswer: 5*(f - 217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 - 3)*(15*d**3 - 9*d**3 + 4*d**3) + 34*d**3 - 22*d**3 - 19*d**3 in the form i*d**3 + j*d + x + c*d**2 and give i.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150626000 rounded to the nearest one million?\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -447 - -5?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1, -2, -6607\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, -5, -85 in descending order.\nAnswer: 3, -2, -4, -5, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*l - l - 10, 0 = -l - 1. What is the second derivative of 1 + 0*g + 3*g**3 - 3*g - 33*g**s - 21*g**3 wrt g?\nAnswer: -306*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 10 = 2*b, -5*b + 245 = 5*c. Let n = -31 + c. Calculate the lowest common multiple of n and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l + 2. Calculate the smallest common multiple of s(6) and 0 - 2*(5 - 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + f - 2*f + 11 = 0, -4*n = 4*f - 4. Suppose -2*i + y = -17, -46 = -n*i - 4*y + 29. What is the units digit of i - 1 - 15\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 9 - (15 + 0 - 10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -5. Let y = b - 32.07. What is the third smallest value in y, -5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 337756 = -4*c, -4*l = -260 + 252. What is c rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1292031 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = o - 20, 55 = 5*o - 3*a - 41. Let m(q) = -q**2 + 8*q. Let s be m(7). Let c = s + o. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}